DocumentCode
337064
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
Volume
2
fYear
1998
fDate
16-18 Dec 1998
Firstpage
1635
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location
Tampa, FL
ISSN
0191-2216
Print_ISBN
0-7803-4394-8
Type
conf
DOI
10.1109/CDC.1998.758527
Filename
758527
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