Impulsive stabilization of complex-valued stochastic complex networks via periodic self-triggered intermittent control

The aim of this article is to research the stabilization issue of complex-valued stochastic Markovian switching complex networks with time delays and time-varying multi-links (CSMCTM) via periodic self-triggered intermittent impulsive control (PSIIC). Thereinto, PSIIC is designed for the first time...

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Bibliographic Details
Published in:Nonlinear analysis. Hybrid systems 2023-05, Vol.48, p.101304, Article 101304
Main Authors: Zhou, Hui, Chen, Yuting, Chu, Dianhui, Li, Wenxue
Format: Article
Language:English
Subjects:
Complex-valued complex networks
Impulsive control
Intermittent control
Periodic self-triggered control
Stabilization
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Summary:The aim of this article is to research the stabilization issue of complex-valued stochastic Markovian switching complex networks with time delays and time-varying multi-links (CSMCTM) via periodic self-triggered intermittent impulsive control (PSIIC). Thereinto, PSIIC is designed for the first time by combining intermittent impulsive control with periodic self-triggered control for intermittent control. It is worth emphasizing that the triggered protocol is designed to be more flexible, and easier to implement than previously reported triggered protocol. Then, by means of impulsive control, intermittent control, event-driven control theory and stability analysis, a stabilization criterion of CSMCTM in the sense of exponential stability in mean square is obtained. Whereafter, the stability of a class of complex-valued inertial neural networks is researched as a practical application of our theoretical results. Ultimately, a numerical example gives a corresponding verification.
ISSN:1751-570X
DOI:10.1016/j.nahs.2022.101304