期刊
NONLINEAR ANALYSIS-HYBRID SYSTEMS
卷 47, 期 -, 页码 -出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2022.101297
关键词
Switched positive systems; Stability; L1-gain performance; State-dependent switching law
This paper addresses the issues of stability and L1-gain performance analysis for switched positive systems on the nonnegative state space using the multiple linear copositive Lyapunov function method. The developed switching strategy relaxes the requirement of connecting adjacent Lyapunov functions at switching points, allowing for the introduction of a gap to prevent chattering behavior. The proposed methodology is extended to handle subsystems with interval type parameter uncertainties. Two examples are provided to demonstrate the validity and feasibility of the proposed methods.
In this paper, the issues of stability and L1-gain performance analysis, by means of the multiple linear copositive Lyapunov function method, for switched positive systems defined on the nonnegative state space, are addressed. A vital feature of the developed switching strategy lies in relaxing the restriction that connecting adjacent Lyapunov functions at switching points is required. This allows us to introduce a gap at switching points to prevent chattering behavior. Then, with the help of the designed switching pol-icy, sufficient conditions of guaranteeing the solvability of the problems are established, and the proposed methodology is also extended to the case where all subsystems consist of interval type parameter uncertainties. Finally, through two examples, the validity and feasibility of the proposed methods are demonstrated.(c) 2022 Elsevier Ltd. All rights reserved.
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