期刊
IEEE-CAA JOURNAL OF AUTOMATICA SINICA
卷 6, 期 1, 页码 167-176出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JAS.2017.7510718
关键词
Discretized co-positive Lyapunov functions; mode-dependent dwell time; robust stability; switched positive linear systems (SPLSs); unstable subsystem
资金
- National Natural Science Foundation of China [61703288, 61603079, 61873174]
This paper is concerned with the stability and robust stability of switched positive linear systems (SPLSs) whose subsystems are all unstable. By means of the mode-dependent dwell time approach and a class of discretized co-positive Lyapunov functions, some stability conditions of switched positive linear systems with all modes unstable are derived in both the continuous-time and the discrete-time cases, respectively. The co-positive Lyapunov functions constructed in this paper are time-varying during the dwell time and time-invariant afterwards. In addition, the above approach is extended to the switched interval positive systems. A numerical example is proposed to illustrate our approach.
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