On the existence of Zeno behavior in hybrid systems with non-isolated zeno equilibria

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2008, Pages 2776-2781

  Lamperski, Andrew ^a   Ames, Aaron D ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b Department of Electrical and Computer Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL ENGINEERING;

CERTIFICATE-BASED; LAGRANGIAN; SPECIAL CLASS; ZENO BEHAVIOR;

HYBRID SYSTEMS;

EID: 62949120780     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4739100     Document Type: Conference Paper

References (17)

1. B. Brogliato, Nonsmooth Mechanics. Springer-Verlag, 1999.
2. A. D. Ames, H. Zheng, R. D. Gregg, and S. Sastry, "Is there life after Zeno? Taking executions past the breaking (Zeno) point," in 25th American Control Conference, Minneapolis, MN, 2006.
3. A. Lamperski and A. D. Ames, "Lyapunov-like conditions for the existence of Zeno behavior in hybrid and Lagrangian hybrid systems," in IEEE Conference on Decision and Control, 2007.
4. A. D. Ames, P. Tabuada, and S. Sastry, "On the stability of Zeno equilibria," in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science, J. Hespanha and A. Tiwari, Eds., vol. 3927. Springer-Verlag, 2006, pp. 34-48.
5. A. D. Ames, A. Abate, and S. Sastry, "Sufficient conditions for the existence of Zeno behavior in nonlinear hybrid systems via constant approximations," in IEEE Conference on Decision and Control, 2007.
6. A. D. Ames and S. Sastry, "Characterization of Zeno behavior in hybrid systems using homological methods," in 24th American Control Conference, 2005.
7. -, "A homology theory for hybrid systems: Hybrid homology," in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science, M. Morari and L. Thiele, Eds., vol. 3414. Springer-Verlag, 2005, pp. 86-102.
8. J. Zhang, K. H. Johansson, J. Lygeros, and S. Sastry, "Zeno hybrid systems," Int. J. Robust and Nonlinear Control, vol. 11, no. 2, pp. 435-451, 2001.
9. M. K. Camlibel and J. M. Schumacher, "On the Zeno behavior of linear complementarity systems," in 40th IEEE Conference on Decision and Control, 2001.
10. J. Shen and J.-S. Pang, "Linear complementarity systems: Zeno states," SIAM Journal on Control and Optimization, vol. 44, no. 3, pp. 1040-1066, 2005.
11. A. D. Ames, A. Abate, and S. Sastry, "Sufficient conditions for the existence of Zeno behavior," ser. 44th IEEE Conference on Decision and Control and European Control Conference ECC, 2005.
12. M. Heymann, F. Lin, G. Meyer, and S. Resmerita, "Analysis of Zeno behaviors in a class of hybrid systems," IEEE Transactions on Automatic Control, vol. 50, no. 3, pp. 376-384, 2005.
13. A. D. Ames, "A categorical theory of hybrid systems," Ph.D. dissertation, University of California, Berkeley, 2006.
14. A. D. Ames and S. Sastry, "Routhian reduction of hybrid Lagrangians and Lagrangian hybrid systems," in American Control Conference, 2006.
15. S. Simic, K. H. Johansson, S. Sastry, and J. Lygeros, "Towards a geometric theory of hybrid systems," in HSCC, ser. LNCS, B. Krogh and N. Lynch, Eds., vol. 1790. Springer Verlag, 2000, pp. 421-436.
16. J. Lygeros, K. H. Johansson, S. Simic, J. Zhang, and S. Sastry, "Dynamical properties of hybrid automata," IEEE Transactions on Automatic Control, vol. 48, pp. 2-17, 2003.
17. A. D. Ames, A. Abate, and S. Sastry, "Sufficient conditions for the existence of Zeno behavior," in 44th IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, 2005.