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论文类型： 期刊论文

发表时间： 2017-03-12

发表刊物： INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE

收录刊物： SCIE、EI

卷号： 48

期号： 4

页面范围： 873-884

ISSN号： 0020-7721

关键字： Switched positive systems; stability; parameter-dependent switched linear copositive Lyapunov functions; linear programming

摘要： This paper addresses two kinds of dual approaches to stability and stabilisation of uncertain switched positive systems under arbitrary switching and average dwell-time switching, respectively. The uncertainties in systems refer to polytopic ones. A new parameter-dependent switched linear copositive Lyapunov function is first proposed for uncertain switched positive systems. By using the new Lyapunov function associated with arbitrary switching and average dwell-time switching, respectively, sufficient conditions for the stability of the systems are established. Two alternative stability criteria based on two kinds of dual approaches are addressed. It is shown that the alternative criteria hold for not only the primal switched positive system but also its dual system. Then, the stabilisation of primal and dual switched positive systems under arbitrary switching and average dwell-time switching is solved, respectively. All present conditions are solvable in terms of linear programming. By some comparisons with existing results, the less conservativeness of the obtained results is verified. Finally, a practical example is provided to illustrate the effectiveness of the theoretical findings.