1. Dynamical properties of hybrid automata
- Author
-
Lygeros, John, Johansson, Karl Henrik, Simic, Slobodan N., Zhang, Jun, and Sastry, S. Shankar
- Subjects
Dynamical systems -- Analysis ,Liapunov functions -- Analysis ,Computational complexity -- Models ,Computational complexity -- Analysis - Abstract
Hybrid automata provide a language for modeling and analyzing digital and analogue computations in real-time systems. Hybrid automata are studied here from a dynamical systems perspective. Necessary and sufficient conditions for existence and uniqueness of solutions are derived and a class of hybrid automata whose solutions depend continuously on the initial state is characterized. The results on existence, uniqueness, and continuity serve as a starting point for stability analysis. Lyapunov's theorem on stability via linearization and LaSalle's invariance principle are generalized to hybrid automata. Index Terms--Continuity of solutions, dynamical systems; existence, LaSalle's principle, Lyapunov's indirect method, hybrid systems, uniqueness.
- Published
- 2003