# Faculty Publications - Murat Arcak

## Books

- M. Arcak, C. Meissen, and A. Packard,
*Networks of Dissipative Systems: Compositional Certification of Stability, Performance, and Safety*, SpringerBriefs in Control, Automation and Robotics, Springer, 2016. - H. Bai, M. Arcak, and J. Wen,
*Cooperative Control Design: A Systematic, Passivity-Based Approach*, Communications and Control Engineering, New York: Springer, 2011.

## Book chapters or sections

- Z. Aminzare, Y. Shafi, M. Arcak, and E. D. Sontag, "Guaranteeing spatial uniformity in reaction-diffusion systems using weighted L2-norm contractions," in
*A Systems Theoretic Approach to Systems and Synthetic Biology: Models and System Characterizations*, V. V. Kulkarni, G. Stan, and K. Raman, Eds., Vol. 1, London, U.K.: Springer Verlag, 2014, ch. 3. - M. Arcak, "Passivity approach to network stability analysis and distributed control synthesis," in
*The Control Handbook*, W. Levine, Ed., second ed., Vol. II, CRC Press, 2010, pp. 1-18. - E. D. Sontag and M. Arcak, "Passivity-based stability of interconnection structures," in
*Recent Advances in Learning and Control: Festschrift on the Occasion of Mathukumalli Vidyasagar's 60th Birthday*, V. D. Blondel, S. P. Boyd, and H. Kimura, Eds., Lecture Notes in Control and Information Sciences, Vol. 371, Berlin, Germany: Springer-Verlag, 2008, pp. 195-204. - M. Arcak, "Circle-Criterion Observers and Their Feedback Applications: An Overview," in
*Current Trends in Nonlinear Systems and Control: In Honor of Petar Kokotovic and Turi Nicosia*, L. Menini, L. Zaccarian, and C. T. Abdallah, Eds., Systems and Control: Foundations and Applications, Boston, MA: Birkhauser Boston, 2006, pp. 3-14. - E. Biyik and M. Arcak, "Passivity-based agreement protocols: Continuous-time and sampled-data designs," in
*Group Coordination and Cooperative Control: Proc. 2006 Workshop on Group Coordination and Cooperative Control*, K. Y. Pettersen, J. T. Gravdahl, and H. Nijmeijer, Eds., Lecture Notes in Control and Information Sciences, Vol. 336, Berlin, Germany: Springer-Verlag, 2006, pp. 21-33. - P. V. Kokotovic and M. Arcak, "Robust Control of Nonlinear Systems: A Control Lyapunov Function Approach," in
*Encyclopedia of Life Support Systems (EOLSS): Control Systems, Robotics, and Automation*, H. Unbehauen, Ed., Oxford, Oxfordshire, UK: Eolss Publishers, 2004. - P. V. Kokotovic and M. Arcak, "Activation of Nonlinear Feedback Concepts," in
*System Theory: Modeling, Analysis, and Control--A Tribute to Sanjoy K. Mitter*, T. E. Djaferis and I. C. Schick, Eds., The Springer International Series in Engineering and Computer Science, New York, NY: Springer-Verlag New York, LLC, 1999, pp. 379-389.

## Articles in journals or magazines

- S. Coogan and M. Arcak, "Stability of traffic flow networks with a polytree topology,"
*Automatica*, vol. 66, pp. 246 - 253, April 2016. [abstract] - J. Hsia, W. Holtz, M. Maharbiz, M. Arcak, and J. Keasling, "Modular synthetic inverters from zinc finger proteins and small RNAs,"
*PLoS ONE*, vol. 11, no. 2, pp. e0149483, Feb. 2016. [abstract] - S. Vichik, M. Arcak, and F. Borrelli, "Stability of an analog optimization circuit for quadratic programming,"
*Systems & Control Letters*, vol. 88, pp. 68 - 74, Feb. 2016. [abstract] - C. Meissen, L. Lessard, M. Arcak, and A. K. Packard, "Compositional performance certification of interconnected systems using ADMM,"
*Automatica*, vol. 61, pp. 55 - 63, Nov. 2015. [abstract] - S. Coogan and M. Arcak, "A compartmental model for traffic networks and its dynamical behavior,"
*Automatic Control, IEEE Transactions on*, vol. 60, no. 10, pp. 2698-2703, Oct. 2015. [abstract] - A. Rufino Ferreira, J. Hsia, and M. Arcak, "A compartmental lateral inhibition system to generate contrasting patterns,"
*Life Sciences Letters, IEEE*, vol. 1, no. 1, pp. 7-10, June 2015. [abstract] - S. Shafi and M. Arcak, "Adaptive synchronization of diffusively coupled systems,"
*Control of Network Systems, IEEE Transactions on*, vol. 2, no. 2, pp. 131-141, June 2015. [abstract] - S. Coogan and M. Arcak, "A dissipativity approach to safety verification for interconnected systems,"
*Automatic Control, IEEE Transactions on*, vol. 60, no. 6, pp. 1722-1727, June 2015. [abstract] - J. H. Tu, M. Arcak, and M. Maharbiz, "Decoupling translational and rotational effects on the phase synchronization of rotating helices,"
*Phys. Rev. E*, vol. 91, pp. 023018, Feb. 2015. [abstract] - J. Maidens and M. Arcak, "Reachability analysis of nonlinear systems using matrix measures,"
*IEEE Transactions on Automatic Control*, vol. 60, no. 1, pp. 265 - 270, Jan. 2015. [abstract] - J. H. Tu, M. Arcak, and M. Maharbiz, "The effects of translation and rotation on flagellar synchronization,"
*Bulletin of the American Physical Society*, vol. 59, 2014. - A. S. R. Ferreira, J. Hsia, M. Arcak, M. Maharbiz, and A. Arkin, "Pattern Formation with a Compartmental Lateral Inhibition System,"
*arXiv preprint arXiv:1407.6426*, 2014. - S. Coogan and M. Arcak, "A computational approach to synthesizing guards for hybrid systems,"
