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Semi-global practical stability of periodic time-varying systems via averaging: a lyapunov approach

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Title Semi-global practical stability of periodic time-varying systems via averaging: a lyapunov approach
 
Creator BHAT, SP
COWLAGI, RAGHVENDRA
 
Subject nonlinear control system
periodic control
stability
time varying systems
 
Description This paper considers semi-global practical stability of a general time-varying, parameter dependent nonlinear system. A Lyapunov result for uniform semi-global practical stability of such a system is given. This sufficient condition is applied to a periodically time-varying system in the standard averaging form to obtain a sufficient condition on the averaged system for the time-varying system to be uniformly semi-globally practically stable. The sufficient condition requires the existence of a Lyapunov function that guarantees the semi-global practical stability of the averaged system, and is thus weaker than previous averaging based stability results which require the equilibrium of the averaged system to be exponentially or asymptotically stable. The proof is based on Lyapunov techniques, and does not depend on classical averaging results.
 
Publisher IEEE
 
Date 2009-03-18T09:10:32Z
2011-11-28T07:41:34Z
2011-12-15T09:57:07Z
2009-03-18T09:10:32Z
2011-11-28T07:41:34Z
2011-12-15T09:57:07Z
2006
 
Type Article
 
Identifier Proceedings of the 45th IEEE Conference on Decision & Control, San Diego, USA, 13-15 December 2006, 361-365
1-4244-0171-2
10.1109/CDC.2006.377811
http://hdl.handle.net/10054/966
http://dspace.library.iitb.ac.in/xmlui/handle/10054/966
 
Language en