On reachable set bounding for discrete-time switched nonlinear positive systems with mixed time-varying delays and disturbance
Nonlinear Analysis: Hybrid Systems(2023)
摘要
This paper addresses the reachable set bounding for discrete-time switched nonlinear positive systems with mixed time-varying delays and disturbance, which contains switched linear positive systems as a special case. By resorting to a new method that does not involve the common Lyapunov–Krasovskii functional one, explicit criteria to ensure any state trajectory of the system converges exponentially into a prescribed sphere are obtained under average dwell time switching. The results can then be extended to more general time-varying systems. Finally, two numerical examples are used to demonstrate the effectiveness of the obtained results.
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关键词
Reachable set bounding, Positive system, Switched system, Time delay, Disturbance
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