*Systems and Control Letters*, vol. 73, pp. 25 - 32, Nov. 2014. [abstract] - A. S. Rufino Ferreira and M. Arcak, "A graph partitioning approach to predicting patterns in lateral inhibition systems,"
*SIAM Journal on Applied Dynamical Systems*, vol. 12, no. 4, pp. 2012 - 2031, Dec. 2013. [abstract] - S. Y. Shafi, M. Arcak, M. Jovanovic, and A. K. Packard, "Synchronization of diffusively-coupled limit cycle oscillators,"
*Automatica*, vol. 49, no. 12, pp. 3613 - 3622, Dec. 2013. [abstract] - M. Arcak, "Pattern formation by lateral inhibition in large-scale networks of cells,"
*IEEE Transactions on Automatic Control*, vol. 58, no. 5, pp. 1250-1262, May 2013. [abstract] - E. Summers, M. Arcak, and A. Packard, "Delay robustness of interconnected passive systems: An integral quadratic constraint approach,"
*IEEE Transactions on Automatic Control*, vol. 58, no. 3, pp. 712-724, March 2013. [abstract] - A. Ferreira, M. Arcak, and E. Sontag, "Stability certification of large scale stochastic systems using dissipativity,"
*Automatica*, vol. 48, no. 11, pp. 2956-2964, Nov. 2012. [abstract] - S. Coogan and M. Arcak, "Scaling the size of a formation using relative position feedback,"
*Automatica*, vol. 48, no. 10, pp. 2677-2685, Oct. 2012. [abstract] - C. Mayhew, R. Sanfelice, J. Sheng, M. Arcak, and A. Teel, "Quaternion-based hybrid feedback for robust global attitude synchronization,"
*IEEE Transactions on Automatic Control*, vol. 57, no. 8, pp. 2122-2127, Aug. 2012. [abstract] - S. Shafi, M. Arcak, and L. El Ghaoui, "Graph weight design to meet Laplacian spectral constraints,"
*IEEE Transactions on Automatic Control*, vol. 57, no. 7, pp. 1872-1877, July 2012. [abstract] - J. Hsia, W. J. Holtz, D. C. Huang, M. Arcak, and M. Maharbiz, "A feedback quenched oscillator produces Turing patterning with one diffuser,"
*PLoS Computational Biology*, vol. 8, no. 1, pp. e1002331, Jan. 2012. [abstract] - M. Arcak, "Diagonal stability on cactus graphs and application to network stability analysis,"
*IEEE Transactions on Automatic Control*, vol. 56, no. 12, pp. 2766-2777, Dec. 2011. [abstract] - G. Hines, M. Arcak, and A. Packard, "Equilibrium-independent passivity: A new definition and numerical certification,"
*Automatica*, vol. 47, no. 9, pp. 1949-1956, Sep. 2011. [abstract] - M. Arcak, "Certifying spatially uniform behavior in reaction-diffusion PDE and compartmental ODE systems,"
*Automatica*, vol. 47, no. 6, pp. 1219-1229, June 2011. [abstract] - X. Ge, M. Arcak, and K. Salama, "Nonlinear Analysis of Ring Oscillator and Cross-Coupled Oscillator Circuits,"
*Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms*, vol. 17, no. 6, pp. 959-977, Dec. 2010. [abstract] - L. Scardovi, M. Arcak, and E. Sontag, "Synchronization of interconnected systems with applications to biochemical networks: An input-output approach,"
*IEEE Transactions on Automatic Control*, vol. 55, no. 6, pp. 1367-1379, June 2010. [abstract] - H. Bai and M. Arcak, "Instability mechanisms in cooperative control,"
*IEEE Transactions on Automatic Control*, vol. 55, pp. 258-263, Jan. 2010. [abstract] - J. O'Rourke, M. Arcak, and R. Ramani, "Real-time optimization of net power in a fuel cell system,"
*Journal of Power Sources*, vol. 187, pp. 422-430, 2009. [abstract] - X. Ge and M. Arcak, "A sufficient condition for additive D-stability and application to reaction-diffusion models,"
*Systems and Control Letters*, vol. 58, pp. 736-741, Oct. 2009. [abstract] - J. O'Rourke, R. Ramani, and M. Arcak, "In situ detection of anode flooding of a PEM fuel cell,"
*International Journal of Hydrogen Energy*, vol. 34, no. 16, pp. 6765-6770, Aug. 2009. [abstract] - A. Chakrabortty and M. Arcak, "Robust stabilization and performance recovery of nonlinear systems with unmodeled dynamics,"
*IEEE Transactions on Automatic Control*, vol. 54, no. 6, pp. 1351-1356, June 2009. [abstract] - H. Bai, M. Arcak, and J. Wen, "Adaptive motion coordination: Using velocity feedback to track a reference velocity,"
*Automatica*, vol. 45, no. 4, pp. 1020-1025, April 2009. [abstract] - A. Chakrabortty and M. Arcak, "Time-scale separation redesigns for stabilization and performance recovery of uncertain nonlinear systems,"
*Automatica*, vol. 45, no. 1, pp. 34-44, Jan. 2009. [abstract] - H. Bai, M. Arcak, and J. Wen, "Rigid body attitude coordination without inertial frame information,"
*Automatica*, vol. 44, no. 12, pp. 3170-3175, Dec. 2008. [abstract] - T. Alpcan, X. Fan, T. Basar, M. Arcak, and J. T. Wen, "Power control for multicell CDMA wireless networks: A team optimization approach,"
*Wireless Networks*, vol. 14, no. 5, pp. 647-657, Oct. 2008. [abstract] - J. O'Rourke, M. Ramani, and M. Arcak, "Using electrochemical impedance to determine airflow rates,"
*Intl. J. Hydrogen Energy*, vol. 33, no. 17, pp. 4694-4701, Sep. 2008. [abstract] - H. Bai, M. Arcak, and J. T. Wen, "Adaptive design for reference velocity recovery in motion coordination,"
