Characterization of zeno behavior in hybrid systems using homological methods

Proceedings of the American Control Conference

Volumn 2, Issue , 2005, Pages 1160-1165

  Ames, Aaron D ^a   Sastry, Shankar ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HOMOLOGY; HYBRID SYSTEMS; TOPOLOGICAL SPACES; ZENO BEHAVIOR;

CONTROL SYSTEM ANALYSIS; GRAPH THEORY; MAPS;

TOPOLOGY;

EID: 23944473205     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (7)

1. A. D. Ames and S. Sastry, "A homology theory for hybrid systems: Hybrid homology," in HSCC, ser. LNCS, M. Morari and L. Thiele, Eds., vol. 3414. Springer-Verlag, 2005, pp. 86-102.
2. S. Simić, 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.
3. 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.
4. C. A. Weibel, An Introduction to Homological Algebra. Cambridge University Press, 1994.
5. G. Kirchhoff, "Über die auflösung der gleichungen, auf welche man bei der untersuchung der linearen verteilung galvanischer ströme gefiirt wird," Ann. Phys. Chem, vol. 72, pp. 497-508, 1847.
6. B. Andrásfai, Graph Theory: Flows, Matricies. Akadémiai Kiadó, 1991.
7. N. Biggs, Algebraic Graph Theory, 2nd ed. Cambridge Mathematical Library, 1993.