袁学海

个人信息Personal Information

教授

博士生导师

硕士生导师

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:数学科学学院

电子邮箱:yuanxh@dlut.edu.cn

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Stability of switched positive descriptor systems with average dwell time switching

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论文类型:期刊论文

发表时间:2015-04-02

发表刊物:Journal of Shanghai Jiaotong University (Science)

收录刊物:EI、Scopus

卷号:20

期号:2

页面范围:177-184

ISSN号:10071172

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 continuous-time 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. © 2015, Shanghai Jiaotong University and Springer-Verlag Berlin Heidelberg.