*Systems and Control Letters*, vol. 57, no. 8, pp. 602-610, Aug. 2008. [abstract] - E. Biyik and M. Arcak, "Gradient climbing in formation via extremum-seeking and passivity-based coordination rules,"
*Asian J. Control: Special Issue on "Collective Behavior and Control of Multi-Agent Systems"*, vol. 10, no. 2, pp. 201-211, March 2008. [abstract] - J. H. Chow, A. Chakrabortty, L. Vanfretti, and M. Arcak, "Estimation of radial power system transfer path dynamic parameters using synchronized phasor data,"
*IEEE Trans. Power Systems*, vol. 23, no. 2, pp. 564-571, Feb. 2008. [abstract] - E. Biyik and M. Arcak, "Area aggregation and time-scale modelling for sparse nonlinear networks,"
*Systems and Control Letters*, vol. 57, no. 2, pp. 142-149, Feb. 2008. [abstract] - M. R. Jovanovic, M. Arcak, and E. D. Sontag, "A passivity-based approach to stability of spatially distributed systems with a cyclic interconnection structure,"
*IEEE Trans. Automatic Control: Joint Special Issue on Systems Biology*, vol. 53, pp. 75-86, Jan. 2008. [abstract] - M. Arcak and E. D. Sontag, "A passivity-based stability criterion for a class of biochemical reaction networks,"
*Mathematical Biosciences and Engineering*, vol. 5, no. 1, pp. 1-19, Jan. 2008. [abstract] - I. A. F. Ihle, M. Arcak, and T. I. Fossen, "Passivity-based designs for synchronized path-following,"
*Automatica*, vol. 43, no. 9, pp. 1508-1518, Sep. 2007. [abstract] - M. Arcak, "Passivity as a design tool for group coordination,"
*IEEE Trans. Automatic Control*, vol. 52, no. 8, pp. 1380-1390, Aug. 2007. [abstract] - J. H. Chow, A. Chakrabortty, M. Arcak, B. Bhargava, and A. Salazar, "Synchronized phasor data based energy function analysis of dominant power transfer paths in large power systems,"
*IEEE Trans. Power Systems*, vol. 22, no. 2, pp. 727-734, May 2007. [abstract] - X. Fan, K. Chandrayana, M. Arcak, S. Kalyanaraman, and J. T. Y. Wen, "A two-time-scale design for edge-based detection and rectification of uncooperative flows,"
*IEEE/ACM Trans. Networking*, vol. 14, no. 6, pp. 1313-1322, Dec. 2006. [abstract] - X. Fan, T. Alpcan, M. Arcak, J. T. Y. Wen, and T. Basar, "A passivity approach to game-theoretic CDMA power control,"
*Automatica*, vol. 42, no. 11, pp. 1837-1847, Nov. 2006. [abstract] - M. Arcak and E. D. Sontag, "Diagonal stability of a class of cyclic systems and its connection with the secant criterion,"
*Automatica*, vol. 42, no. 9, pp. 1531-1537, Sep. 2006. [abstract] - E. Biyik and M. Arcak, "A hybrid redesign of Newton observers in the absence of an exact discrete-time model,"
*Systems and Control Letters*, vol. 55, no. 6, pp. 429-436, June 2006. [abstract] - H. Gorgun, M. Arcak, and F. Barbir, "An algorithm for estimation of membrane water content in PEM fuel cells,"
*J. Power Sources*, vol. 157, no. 1, pp. 389-394, June 2006. [abstract] - X. Fan and M. Arcak, "Delay robustness of a class of nonlinear systems and applications to communication networks,"
*IEEE Trans. Automatic Control*, vol. 51, no. 1, pp. 139-144, Jan. 2006. [abstract] - M. Arcak, "Certainty-equivalence output-feedback design with circle-criterion observers,"
*IEEE Trans. Automatic Control*, vol. 50, no. 6, pp. 905-909, June 2005. [abstract] - P. Tsiotras and M. Arcak, "Low-bias control of AMB subject to voltage saturation: State-feedback and observer designs,"
*IEEE Trans. Control Systems Technology*, vol. 13, no. 2, pp. 262-273, March 2005. [abstract] - H. Gorgun, M. Arcak, S. Varigonda, and S. A. Bortoff, "Observer designs for fuel processing reactors in fuel cell power systems,"
*Intl. J. Hydrogen Energy*, vol. 30, no. 4, pp. 447-457, March 2005. [abstract] - X. Fan, M. Arcak, and J. T. Wen, "A robustness analysis of game-theoretic CDMA power control,"
*Turkish J. Electrical Engineering and Computer Sciences, Elektrik*, vol. 12, no. 3, pp. 139-150, Nov. 2004. [abstract] - L. Praly and M. Arcak, "A relaxed condition for stability of nonlinear observer-based controllers,"
*Systems and Control Letters*, vol. 53, no. 3-4, pp. 311-320, Nov. 2004. [abstract] - M. Arcak and D. Nesic, "A framework for nonlinear sampled-data observer design via approximate discrete-time models and emulation,"
*Automatica*, vol. 40, no. 11, pp. 1931-1938, Nov. 2004. [abstract] - X. Fan, M. Arcak, and J. T. Wen, "Robustness of network flow control against distrubances and time-delay,"
*Systems and Control Letters*, vol. 53, no. 1, pp. 13-29, Sep. 2004. [abstract] - J. T. Wen and M. Arcak, "A unifying passivity framework for network flow control,"
*IEEE Trans. Automatic Control*, vol. 49, no. 2, pp. 162-174, Feb. 2004. [abstract] - M. Arcak, H. Gorgun, L. M. Pedersen, and S. Varigonda, "A nonlinear observer design for fuel cell hydrogen estimation,"
*IEEE Trans. Control Systems Technology*, vol. 12, no. 1, pp. 101-110, Jan. 2004. [abstract] - X. Fan and M. Arcak, "Observer design for systems with multivariable monotone nonlinearities,"
*Systems and Control Letters*, vol. 50, no. 4, pp. 319-330, Nov. 2003. [abstract] - L. Moreau, E. Sontag, and M. Arcak, "Feedback tuning of bifurcations,"
