Stability of Switched Positive Descriptor Systems with Average Dwell Time Switching

doi:10.1007/s12204-015-1607-x

Abstract

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. Finally, three numerical examples are given to illustrate the effectiveness of the obtained theoretical results.

Key words: average dwell time (ADT)| switched positive descriptor systems (SPDSs)| linear programming (LP)|stability

摘要： 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.

关键词: average dwell time (ADT)| switched positive descriptor systems (SPDSs)| linear programming (LP)|stability

CLC Number:

P 13

XIA Biao (夏彪), LIAN Jie* (连捷), YUAN Xue-hai (袁学海). Stability of Switched Positive Descriptor Systems with Average Dwell Time Switching[J]. Journal of shanghai Jiaotong University (Science), 2015, 20(2): 177-184.

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