Title :
On stability in hybrid systems
Author :
Zhivoglyadov, Peter V. ; Middleton, Richard H.
Author_Institution :
Centre for Integrated Dynamics & Control, Newcastle Univ., NSW, Australia
Abstract :
The main contribution of this paper is a number of structure dependent stability results applicable to a class of hybrid systems modelled by discrete automata. Our main results are formulated as two stability theorems giving necessary and sufficient conditions for global stability of synchronous and asynchronous piecewise linear hybrid systems. These theorems effectively reduce the hybrid systems stability analysis problem to analysis of stability of a certain class of linear time varying systems
Keywords :
automata theory; discrete event systems; linear systems; stability; time-varying systems; discrete automata; discrete event systems; hybrid systems; necessary condition; piecewise linear systems; stability; sufficient condition; time varying systems; Automata; Control systems; Discrete time systems; Nonlinear dynamical systems; Nonlinear systems; Piecewise linear techniques; Stability analysis; State-space methods; Sufficient conditions; Time varying systems;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.761775
