期刊
AUTOMATICA
卷 91, 期 -, 页码 294-300出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2018.01.032
关键词
Switched systems; Positive systems; Exponential stability
资金
- Ministry of Education of Singapore under Tier 1 Grant [RG78/15]
- National Natural Science Foundation of China [SFC 61720106011, 11301114]
In this paper we investigate the stability of discrete-time positive switched linear systems. The highlight of this work is that each subsystem is only assumed to be stable or marginally stable. Some sufficient conditions, imposed on the subsystem matrices and switching signals, are established to guarantee exponential stability of the considered positive switched linear systems. An extension to the case of time-varying and unbounded delay is also given. Compared with the continuous-time counterparts in the literature, our discrete-time case is much more complicated, involving the transitive connectivity between the subsystems specified by the switching signals. (C) 2018 Elsevier Ltd. All rights reserved.
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