多权随机混合延迟耦合系统的渐近同步与拓扑辨识

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Nonlinear Analysis-Hybrid Systems Pub Date : 2023-09-19 DOI:10.1016/j.nahs.2023.101431

Chunmei Zhang, Huiling Chen, Qin Xu, Yuli Feng, Ran Li

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引用次数: 0

摘要

讨论了一类多权随机混合延迟耦合系统(SHDCSMW)。白噪声和电报噪声都包含在耦合系统中。利用Kirchhoff矩阵树定理，间接重建了与马尔可夫变换密切相关的全局Lyapunov函数。此外，基于Lyapunov稳定性理论和随机分析，导出了SHDCSMW渐近同步和拓扑辨识的几个充分条件。最后，通过数值算例验证了理论结果的有效性。

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Asymptotic synchronization and topology identification of stochastic hybrid delayed coupled systems with multiple weights

This article discusses a class of stochastic hybrid delayed coupled systems with multiple weights (SHDCSMW). Both white noise and telegraph noise are included in the coupled systems. By employing Kirchhoff’s Matrix-Tree Theorem, a global Lyapunov function is rebuilt indirectly, which is closely related to Markovian switching. Moreover, based on Lyapunov stability theory and stochastic analysis, several sufficient conditions with respect to asymptotic synchronization and topology identification of SHDCSMW are derived. Finally, the validity of theoretical results is proved by numerical examples.

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来源期刊

Nonlinear Analysis-Hybrid Systems AUTOMATION & CONTROL SYSTEMS-MATHEMATICS, APPLIED

CiteScore

8.30

自引率

9.50%

发文量

审稿时长

>12 weeks

期刊介绍： Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.