SYNCHRONIZATION FOR SINGULARITY-PERTURBED COMPLEX NETWORKS VIA EVENT-TRIGGERED IMPULSIVE CONTROL

被引：4
|
作者：
Liang, Kun [1 ]
He, Wangli [1 ]
Yuan, Yang [1 ]
Shi, Liyu [1 ]
机构：
[1] East China Univ Sci & Technol, Minist Educ, Key Lab Smart Mfg Energy Chem Proc, Shanghai 200237, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2022年 / 15卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Event-triggered impulsive control; singularity-perturbed complex networks; synchronization; two-timescale characteristic; hybrid system; MULTIAGENT SYSTEMS; CONSENSUS; STABILITY;
D O I：
10.3934/dcdss.2022068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies synchronization of singularity-perturbed complex networks (SPCNs) with a small singular perturbation parameter (SPP) via event-triggered impulsive control (ETIC). A novel dynamic event-triggered mechanism is proposed where an auxiliary impulse parameter is introduced to regulate the triggering threshold dynamically for saving the network resource. Based on SPP-dependent Lyapunov function, some sufficient conditions involving the impulsive gain, triggering parameters and singular perturbation parameter (SPP) are obtained to synchronize the SPCNs, and the upper bound of SPP is also determined. Moreover, it proves that the Zeno behavior can be excluded. Finally, two simulations are provided to demonstrate the validity of the obtained results.
引用
收藏
页码：3205 / 3221
页数：17
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