DocumentCode
1164823
Title
Lyapunov stability theory of nonsmooth systems
Author
Shevitz, Daniel ; Paden, Brad
Author_Institution
Dept. of Mech. Eng., California Univ., Santa Barbara, CA, USA
Volume
39
Issue
9
fYear
1994
fDate
9/1/1994 12:00:00 AM
Firstpage
1910
Lastpage
1914
Abstract
This paper develops nonsmooth Lyapunov stability theory and LaSalle´s invariance principle for a class of nonsmooth Lipschitz continuous Lyapunov functions and absolutely continuous state trajectories. Computable tests based on Filipov´s differential inclusion and Clarke´s generalized gradient are derived. The primary use of these results is in analyzing the stability of equilibria of differential equations with discontinuous right-hand side such as in nonsmooth dynamic systems or variable structure control
Keywords
Lyapunov methods; differential equations; stability; Lyapunov stability theory; absolutely continuous state trajectories; differential equations; equilibria; invariance principle; nonsmooth Lipschitz continuous Lyapunov functions; nonsmooth systems; Area measurement; Books; Control systems; Differential equations; Friction; Lyapunov method; Stability analysis; Testing; Time measurement; Variable structure systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.317122
Filename
317122
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