Title :
A comparison theory for stability analysis of discontinuous dynamical systems. I. Results involving stability preserving mappings
Author :
Michel, Anthony N. ; Hu, Bo
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
Abstract :
In the present paper, we develop a general comparison theory for Lyapunov and Lagrange stability analysis of discontinuous dynamical systems, making use of stability preserving mappings. To demonstrate the applicability of our results, we consider specific classes of nonlinear discontinuous dynamical systems. Further, in a companion paper we specialize the present results by employing vector Lyaponov functions
Keywords :
Lyapunov methods; control system analysis; nonlinear dynamical systems; stability; Lagrange stability analysis; Lyapunov stability analysis; nonlinear discontinuous dynamical systems; stability preserving mappings; vector Lyaponov functions; Asymptotic stability; Continuous time systems; Convergence; Extraterrestrial measurements; Lagrangian functions; Lyapunov method; Mathematics; Nonlinear systems; Real time systems; Stability analysis;
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.1998.758527
