Stability and l1-Gain Analysis for Switched Delay Positive Systems with Stable and Unstable Subsystems

In this paper, we investigate the problems of stability and l 1 -gain performance analysis for discrete-time switched delay positive systems with stable and unstable subsystems. First, using a class of multiple copositive Lyapunov–Krasovskii function approach, sufficient stability conditions are pro...

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Bibliographic Details
Published inCircuits, systems, and signal processing Vol. 34; no. 5; pp. 1683 - 1696
Main Authors Shi, Ruiqin, Tian, Xuemin, Zhao, Xudong, Zheng, Xiaolong
Format Journal Article
LanguageEnglish
Published New York Springer US 2015
Subjects
Circuits and Systems
Electrical Engineering
Electronics and Microelectronics
Engineering
Instrumentation
Short Paper
Signal,Image and Speech Processing
Unstable subsystems
Switched positive linear systems
Gain performance
Average dwell time
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Summary:In this paper, we investigate the problems of stability and l 1 -gain performance analysis for discrete-time switched delay positive systems with stable and unstable subsystems. First, using a class of multiple copositive Lyapunov–Krasovskii function approach, sufficient stability conditions are proposed for the considered system with average dwell time switching. Then, based on the stability results, sufficient conditions that guarantee the system to have l 1 -gain performance are developed. All the proposed conditions can be solved by LMI toolbox. Finally, we take an example to verify the effectiveness of the results.
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-014-9910-6