Light fixed-time control for cluster synchronization of complex networks

被引：17
作者：
Jiang, Shengqin [1 ,2 ]
Qi, Yuankai [3 ]
Cai, Shuiming [4 ]
Lu, Xiaobo [2 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Sch Comp & Software, Nanjing 210044, Peoples R China
[2] Southeast Univ, Sch Automat, Nanjing 210096, Peoples R China
[3] Harbin Inst Technol, Sch Comp Sci & Technol, Weihai 264209, Peoples R China
[4] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
NEUROCOMPUTING | 2021年 / 424卷
基金：
中国国家自然科学基金;
关键词：
Fixed-time control; Continuous control; Cluster synchronization; Complex networks; FINITE-TIME; NEURAL-NETWORKS; STABILIZATION; STABILITY;
D O I：
10.1016/j.neucom.2020.10.111
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Fixed-time control allows complex systems to be stable in a settling time independent of initial conditions, which receives extensive attentions in the field of control and engineering. However, the application to complex systems suffers from the issues of chattering effects and multi-parameters. To address these issues, a light fixed-time controller is proposed with a compact formulation by revisiting continuous control paradigm. Sufficient conditions are then obtained by Lyapunov stability theorem to guarantee the nodes in each cluster to desired states in a settling time. At last, numerical examples are given to verify the effectiveness of our proposed control strategy. (c) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页码：63 / 70
页数：8
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