NDLI: On Exponential Stability of Switched Systems with Delay: Lyapunov Function Approach

Content Provider	IEEE Xplore Digital Library
Author	Liu Juan Qian Wei Fei Shumin
Copyright Year	2007
Description	Author affiliation: Henan Polytech. Univ, Jiaozuo (Liu Juan; Qian Wei)
Abstract	The switched dynamical system consisting of two linear subsystems with delay is considered. The problem is to find conditions guaranteeing exponential stability of the system for any switching sequence. Combining with Halanay differential inequality, both quadratic and piecewise quadratic construction of Lyapunov function is exploited, from which the stability criteria in terms of linear matrix inequalities are derived. Furthermore, it is strictly verified that the exponential decay rate holds uniformly for all switching sequence, and is definitely determined by the structure of subsystems. Numerical examples are given to demonstrate the effectiveness of our results.
Starting Page	674
Ending Page	677
File Size	380059
Page Count	4
File Format	PDF
ISBN	9787811240559
DOI	10.1109/CHICC.2006.4346977
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-07-26
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Automation Delay systems Industrial control Delay effects Lyapunov method Linear matrix inequalities Exponential stability Switched systems Stability criteria Hafnium Delay lines Halanay inequality Time delay
Content Type	Text
Resource Type	Article

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On Exponential Stability of Switched Systems with Delay: Lyapunov Function Approach