Geometric approach to bisimulation and verification of hybrid systems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1569, Issue , 1999, Pages 61-75

  Broucke, Mireille ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY;

APPROXIMATE VERIFICATION; BISIMULATIONS; EXTERIOR DIFFERENTIAL SYSTEMS; GEOMETRIC APPROACHES; PARALLEL COMPOSITION; SYMBOLIC EXECUTION; VECTOR FIELDS; VERIFICATION OF HYBRID SYSTEMS;

HYBRID SYSTEMS;

EID: 84949434999     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-48983-5_9     Document Type: Conference Paper

References (12)

1. R. Alur and D. L. Dill. Automata for modeling real-time systems. In "Proc. 17th ICALP: Automata, Languages and Programming, LNCS 443, Springer-Verlag, 1990.
2. P. Caines and Y. Wei. The hierarchical lattices of a finite machine. Systems and Control Letters, vol. 25, no. 4, pp. 257-263, July, 1995.
3. P. Caines and Y. Wei. On dynamically consistent hybrid systems. In P. Antsaklis, W. Kohn, A. Nerode, eds., Hybrid Systems II, pp. 86-105, Springer-Verlag, 1995.
4. L.O. Chua, M. Komuro, and T. Matsumoto. The double scroll family-part I: rigorous proof of chaos. IEEE Transactions on Circuits and systems vol. 33, no. 11, pp. 1072-1097, November, 1986.
5. T. Henzinger. Hybrid automata with finite bisimulations. In "Proc. 22nd ICALP: Automata, Languages and Programming, LNCS 944, pp. 324-335, Springer-Verlag, 1995.
6. T. Henzinger. The theory of hybrid automata. In Proc. 11th IEEE Symposium on Logic in Computer Science, pp. 278-292, New Brunswick, NJ, 1996.
7. H. B. Lawson. The Quantitative theory of foliations. Regional Conference Series in Mathematics, no. 27. American Mathematical Society, Providence, 1977.
8. R. Murray and S. Sastry. Nonholonomic motion planning: steering using sinusoids. IEEE Transactions on Automatic Control, vol.38, no.5, pp. 700-16, May, 1993.
9. J. Palis and W. de Melo. Geometric Theory of Dynamical Systems: an Introduction. Springer-Verlag, New York, 1982.
10. W. Sluis. Absolute Equivalence and its Applications to Control Theory. Ph.D. thesis, University of Waterloo, 1992.
11. C. Tomlin, G. Pappas, J. Lygeros, D. Godbole, and S. Sastry. Hybrid Control Models of Next Generation Air Traffic Management. In P. Antsaklis, W. Kohn, A. Nerode, and S. Sastry, eds., Hybrid Systems IV, LNCS 1273, pp. 378-404, Springer-Verlag, 1997.
12. F. Warner. Foundations of Differential Manifolds and Lie Groups. Springer-Verlag, New York, 1983.