Solving the rendezvous problem for multi-agent systems using contraction theory

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 5821-5826

  Russo, Giovanni ^a   Di Bernardo, Mario ^a,b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY;

CONTRACTION THEORY; NOVEL STRATEGIES; NUMERICAL VALIDATIONS; RENDEZVOUS PROBLEMS;

MULTI AGENT SYSTEMS;

EID: 77950844333     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5400731     Document Type: Conference Paper

References (30)

1. M. E. J. Newman, The structure and function of complex networks, SIAM Review, vol.45, pp. 167-256, 2003.
2. Complex Networked Systems, special issue of the IEEE Control Systems Magazine, vol.27, August 2007.
3. R. Olfati-Saber, R. M. Murray, Consensus Problems in Networks of Agents With Switching Topology and Time-Delays, IEEE Transactions on Automatic Control, vol.49, pp. 1520-1533, 2004
4. Q. Hui, W. H. Haddad, Distributed nonlinear control algorithms for network consensus, Automatica, vol.44, pp. 2375-2381, 2008
5. J. Cortes, F. Bullo, Coordination and geometric optimization via distributed dynamical systems, SIAM J. Control Optim., vol.44, pp. 1543-1574, 2005
6. S.-J. Chung, J. J. E. Slotine, Nonlinear Model Reduction and Decentralized Control of Tethered Formation Flight, Journal of Guidance, Control and Dynamics, vol.30, pp. 390-400, 2007
7. G. Inalhan, D. M. Stipanovic, C. J. Tomlin, Decentralized optimization, with application to multiple aircraft coordination, Proceedings of the 41st Conf. Decision and Control, pp. 1147-1155, 2002
8. A. Pitsillides, P. Ioannou, G. Hadjipollas, M. Lestas, Adaptive congestion protocol: a congestion control protocol with learning capability, Computer Networks, vol.51, pp. 3773-3798, 2007
9. D. V. Dimarogonas, K. J. Kyriakopoulos, On the rendezvous problem for multiple nonholonomic agents, IEEE Transactions on Automatic Control, vol.52, pp. 916-922, 2007
10. J. Lin, A. S. Morse, B. D. 0. Anderson, The Multi-Agent Rendezvous Problem, Proceedings of the 42nd Conf. Decision and Control, pp. 1508-1513, 2003
11. A. Pavlov, A. Pogromvsky, N. van de Wouv, and H. Nijmeijer, Convergent dynamics, a tribute to Boris Pavlovich Demidovich, Systems and Control Letters, vol.52, pp. 257-261, 2004.
12. D. Angeli, A Lyapunov approach to incremental stability properties, IEEE Transactions on Automatic Control, vol.47, pp. 410-421, 2002.
13. W. Lohmiller and J. J. Slotine, On contraction analysis for non-linear systems, Automatica, vol.34, pp. 683-696, 1998.
14. M. di Bernardo, G. Russo, E. Sontag, Global entrainment of transcriptional systems to periodic inputs, Submitted to PLoS Computational Biology
15. W. Wang J. J. E. Slotine, On partial contraction analysis for coupled nonlinear oscillators, Biological Cybernetics, vol.92, pp. 38-53, 2005.
16. W. Ren, On Consensus Algorithms for Double-Integrator Dynamics, IEEE Transactions on Automatic Control, vol.53, pp. 1503-1509, 2008
17. G. Russo, M. di Bernardo, Contraction theory and Master Stability Function: linking two approaches to study synchronization in complex networks, IEEE Transactions on Circuits And Systems II, vol.56, pp. 177-181, 2009
18. Q. C. Pham, N. Tabareau, J. J. Slotine, A contraction theory approach to stochastic incremental stability, IEEE Transactions on Automatic Control, vol.54, 2009
19. G. Russo M. di Bernardo, How to synchronize biological clocks, Journal of Computational Biology, vol.16, pp. 379-393, 2009.
20. Q. C. Pham J. J. E. Slotine, Stable concurrent synchronization in dynamic system networks, Neural Networks, vol.20, pp. 62-77, 2007.
21. N. E. Leonard, E. Fiorelli, Virtual Leaders, Artificial Potentials and Coordinated Control of Groups, Proceedings of the 40th IEEE Conference on Decision and Control, pp. 2968-2973, 2001
22. H. G. Tanner, A. Jadbabaie, G. J. Pappas, Stable Flocking of Mobile Agents, Part II: dynamic topology, Proceedings of the 42nd IEEE Conference on Decision and Control, vo. 2, pp. 2016-2021, 2003
23. S. Roy, A. Saberi, and K. Herlugson, , S. Phoha, T. LaPorta, and C. Griffin, Eds., Formation and alignment of distributed sensing agents with double-integrator dynamics and actuator saturation, Sensor Network Applications, 2007
24. M. Vidyasagar, Nonlinear Systems Analysis (2nd Ed.), Prentice-Hall, Englewood Cliffs, NJ, 1993
25. A. Granas, Fixed Point Theory, Springer Verlag, New York, NY, 2003
26. P. Hartman, On stability in the large for systems of ordinary differential equations, Canadian Journal oF Mathematics, vol.13, pp. 480-492, 1961
27. D. C. Lewis, Metric properties of differential equations, American Journal of Mathematics, vol.71, pp. 294-312, 1949
28. W. Lohmiller, J.J.E. Slotine, Contraction analysis of non-linear distributed systems, International Journal of Control, vol.78, pp. 678-688, 2005
29. K. El Rifai, J.J.E. Slotine, Compositional contraction analysis of hybrid nonlinear systems, IEEE Transactions on Automatic Control, vol.41, pp. 1536-1541, 2006
30. G. Russo, M. di Bernardo, E.D. Sontag, Global entrainment of transcriptional systems to periodic inputs, Submitted to PLoS Computational Biology