Local Synchronization for Delayed Complex Dynamical Networks via Self-Triggered Impulsive Control Involving Delays

被引：0
|
作者：
Wang, Mingzhu [1 ]
Li, Xiaodi [1 ]
Song, Shiji [2 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
[2] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China
来源：
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2024年
基金：
中国国家自然科学基金;
关键词：
Synchronization; Delay effects; Delays; Symmetric matrices; Couplings; System dynamics; Real-time systems; Comparison principle; complex dynamical networks (CDNs); local synchronization; Razumikhin methods; self-triggered impulsive control (STIC); time delay;
D O I：
10.1109/TNNLS.2024.3414126
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This article investigates the local synchronization for delayed complex dynamical networks (CDNs) under self-triggered impulsive control (STIC) approaches involving delays. With the help of Lyapunov-Razumikhin methods and comparison principle, some design criteria of STIC strategies ensuring local synchronization for delayed CDNs with delayed impulses are provided, and Zeno behavior can be avoided. Compared with the existing results on synchronization of CDNs under STIC, in this article, time delays in both continuous and discrete system dynamics are well considered. Moreover, the proposed self-triggered mechanism (STM) is an explicit expression, under which the next triggering instant can be derived directly, with simple structure and easy implementation. Finally, two numerical examples are provided to validate the proposed theoretical criteria.
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页数：7
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