Exponential stability and applications of switched positive linear impulsive systems with time-varying delays and all unstable subsystems |
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引用本文: | Yanchao He,Yuzhen Bai. Exponential stability and applications of switched positive linear impulsive systems with time-varying delays and all unstable subsystems[J]. Journal of Applied Analysis & Computation, 2024, 14(4) |
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作者姓名: | Yanchao He Yuzhen Bai |
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摘 要: |
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收稿时间: | 2023-10-17 |
修稿时间: | 2024-03-16 |
Exponential stability and applications of switched positive linear impulsive systems with time-varying delays and all unstable subsystems |
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Affiliation: | School of Mathematical Sciences Qufu Normal University Qufu, 273165, P.R. China,School of Mathematical Sciences Qufu Normal University Qufu, 273165, P.R. China |
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Abstract: | The global uniform exponential stability of switched positive linear impulsive systems with time-varying delays and all unstable subsystemsis studied in this paper, which includes two types of distributed time-varying delays and discrete time-varying delays. Switching behaviors dominating the switched systems can be either stabilizing and destabilizing in the new designed switching sequence. We design new linear programming algorithm process to find the feasible ratio of stabilizing switching behaviors, which can be compensated by unstable subsystems, destabilizing switching behaviors, and impulses. Specically, we add a kind of nonnegative impulses which is consistent with the switching behaviors for the systems. Employing a multiple co-positive Lyapunov-Krasovskii functional, we present several new sufficient stability criteria and design new switching sequence. Then, we apply the obtained stability criteria to the exponential consensus of linear delayed multi-agent systems, and obtain the new exponential consensus criteria. Three simulations are provided to demonstrate the proposed stability criteria. |
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Keywords: | Exponential stability switched systems impulses distributed time-varying delays |
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