Generalized Nyquist consensus condition for high-order linear multi-agent systems with communication delays

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 4765-4771

  Münz, Ulrich ^a   Papachristodoulou, Antonis ^b   Allgöwer, Frank ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Communication delays; Convergence rate; Generalized Nyquist criterion; Multi agent systems

Indexed keywords

CONTROL ENGINEERING;

COMMUNICATION DELAYS; CONVERGENCE RATES; GENERALIZED NYQUIST CRITERIONS; HETEROGENEOUS COMMUNICATION; HIGH-ORDER; INEQUALITY CONDITIONS; NYQUIST; SET-VALUED;

MULTI AGENT SYSTEMS;

EID: 77950795822     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5399906     Document Type: Conference Paper

References (25)

1. C. A. Desoer and Y.-T. Wang, "On the generalized Nyquist stability criterion," IEEE Trans. Autom. Control, vol.25, no.2, pp. 187-196, 1980.
2. O. Toker and H. Özbay, "Complexity issues in robust stability of linear differential systems," Mathematics of Control, Signals, and Systems, vol.9, no.4, pp. 386-400, 1996.
3. R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proc. IEEE, vol.95, no.1, pp. 215-233, 2007.
4. W. Ren and R. W. Beard, Distributed Consensus in Multi-Vehicle Cooperative Control. London, UK: Springer, 2008.
5. P.-A. Bliman and G. Ferrari-Trecate, "Average consensus problems in networks of agents with delayed communications," Automatica, vol.44, no.8, pp. 1985-1995, 2008.
6. A. Papachristodoulou and A. Jadbabaie, "Synchronization in oscillator networks: Switching topologies and non-homogeneous delays," in Proc. IEEE Conf. Decision Contr. and Europ. Contr. Conf., Seville, Spain, 2005, pp. 5692-5697.
7. R. Olfati-Saber and R. M. Murray, "Consensus problem in networks of agents with switching topology and time-delays," IEEE Trans. Autom. Control, vol.49, no.9, pp. 1520-1533, 2004.
8. R. Ghabcheloo, A. P. Aguiar, A. Pascoal, and C. Silvestre, "Synchronization in multi-agent systems with switching topologies and nonhomogeneous communication delays," in Proc. IEEE Conf. Decision Contr., New Orleans, USA, 2007, pp. 2327-2332.
9. L. Moreau, "Stability of continuous-time distributed consensus algorithms," in Proc. IEEE Conf. Decision Contr., Atlantis, USA, 2004, pp. 3998-4003.
10. D. Lee and M. W. Spong, "Agreement with non-uniform information delays," in Proc. Amer. Contr. Conf., Minneapolis, USA, 2006, pp. 756-761.
11. U. Münz, A. Papachristodoulou, and F. Allgöwer, "Output consensus controller design for nonlinear relative degree one multi-agent systems with delays," in Proc. IFAC Workshop on Time-Delay Systems, Sinaia, Rumania, 2009.
12. -, "Consensus reaching in multi-agent packet-switched networks," Int. J. Control, vol.82, no.5, pp. 953-969, 2009.
13. A. Papachristodoulou and A. Jadbabaie, "Synchronization of oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamics," in Proc. IEEE Conf. Decision Contr., San Diego, USA, 2006, pp. 4307-4312.
14. N. Chopra and M. Spong, "Passivity-based control of multi-agent systems," in Advances in Robot Control, S. Kaxamura and M. Svinin, Eds. Berlin, Germany: Springer, 2006, pp. 107-134.
15. U. Münz, A. Papachristodoulou, and F. Allgöwer, "Delay-dependent rendezvous and flocking of large scale multi-agent systems with communication delays," in Proc. IEEE Conf. Decision Contr., Cancun, Mexico, 2008, pp. 2038-2043.
16. I. C. Lestas and G. Vinnicombe, "Scalable robust stability for nonsymmetric heterogeneous networks," Automatica, vol.43, no.4, pp. 714-723, 2007.
17. -, "The S-hull approach to consensus," in Proc. IEEE Conf. Decision Contr., New Orleans, USA, 2007, pp. 182-187.
18. -, "Scalable decentralized robust stability certificates for networks of interconnected heterogeneous dynamical systems," IEEE Trans. Autom. Control, vol.51, no.10, pp. 1613-1625, 2006.
19. C.-Y. Kao, U. Jönsson, and H. Fujioka, "Characterization of robust stability of a class of interconnected systems," Automatica, vol.45, no.1, pp. 217-224, 2009.
20. U. T. Jönsson and C.-Y. Kao, "A scalable robust stability criterion for systems with heterogeneous LTI components," in Proc. Amer. Contr. Conf., St. Louis, USA, 2009, pp. 2898-2903.
21. C. Godsil and G. Royle, Algebraic Graph Theory. New York: Springer, 2000.
22. P. Wieland, J.-S. Kim, H. Scheu, and F. Allgöwer, "On consensus in multi-agent systems with linear high-order agents," in Proc. IFAC World Congress, Seoul, South Korea, 2008, pp. 1541-1546.
23. R. Olfati-Saber, "Ultrafast consensus in small-world networks," in Proc. Amer. Contr. Conf., Portland, USA, 2005, pp. 2371-2378.
24. K. Gu, V. L. Kharitonov, and J. Chen, Stability of Time-Delay Systems. Boston: Birkhäuser, 2003.
25. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, 1st ed. New York: Cambridge University Press, 1991.