Stability of Switched Positive Descriptor Systems with Average Dwell Time Switching

In this paper, the problems of stability for a class of switched positive descriptor systems（SPDSs）with average dwell time（ADT） switching are investigated. First, based on the equivalent switched system and the properties of the projector matrix, sufficient stabilities are given for the underlying s...

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Veröffentlicht in:	Shanghai jiao tong da xue xue bao 2015-04, Vol.20 (2), p.177-184
1. Verfasser:	夏彪连捷袁学海
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Sprache:	eng
Schlagworte:	Architecture Computer Science Dwell time Electrical Engineering Engineering Equivalence Life Sciences Linear programming Lyapunov functions Materials Science Mathematical models Projectors Stability Switching
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description	In this paper, the problems of stability for a class of switched positive descriptor systems（SPDSs）with average dwell time（ADT） switching are investigated. First, based on the equivalent switched system and the properties of the projector matrix, sufficient stabilities are given for the underlying systems in both continuoustime and discrete-time contexts. Then, a sufficient stability condition for the SPDS with both stable and unstable subsystems is obtained. The stability results for the SPDSs are represented in terms of a set of linear programmings（LPs） by the multiple linear co-positive Lyapunov function（MLCLF） approach. Finally, three numerical examples are given to illustrate the effectiveness of the obtained theoretical results.
doi_str_mv	10.1007/s12204-015-1607-x
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Shanghai Jiaotong Univ. (Sci.)</stitle><addtitle>Journal of Shanghai Jiaotong university</addtitle><date>2015-04-01</date><risdate>2015</risdate><volume>20</volume><issue>2</issue><spage>177</spage><epage>184</epage><pages>177-184</pages><issn>1007-1172</issn><eissn>1995-8188</eissn><abstract>In this paper, the problems of stability for a class of switched positive descriptor systems（SPDSs）with average dwell time（ADT） switching are investigated. First, based on the equivalent switched system and the properties of the projector matrix, sufficient stabilities are given for the underlying systems in both continuoustime and discrete-time contexts. Then, a sufficient stability condition for the SPDS with both stable and unstable subsystems is obtained. The stability results for the SPDSs are represented in terms of a set of linear programmings（LPs） by the multiple linear co-positive Lyapunov function（MLCLF） approach. 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subjects	Architecture Computer Science Dwell time Electrical Engineering Engineering Equivalence Life Sciences Linear programming Lyapunov functions Materials Science Mathematical models Projectors Stability Switching
title	Stability of Switched Positive Descriptor Systems with Average Dwell Time Switching
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