NDLI: Finite-time stability and stabilization for a class of nonlinear discrete-time descriptor switched systems with time-varying delay

Content Provider	IEEE Xplore Digital Library
Author	You Xu Shuqian Zhu Shuping Ma Qing-Long Han
Copyright Year	2014
Description	Author affiliation: Centre for Intell. & Networked Syst., Central Queensland Univ., Rockhampton, QLD, Australia (Qing-Long Han) \|\| Sch. of Math., Shandong Univ., Jinan, China (You Xu; Shuqian Zhu; Shuping Ma)
Abstract	This paper is concerned with the finite-time stability analysis and state feedback stabilization controller design for a class of nonlinear discrete-time descriptor switched systems with time-varying delay. First, by using the implicit function theorem and constructing a switched Lyapunov functional, sufficient conditions are developed which guarantee that the nonlinear discrete-time descriptor switched system with time-varying delay is regular, causal, has a unique solution in a neighborhood of the equilibrium point, and is uniformly finite-time stable. Then a delay-dependent condition on the existence of a finite-time state feedback controller is proposed. Finally, two numerical examples are given to show the effectiveness of the proposed methods.
Starting Page	6025
Ending Page	6030
File Size	152850
Page Count	6
File Format	PDF
ISBN	9789881563873
ISSN	19341768
DOI	10.1109/ChiCC.2014.6895973
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-07-28
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	TCCT, CAA
Subject Keyword	Switched systems State feedback Finite-time stability Time-varying delay Switches Stability analysis Descriptor systems Delays Numerical stability
Content Type	Text
Resource Type	Article

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