*Systems and Control Letters*, vol. 50, no. 3, pp. 229-239, Oct. 2003. [abstract] - M. Arcak, "Book Review: L2-Gain and Passivity Techniques in Nonlinear Control by Arjan van der Schaft,"
*Automatica*, vol. 39, no. 6, pp. 1118-1119, June 2003. - M. Arcak, M. Larsen, and P. Kokotovic, "Circle and Popov criteria as tools for nonlinear feedback design,"
*Automatica*, vol. 39, no. 4, pp. 643-650, April 2003. [abstract] - M. Arcak, M. Larsen, and P. Kokotovic, "Boundedness without absolute stability in systems with stiffening nonlinearities,"
*European J. Control: Special Issue on Dissipativity of Dynamical Systems*, vol. 8, no. 3, pp. 243-250, 2002. [abstract] - M. Arcak, D. Angeli, and E. Sontag, "A unifying integral ISS framework for stability of nonlinear cascades,"
*SIAM J. Control and Optimization*, vol. 40, no. 6, pp. 1888-1904, 2002. [abstract] - M. Arcak and A. Teel, "Input-to-state stability for a class of Lurie systems,"
*Automatica*, vol. 38, no. 11, pp. 1945-1949, Nov. 2002. [abstract] - R. Sepulchre, M. Arcak, and A. R. Teel, "Trading the stability of finite zeros for global stabilization of nonlinear cascade systems,"
*IEEE Trans. Automatic Control*, vol. 47, no. 3, pp. 521-525, March 2002. [abstract] - M. Arcak and P. Kokotovic, "Nonlinear observers: A circle criterion design and robustness analysis,"
*Automatica*, vol. 37, no. 12, pp. 1923-1930, Dec. 2001. [abstract] - Z. P. Jiang and M. Arcak, "Robust global stabilization with ignored input dynamics: An ISS small-gain approach,"
*IEEE Trans. Automatic Control*, vol. 46, no. 9, pp. 1411-1415, Sep. 2001. [abstract] - M. Arcak and P. Kokotovic, "Observer-based control of systems with slope-restricted nonlinearities,"
*IEEE Trans. Automatic Control*, vol. 46, no. 7, pp. 1146-1150, July 2001. [abstract] - M. Arcak and P. Kokotovic, "Redesign of backstepping for robustness against unmodeled dynamics,"
*Intl. J. Robust and Nonlinear Control: Special Issue on Robustness in Identification and Control*, vol. 11, no. 7, pp. 633-643, June 2001. - O. M. Aamo, M. Arcak, T. I. Fossen, and P. V. Kokotovic, "Global output tracking control of a class of Euler-Lagrange systems with monotonic nonlinearities in the velocities,"
*Intl. J. Control*, vol. 74, no. 7, pp. 649-658, May 2001. [abstract] - P. Kokotovic and M. Arcak, "Constructive nonlinear control: A historical perspective,"
*Automatica*, vol. 37, no. 5, pp. 637-662, May 2001. [abstract] - M. Arcak and P. Kokotovic, "Feasibility conditions for circle criterion designs,"
*Systems and Control Letters*, vol. 42, no. 5, pp. 405-412, April 2001. [abstract] - M. Arcak, A. Teel, and P. Kokotovic, "Robust nonlinear control of feedforward systems with unmodeled dynamics,"
*Automatica*, vol. 37, no. 2, pp. 265-272, Feb. 2001. [abstract] - M. Arcak and P. Kokotovic, "Robust nonlinear control of systems with input unmodeled dynamics,"
*Systems and Control Letters*, vol. 41, no. 2, pp. 115-122, Oct. 2000. [abstract] - M. Arcak, M. Seron, J. Braslavsky, and P. Kokotovic, "Robustification of backstepping against input unmodeled dynamics,"
*IEEE Trans. Automatic Control*, vol. 45, no. 7, pp. 1358-1363, July 2000. [abstract] - M. Arcak and P. Kokotovic, "Observer-based stabilization of systems with monotonic nonlinearities,"
*Asian J. Control*, vol. 1, no. 1, pp. 42-48, March 1999. [abstract]

## Articles in conference proceedings

- E. Kim, M. Arcak, and S. A. Seshia, "Directed specifications and assumption mining for monotone dynamical systems," in
*19th ACM International Conference on Hybrid Systems: Computation and Control*, 2016, pp. 21-30. - E. Kim, M. Arcak, and S. A. Seshia, "Compositional controller synthesis for vehicular traffic networks," in
*Proceedings of the 54th IEEE Conference on Decision and Control*, 2015, pp. 6165-6171. - J. Montenbruck, M. Arcak, and F. Allgower, "Stabilizing submanifolds with passive input-output relations," in
*Proceedings of the 54th IEEE Conference on Decision and Control*, 2015, pp. 4381-4387. - S. Coogan, G. Gomes, E. Kim, M. Arcak, and P. Varaiya, "Offset optimization for a network of signalized intersections via semidefinite relaxation," in
*Proceedings of the 54th IEEE Conference on Decision and Control*, 2015, pp. 2187-2192. - J. Maidens, P. Larson, and M. Arcak, "Optimal experiment design for physiological parameter estimation using hyperpolarized carbon-13 magnetic resonance imaging," in
*Proceedings of the 2015 American Control Conference*, 2015, pp. 5770-5775. - S. Coogan, E. Aydin Gol, M. Arcak, and C. Belta, "Controlling a network of signalized intersections from temporal logic specifications," in
*Proceedings of the 2015 American Control Conference*, 2015, pp. 3919-3924. - S. Coogan and M. Arcak, "Efficient finite abstraction of mixed monotone systems," in
*18th ACM International Conference on Hybrid Systems: Computation and Control*, 2015, pp. 58-67. - C. Meissen, L. Lessard, M. Arcak, and A. Packard, "Performance certification of interconnected nonlinear systems using ADMM," in
