期刊
NONLINEAR ANALYSIS-HYBRID SYSTEMS
卷 51, 期 -, 页码 -出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2023.101431
关键词
Asymptotic synchronization; Topology identification; Stochastic hybrid coupled systems; Graph-theoretic method
This article discusses a class of stochastic hybrid delayed coupled systems with multiple weights, and derives several conditions for asymptotic synchronization and topology identification of the systems based on Kirchhoff's Matrix-Tree Theorem and Lyapunov stability theory.
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. (c) 2023 Elsevier Ltd. All rights reserved.
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