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Finite-time stability of continuous autonomous systems

DSpace at IIT Bombay

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Field Value
 
Title Finite-time stability of continuous autonomous systems
 
Creator BHAT, SP
BERNSTEIN, DS
 
Subject stabilization
stability
finite-time stability
non-lipschitzian dynamics
 
Description Finite-time stability is defined for equilibria of continuous but non-Lipschitzian autonomous systems. Continuity, Lipschitz continuity, and Holder continuity of the settling-time function are studied and illustrated with several examples. Lyapunov and converse Lyapunov results involving scalar differential inequalities are given for finite-time stability. It is shown that the regularity properties of the Lyapunov function and those of the settling-time function are related. Consequently, converse Lyapunov results can only assure the existence of continuous Lyapunov functions. Finally, the sensitivity of finite-time-stable systems to perturbations is investigated.
 
Publisher SIAM PUBLICATIONS
 
Date 2011-08-29T05:03:53Z
2011-12-26T12:58:25Z
2011-12-27T05:48:18Z
2011-08-29T05:03:53Z
2011-12-26T12:58:25Z
2011-12-27T05:48:18Z
2000
 
Type Article
 
Identifier SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 38(3), 751-766
0363-0129
http://dx.doi.org/10.1137/S0363012997321358
http://dspace.library.iitb.ac.in/xmlui/handle/10054/11968
http://hdl.handle.net/10054/11968
 
Language en