*Proceedings of the 53rd IEEE Conference on Decision and Control*, 2014, pp. 5131-5136. - A. Rufino Ferreira, J. Hsia, M. Arcak, M. Maharbiz, and A. Arkin, "Pattern formation with a compartmental lateral inhibition system," in
*Proceedings of the 53rd IEEE Conference on Decision and Control*, 2014, pp. 5413-5418. - J. Maidens and M. Arcak, "Trajectory-based reachability analysis of switched nonlinear systems using matrix measures," in
*Proceedings of the 53rd IEEE Conference on Decision and Control*, 2014, pp. 6358-6364. - Y. Shafi and M. Arcak, "An adaptive algorithm for synchronization in diffusively coupled systems," in
*Proceedings of the 2014 American Control Conference*, 2014, pp. 2220-2225. - S. Coogan and M. Arcak, "Dynamical properties of a compartmental model for traffic networks," in
*Proceedings of the 2014 American Control Conference*, 2014, pp. 2511-2516. - S. Coogan and M. Arcak, "Freeway traffic control from linear temporal logic specifications," in
*Proceedings of the 5th ACM/IEEE International Conference on Cyber-Physical Systems*, 2014, pp. 36-47. - S. Coogan and M. Arcak, "Verifying safety of interconnected passive systems using SOS programming," in
*Proceedings of the 52nd IEEE Conference on Decision and Control*, 2013, pp. 5951-5956. - Y. Shafi, Z. Aminzare, M. Arcak, and E. Sontag, "Spatial uniformity in diffusively-coupled systems using L2 norm contractions," in
*Proceedings of the 2013 American Control Conference*, 2013, pp. 5529-5534. - A. Rufino Ferreira and M. Arcak, "Predicting patterns in lateral inhibition systems via graph partitioning," in
*Proceedings of the 2013 American Control Conference*, 2013, pp. 5497-5502. - Y. Shafi, M. Arcak, and M. Jovanovic, "Synchronization of limit cycle oscillations in diffusively-coupled systems," in
*Proceedings of the 2013 American Control Conference*, 2013, pp. 4771-4776. - M. Arcak, "Synchronization and pattern formation in diffusively coupled systems," in
*Proceedings of the 51st IEEE Conference on Decision and Control*, 2012, pp. 7184-7192. - S. Coogan and M. Arcak, "Guard synthesis for safety of hybrid systems using sum of squares programming," in
*Proceedings of the 51st IEEE Conference on Decision and Control*, 2012, pp. 6138-6143. - J. Hsia, W. Holtz, M. Maharbiz, and M. Arcak, "New architecture for patterning gene expression using zinc finger proteins and small RNAs," in
*Proceedings of the 51st IEEE Conference on Decision and Control*, 2012, pp. 1633-1638. - M. Arcak, "On biological pattern formation by contact inhibition," in
*Proceedings of the 2012 American Control Conference*, 2012, pp. 3439-3444. - S. Coogan and M. Arcak, "Formation control with size scaling using relative displacement feedback," in
*Proceedings of the 2012 American Control Conference*, 2012, pp. 3877-3882. - E. Summers, M. Arcak, and A. Packard, "Further results on delay robustness of interconnected passive systems," in
*Proceedings of the 2012 American Control Conference*, 2012, pp. 4697-4702. - A. S. Rufino Ferreira, M. Arcak, and E. Sontag, "A decomposition-based approach to stability analysis of large-scale stochastic systems," in
*Proceedings of the 2012 American Control Conference*, 2012, pp. 6382-6387. - S. Shafi, M. Arcak, and L. El Ghaoui, "Graph weight design for Laplacian eigenvalue constraints with multi-agent systems applications," in
*Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference*, 2011, pp. 5541-5546. - S. Coogan, M. Arcak, and M. Egerstedt, "Scaling the size of a multiagent formation via distributed feedback," in
*Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference*, 2011, pp. 994-999. - E. Summers, M. Arcak, and A. Packard, "Evaluating the delay robustness of interconnected passive systems with a frequency-dependent integral quadratic constraint," in
*Proceedings of the 2011 American Control Conference*, 2011, pp. 4237-4242. - J. Hsia, W. Holtz, D. Huang, M. Arcak, and M. Maharbiz, "A quenched oscillator network for pattern formation in gene expression," in
*Proceedings of the 2011 American Control Conference*, 2011, pp. 2284-2289. - M. Arcak, "Diagonal stability on cactus graphs," in
*Proceedings of the 49th IEEE Conference on Decision and Control*, 2010, pp. 6553-6558. - S. Shafi, M. Arcak, and L. El Ghaoui, "Designing node and edge weights of a graph to meet Laplacian eigenvalue constraints," in
*Proceedings of the 2010 Allerton Conference*, 2010. - M. Arcak, "Linear matrix inequality tests for synchrony of diffusively coupled nonlinear systems," in
*Proceedings of the 2010 Allerton Conference*, 2010. - M. Arcak, "On spatially uniform behavior in reaction-diffusion systems," in
*Proceedings of the 2010 American Control Conference*, 2010, pp. 2587-2592. - C. Mayhew, R. Sanfelice, M. Arcak, and A. Teel, "Robust global asymptotic attitude synchronization by hybrid control," in
*Proceedings of the 2010 American Control Conference*, 2010, pp. 3666-3671. - G. Hines, M. Arcak, and A. Packard, "Equilibrium-independent passivity: A new definition and implications," in
