Output synchronization on strongly connected graphs

IEEE Transactions on Automatic Control

Volumn 57, Issue 11, 2012, Pages 2896-2901

  Chopra, Nikhil ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Multiagent systems; output synchronization; time delay

Indexed keywords

COMMUNICATION DELAYS; CONSTANT TIME DELAYS; CONTROL LAWS; FEEDBACK EQUIVALENCE; INPUT-OUTPUT; INTER-AGENT COMMUNICATIONS; MINIMUM-PHASE SYSTEMS; NUMERICAL EXAMPLE; OUTPUT SYNCHRONIZATION; PASSIVE SYSTEMS; POSITIVE DEFINITE; RELATIVE DEGREES; STORAGE FUNCTION; STRONGLY CONNECTED; TECHNICAL NOTES;

COMMUNICATION; FADING CHANNELS; GRAPH THEORY; MULTI AGENT SYSTEMS; TIME DELAY;

SYNCHRONIZATION;

EID: 84869432539     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2012.2193704     Document Type: Article

References (30)

1. C. I. Byrnes and A. Isidori, "Asymptotic stabilization of minimum phase nonlinear systems," IEEE Trans. Autom. Control, vol. 36, no. 10, pp. 1122-1137, Oct. 1991. (Pubitemid 21717646)
2. C. I. Byrnes, A. Isidori, and J. C. Willems, "Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems," IEEE Trans. Autom. Control, vol. 36, no. 11, pp. 1228-1240, Nov. 1991.
3. N. Chopra and M. W. Spong, "Output synchronization of nonlinear systems with time delay in communication," in Proc. IEEE Conf. Decision and Control, 2006, pp. 4986-4992. (Pubitemid 351284324)
4. N. Chopra and M. W. Spong, "Passivity-based control of multi-agent systems," in Advances in Robot Control: From Everyday Physics to Human-Like Movements, S. Kawamura and M. Svinin, Eds. New York: Springer-Verlag, 2006, pp. 107-134.
5. N. Chopra and M. W. Spong, "Output synchronization of nonlinear systems with relative degree one," in Recent Advances in Learning and Control, H. K. Vincent, D. Blondel, and S. P. Boyd, Eds. New York: Springer-Verlag, 2008, pp. 51-64.
6. N. Chopra and M. W. Spong, "Output synchronization on strongly connected graphs," in Proc. 18th Int. Symp. Mathematical Theory of Networks and Systems, Blacksburg, VA, 2008.
7. S.-J. Chung and J.-J. E. Slotine, "Cooperative robot control and concurrent synchronization of Lagrangian systems," IEEE Trans. Robotics, vol. 25, no. 3, pp. 686-700, Jun. 2009.
8. A. Das and F. L. Lewis, "Distributed adaptive control for synchronization of unknown nonlinear networked systems," Automatica, vol. 46, no. 12, pp. 2014-2021, 2010.
9. C. Godsil and G. Royle, "Algebraic graph theory," in Springer Graduate Texts in Mathematics No. 207. New York: Springer, 2001.
10. J. K. Hale and S. M. Verduyn, "Introduction to functional differential equations," in Applied Mathematical Sciences. New York: Springer-Verlag, 1993.
11. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1985.
12. Y. Igarashi, T.Hatanaka,M. Fujita, andM.W. Spong, "Passivity-based attitude synchronization in SE(3)," IEEE Trans. Control Syst. Technol., vol. 17, no. 5, pp. 1119-1134, Sep. 2009.
13. A. Isidori, Nonlinear Control Systems. Berlin, Germany: Springer-Verlag, 1995.
14. H. K. Khalil, Nonlinear systems. Upper Saddle River, NJ: Prentice-Hall, 2002.
15. J.-G. Lu and D. J. Hill, "Global asymptotical synchronization of chaotic lur'e systems using sampled data: A linear matrix inequality approach," IEEE Trans. Circuits Syst. II: Expr. Briefs, vol. 55, no. 6, pp. 586-590, Jun. 2008.
16. U. Münz, "Delay Robustness in Cooperative Control," Ph.D. dissertation, Inst. Systems Theory and Autom. Control, Univ. Stuttgart, Stuttgart, Germany, 2010.
17. A. Papachristodoulou, A. Jadbabaie, and U. Münz, "Effects of delay in multi-agent consensus and oscillator synchronization," EEE Trans. Autom. Control, vol. 55, no. 6, pp. 1471-1477, Jun. 2010.
18. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge, U.K.: Cambridge Univ. Press, 2003.
19. A. Y. Pogromsky, "Passivity based design of synchronizing systems," Int. J. Bifurc. and Chaos, vol. 8, pp. 295-319, 1998. (Pubitemid 128335996)
20. A. Y. Pogromsky and H. Nijmeijer, "Cooperative oscillatory behavior of mutually coupled dynamical systems," IEEE Trans. Circuits Syst. I, vol. 48, no. 1, pp. 152-162, Jan. 2001. (Pubitemid 32254606)
21. K. Pyragas, "Continuous control of chaos by self-controlling feedback," Phys. Lett. A, vol. 170, no. 6, pp. 421-428, 1992.
22. L. Scardovi, M. Arcak, and E. D. Sontag, "Synchronization of interconnected systems with applications to biochemical networks: An input-output approach," IEEE Trans. Autom. Control, vol. 55, no. 6, pp. 1367-1379, Jun. 2010.
23. L. Scardovi and R. Sepulchre, "Synchronization in networks of identical linear systems," Automatica, vol. 45, no. 11, pp. 2557-2562, 2009.
24. J.-J/E. Slotine and W. Wang, "A study of synchronization and group cooperation using partial contraction theory," in Cooperative Control, Lecture Notes in Control and Information Sciences, V. Kumar, N. E. Leonard, and A. S. Morse, Eds. Berlin, Germany: Springer-Verlag, 2005, vol. 309, pp. 207-228. (Pubitemid 39436820)
25. G.-B. Stan and R. Sepulchre, "Analysis of interconnected oscillators by dissipativity theory," IEEE Trans. Autom. Control, vol. 52, no. 2, pp. 256-270, Feb. 2007. (Pubitemid 46444280)
26. S. H. Strogatz, SYNC: The Emerging Science of Spontaneous Order. New York: Hyperion Press, 2003.
27. S. E. Tuna, "Synchronizing linear systems via partial-state coupling," Automatica, vol. 44, no. 8, pp. 2179-2184, 2008.
28. S. E. Tuna, "Sufficient conditions on observability grammian for synchronization in arrays of coupled linear time-varying systems," IEEE Trans. Autom. Control, vol. 55, no. 11, pp. 2586-2590, Nov. 2010.
29. R. Vicente, L. L. Gollo, C. R. Mirasso, I. Fischer, and G. Pipa, "Dynamical relaying can yield zero time lag neuronal synchrony despite long conduction delays," Proc. Nat. Acad. Sci., vol. 105, no. 44, pp. 17157-17162, 2008.
30. J. Xiang and G. Chen, "On the v-stability of complex dynamical networks," Automatica, vol. 43, no. 6, pp. 1049-1057, 2007. (Pubitemid 46653803)