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

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...

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Bibliographic Details
Main Authors: You Xu, Shuqian Zhu, Shuping Ma, Qing-Long Han
Format: Conference Proceeding
Language:English
Subjects:
Delays
Descriptor systems
Finite-time stability
Numerical stability
Stability analysis
State feedback
Switched systems
Switches
Time-varying delay
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Summary: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.
ISSN:2161-2927
DOI:10.1109/ChiCC.2014.6895973