*Proceedings of the 2010 American Control Conference*, 2010, pp. 5584-5589. - X. Ge, M. Arcak, and K. Salama, "Nonlinear analysis of ring oscillator circuits," in
*Proceedings of the 2010 American Control Conference*, 2010, pp. 1772-1776. - L. Scardovi, M. Arcak, and E. Sontag, "Synchronization of interconnected systems with an input-output approach. Part I: Main results," in
*Proceedings of the 48th IEEE Conference on Decision and Control*, 2009, pp. 609-614. - L. Scardovi, M. Arcak, and E. Sontag, "Synchronization of interconnected systems with an input-output approach. Part II: State-space result and application to biochemical networks," in
*Proceedings of the 48th IEEE Conference on Decision and Control*, 2009, pp. 615-620. - X. Ge and M. Arcak, "A new sufficient condition for additive D-stability and application to cyclic reaction-diffusion models," in
*Proceedings of the 2009 American Control Conference*, 2009, pp. 2904-2909. - X. Ge, M. Arcak, and K. Salama, "Nonlinear analysis of cross-coupled oscillator circuits," in
*Proceedings of the 47th IEEE Conference on Decision and Control*, 2008, pp. 13-18. - H. Bai and M. Arcak, "Instability mechanisms in cooperative control," in
*Proceedings of the 47th IEEE Conference on Decision and Control*, 2008, pp. 357-362. - A. Chakrabortty, M. Arcak, and P. Tsiotras, "Robust redesign of a spacecraft attitude tracking control system with actuator uncertainties," in
*Proceedings of the 47th IEEE Conference on Decision and Control*, 2008, pp. 1587-1592. - A. Chakrabortty and M. Arcak, "Robust stabilization and performance recovery of nonlinear systems with input unmodeled dynamics," in
*Proceedings of the 47th IEEE Conference on Decision and Control*, 2008, pp. 3775-3780. - J. O'Rourke, M. Arcak, and M. Ramani, "Estimating air flow rates in a fuel cell system using electrochemical impedance," in
*Proceedings of the 2008 ASME Dynamic Systems and Control Conference*, 2008. - H. Bai, M. Arcak, and J. T. Wen, "Using orientation agreement to achieve planar rigid formation," in
*Proc. 2008 American Control Conf. (ACC '08)*, 2008, pp. 753-758. - H. Bai, M. Arcak, and J. T. Wen, "Adaptive motion coordination: Using velocity feedback to achieve parameter convergence," in
*proc. 2008 American Control Conf. (ACC '08)*, 2008, pp. 759-764. - X. Fan, K. Chandrayana, M. Arcak, S. Kalyanaraman, and J. Wen, "Correcting uncooperative flows: A time scale separation design (Invited Paper)," in
*Proceedings of the 2007 Information Theory and Applications Workshop*, 2007. - A. Chakrabortty, E. Scholtz, and M. Arcak, "Performance recovery of power systems with unknown parameters and faults," in
*Proc. 46th IEEE Conf. on Decision and Control (CDC 2007)*, 2007, pp. 5429-5434. - A. Chakrabortty and M. Arcak, "A three-time-scale redesign for robust stabilization and performance recovery of uncertain nonlinear systems," in
*Proc. 46th IEEE Conf. on Decision and Control (CDC 2007)*, 2007, pp. 3484-3489. - E. Biyik and M. Arcak, "Gradient climbing in formation via extremum seeking and passivity-based coordination rules," in
*Proc. 46th IEEE Conf. on Decision and Control (CDC 2007)*, 2007, pp. 3133-3138. - H. Bai, M. Arcak, and J. T. Wen, "A decentralized design for group alignment and synchronous rotation without inertial frame information," in
*Proc. 46th IEEE Conf. on Decision and Control (CDC 2007)*, 2007, pp. 2552-2557. - M. Arcak and E. D. Sontag, "A passivity-based stability criterion for a class of interconnected systems and applications to biochemical reaction networks," in
*Proc. 46th IEEE Conf. on Decision and Control (CDC 2007)*, 2007, pp. 4477-4482. - R. Quintanilla, J. T. Wen, M. Arcak, J. Frankel, M. Peeples, and M. Unrath, "Robust control for linear stages in electronic manufacturing," in
*Proc. 2007 American Control Conf. (ACC '07)*, 2007, pp. 1269-1274. - M. R. Jovanovic, M. Arcak, and E. D. Sontag, "Remarks on the stability of spatially distributed systems with a cyclic interconnection structure," in
*Proc. 2007 American Control Conf. (ACC '07)*, 2007, pp. 2696-2701. - A. Chakrabortty and M. Arcak, "A two-time-scale redesign for robust stabilization and performance recovery of uncertain nonlinear systems," in
*Proc. 2007 American Control Conf. (ACC '07)*, 2007, pp. 4643-4648. - H. Bai, M. Arcak, and J. T. Wen, "Group coordination when the reference velocity is available only to the leader: An adaptive design," in
*Proc. 2007 Amerian Control Conf. (ACC '07)*, 2007, pp. 5400-5405. - I. A. F. Ihle, M. Arcak, and T. I. Fossen, "Passivity-based designs for synchronized path following," in
*Proc. 45th IEEE Conf. on Decision and Control (CDC 2006)*, 2006, pp. 4319-4326. - E. Biyik and M. Arcak, "Area aggregation and time scale modeling for sparse nonlinear networks," in
*Proc. 45th IEEE Conf. on Decision and Control (CDC 2006)*, I, 2006, pp. 4046-4051. - J. H. Chow, A. Chakrabortty, M. Arcak, B. Bhargava, and A. Salazar, "Energy function analysis of power transfer paths using synchronized phasor data," in
