Stabilization of discrete-time positive switched linear systems: A nonzero elements chain method |
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| Authors: | Hao Zhang Lei Shi Shaojie Yao Shuaiming Yan Yi Zhou |
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| Affiliation: | 1. School of Artificial Intelligence, Henan University, Zhengzhou, China;2. School of Artificial Intelligence, Henan University, Zhengzhou, China Collaborative control team, International Joint Research Laboratory for Cooperative Vehicular Networks of Henan, Zhengzhou, China |
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| Abstract: | This article studies the stability problem of discrete-time positive switched linear systems by introducing a nonzero elements chain method. Compared to existing works, the highlight of this article is reflected in the inclusiveness of the subsystem, that is, each subsystem is allowed to be stable, marginally stable or even unstable. Some sufficient conditions depending on the characteristics of system matrices and the time-dependent switching signals are established, so as to guarantee the exponential stability of positive switched linear systems. In addition, the main result is extended to the case of time-varying delay. At last, the superiority of the obtained results is well verified by numerical examples. |
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| Keywords: | exponential stability positive systems switched linear systems |
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