*Proc. 2006 IEEE PES Power Systems Conf. and Exposition (PSCE '06)*, 2006, pp. 161-171. - X. Fan, M. Arcak, S. Kalyanaraman, and Y. S. Chan, "Delay robustness and AQM in networks," in
*Proc. 17th Intl. Symp. on Mathematical Theory of Networks and Systems (MTNS 2006)*, 2006, pp. 695-700. - J. H. Chow, A. Chakrabortty, M. Arcak, B. Bhargava, and A. Salazar, "Synchronized phasor data based energy function analysis of power transfer paths," in
*Proc. 2006 IEEE Power Engineering Society General Meeting*, 2006. - E. Biyik and M. Arcak, "Hybrid Newton observer design using the inexact Newton method and GMRES," in
*Proc. 2006 American Control Conf. (ACC '06)*, 2006, pp. 3334-3339. - M. Arcak and E. D. Sontag, "Connections between diagonal stability and the secant condition for cyclic systems," in
*Proc. 2006 American Control Conf. (ACC '06)*, 2006. - M. Arcak, "Passivity as a design tool for group coordination," in
*Proc. 2006 American Control Conf. (ACC '06)*, 2006, pp. 29-34. - X. Fan, K. Chandrayana, M. Arcak, S. Kalyanaraman, and J. T. Wen, "A two-time scale design for detection and rectification of uncooperative network flows," in
*Proc. 44th IEEE Conf. on Decision and Control, and the 2005 European Control Conf. (CDC-ECC '05)*, 2005, pp. 1842-1847. - M. Arcak, "Redesigning a class of nonlinear observers for certainty-equivalence control," in
*Proc. 4th IEEE Conf. on Decision and Control, and the 2005 European Control Conf. (CDC-05)*, 2005, pp. 2628-2633. - H. Gorgun, M. Arcak, and F. Barbir, "An algorithm for estimation of membrane water content in PEM fuel cells," in
*Proc. 1st Intl. Hydrogen Energy Congress and Exhibition (IHEC 2005)*, 2005. - M. Arcak and D. Nesic, "Nonlinear sampled-data observer design via approximate discrete-time models and emulation," in
*Proc. 16th IFAC World Congress*, P. Piztek, Ed., 2005, pp. 6 pg. - E. Biyik and M. Arcak, "Newton observer design in the absence of an exact discrete-time model," in
*Proc. 2005 American Control Conf. (ACC '05)*, Vol. 6, 2005, pp. 4187-4191. - H. Gorgun, M. Arcak, and F. Barbir, "A voltage-based observer design for membrane water content in PEM fuel cells," in
*Proc. 2005 American Control Conf. (ACC '05)*, Vol. 7, 2005, pp. 4796-4801. - T. Alpcan, X. Fan, T. Basar, M. Arcak, and J. T. Wen, "Power control for multicell CDMA wireless networks: A team optimization approach," in
*Proc. 3rd Intl. Symp. on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt 2005)*, 2005, pp. 379-388. - X. Fan and M. Arcak, "Delay robustness of a class of nonlinear systems and applications to communication networks," in
*Proc. 43rd IEEE Conf. on Decision and Control (CDC 2004)*, Vol. 5, 2004, pp. 5010-5015. - H. Gorgun, M. Arcak, S. Varigonda, and S. A. Bortoff, "Nonlinear observer design for fuel processing reactors in fuel cell power systems," in
*Proc. 2004 American Control Conf. (ACC '04)*, Vol. 1, 2004, pp. 845-850. - X. Fan, M. Arcak, and J. T. Wen, "Passivation designs for CDMA uplink power control," in
*Proc. 2004 American Control Conf. (ACC '04)*, Vol. 4, 2004, pp. 3617-3621. - X. Fan, M. Arcak, and J. T. Wen, "Robustness of CDMA power control against disturbances and time-delays," in
*Proc. 2004 American Control Conf. (ACC '04)*, Vol. 4, 2004, pp. 3622-3627. - H. Gorgun and M. Arcak, "Using observers for fault diagnostics in fuel cell power systems," in
*Proc. 12th Mediterranean Control Conf. (MED 2004)*, 2004. - J. T. Wen, M. Arcak, and X. Fan, "Distributed optimization in data networks: A passivity approach," in
*Proc. 38th Annual Conf. on Information Sciences and Systems (CISS 2004)*, 2004, pp. 1111-1116. - L. Moreau, E. D. Sontag, and M. Arcak, "How feedback can tune a bifurcation parameter towards its unknown critical bifurcation value," in
*Proc. 42nd IEEE Conf. on Decision and Control (CDC 2003)*, Vol. 3, 2003, pp. 2401-2406. - X. Fan, M. Arcak, and J. T. Wen, "Lp stability and delay robustness of network flow control," in
*Proc. 42nd IEEE Conf. on Decision and Control (CDC 2003)*, Vol. 4, 2003, pp. 3683-3688. - M. Arcak and D. Nesic, "Observer design for sampled-data nonlinear systems via approximate discrete-time models," in
*Proc. 42nd IEEE Conf. on Decision and Control (CDC 2003)*, Vol. 1, 2003, pp. 49-54. - M. Arcak, H. Gorgun, L. M. Pedersen, and S. Varigonda, "An adaptive observer design for fuel cell hydrogen estimation," in
*Proc. 2003 American Control Conf. (ACC '03)*, Vol. 3, 2003, pp. 2037-2042. - J. T. Wen and M. Arcak, "A unifying passivity framework for network flow control," in
*Proc. 22nd Annual Joint Conf. of the IEEE Computer and Communications Societies (INFOCOM 2003)*, Vol. 2, 2003, pp. 1156-1166. - P. Tsiotras and M. Arcak, "Low-bias control of AMB subject to voltage saturation: State-feedback and observer designs," in
*Proc. 41st IEEE Conf. on Decision and Control (CDC 2002)*, Vol. 3, 2002, pp. 2474-2479. - L. Praly and M. Arcak, "On certainty-equivalence design for nonlinear observer-based controllers," in
*Proc. 41st IEEE Conf. on Decision and Control (CDC 2002)*, Vol. 2, 2002, pp. 1485-1490. - X. Fan and M. Arcak, "Nonlinear observer design for systems with multivariable monotone nonlinearities," in
*Proc. 41st IEEE Conf. on Decision and Control (CDC 2002)*, Vol. 1, 2002, pp. 684-688. - M. Arcak, "A global separation theorem for a new class of nonlinear observers," in
*Proc. 41st IEEE Conf. on Decision and Control (CDC 2002)*, Vol. 1, 2002, pp. 676-681. - M. Arcak, M. Larsen, and P. Kokotovic, "Circle and Popov criteria as tools for nonlinear feedback designs," in
*Optimal Control: Proc. 15th IFAC Triennial World Congress(IFAC 2002)*, E. F. Camacho, L. Basanez, and J. A. de la Puente, Eds., IFAC Proceedings, Vol. D, 2002, pp. 85-90. - M. Arcak and A. Teel, "Input-to-state stability and boundedness in Lurie systems," in
*Proc. 2002 American Control Conf. (ACC '02)*, Vol. 1, 2002, pp. 62-67. - M. Arcak, "Observer-based backstepping with weak nonlinear damping," in
*Proc. 2002 American Control Conf. (ACC '02)*, Vol. 5, 2002, pp. 3478-3483. - R. Sepulchre, M. Arcak, and A. R. Teel, "Trading the stability of finite zeros for global stabilization of nonlinear cascade systems," in
*Proc. 40th IEEE Conf. on Decision and Control (CDC 2001)*, Vol. 3, 2001, pp. 3025-3030. - M. Arcak, D. Angeli, and E. Sontag, "Stabilization of cascades using integral input-to-state stability," in
*Proc. 40th IEEE Conf. on Decision and Control (CDC 2001)*, Vol. 4, 2001, pp. 3814-3819. - P. Encarnacao, A. Pascoal, and M. Arcak, "Path following for marine vehicles in the presence of unknown currents," in
*Robot Control 2000: Proc. of the 6th IFAC Symp. on Robot Control (SYROCO '00)*, P. Kopacek, Ed., Vol. 2, 2001, pp. 507-512. - P. V. Kokotovic and M. Arcak, "Nonlinear and adaptive control: An abbreviated status report (Invited Paper)," in
*Proc. 9th Mediterranean Conf. on Control and Automation (MED 2001)*, 2001, pp. 1-15. - M. Arcak and P. Kokotovic, "Observer-based control of systems with slope-restricted nonlinearities," in
*Proc. 2001 American Control Conf. (ACC '01)*, Vol. 1, 2001, pp. 384-389. - P. Encarnacao, A. Pascoal, and M. Arcak, "Path following for autonomous marine craft," in
*Manoeuvring and Control of Marine Craft 2000: Proc. 5th IFAC Conf.*, M. Blanke, M. M. A. Pourzanjani, and Z. Z. Vukic, Eds., IFAC Proceedings, 2001, pp. 117-122. - M. Arcak and P. Kokotovic, "Robust output-feedback design using a new class of nonlinear observers," in
*Proc. 39th IEEE Conf. on Decision and Control (CDC 2000)*, Vol. 1, 2000, pp. 778-783. - Z. P. Jiang and M. Arcak, "Robust global stabilization with input unmodeled dynamics: An ISS small-gain approach," in
*Proc. 39th IEEE Conf. on Decision and Control (CDC 2000)*, Vol. 2, 2000, pp. 1301-1306. - O. M. Aamo, M. Arcak, T. I. Fossen, and P. V. Kokotovic, "Global output tracking control of a class of Euler-Lagrange systems," in
*Proc. 39th IEEE Conf. on Decision and Control (CDC 2000)*, Vol. 3, 2000, pp. 2478-2483. - A. Pascoal, M. Arcak, and P. Encarnacao, "Path following control of marine vehicles," in
*Proc. 4th Portuguese Intl. Conf. on Automatic Control (CONTROLO 2000)*, 2000. - M. Arcak, A. Teel, and P. Kokotovic, "Robust nested saturation redesign for systems with input unmodeled dynamics," in
*Proc. 2000 American Control Conf. (ACC '00)*, Vol. 1, 2000, pp. 150-154. - M. Arcak, M. Seron, J. Braslavsky, and P. Kokotovic, "Robustification of backstepping against input unmodeled dynamics," in
*Proc. 38th IEEE Conf. on Decision and Control (CDC 1999)*, Vol. 3, 1999, pp. 2495-2500. - M. Arcak and P. Kokotovic, "Nonlinear observers: A circle criterion design," in
*Proc. 38th IEEE Conf. on Decision and Control (CDC 1999)*, Vol. 5, 1999, pp. 4872-4876. - P. V. Kokotovic and M. Arcak, "Constructive nonlinear control: Progress in the 90's (Plenary Talk)," in
*Proc. 14th IFAC World Congress (IFAC 1999)*, H. F. Chen, D. Z. Cheng, and J. F. Zhang, Eds., IFAC Proceedings, Vol. 1, 1999, pp. 49-77. - M. Arcak and P. Kokotovic, "Further results on robust control of nonlinear systems with input unmodeled dynamics," in
*Proc. 1999 American Control Conf. (ACC '99)*, Vol. 6, 1999, pp. 4061-4065. - M. Arcak and P. V. Kokotovic, "Stability margins of cheap controls," in
*Proc. 37th IEEE Conf. on Decison and Control (CDC 1998)*, Vol. 2, 1998, pp. 1973-1978. - R. Sepulchre and M. Arcak, "Global stabilization of nonlinear cascade systems: Limitations imposed by right half plane zeros," in
*Nonlinear Control Systems Design 1998: Proc. 4th IFAC Symp. (NOLCOS 1998)*, H. J. C. Huijberts, H. Nijmeijer, A. J. van der Schaft, and J. M. A. Scherpen, Eds., IFAC Proceedings, 1998, pp. 624-629.

## Technical Reports

- A. S. Rufino Ferreira, J. Hsia, and M. Arcak, "A Compartmental Lateral Inhibition System to Generate Contrasting Patterns," EECS Department, University of California, Berkeley, Tech. Rep. UCB/EECS-2015-173, July 2015. [abstract]

## Ph.D. Theses

- M. Arcak, "Unmodeled Dynamics in Robust Nonlinear Control," University of California at Santa Barbara, Department of Electrical and Computer Engineering, Aug. 2000.