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

页码：63 / 70

页数：8

共 37 条

[1] Finite-time synchronization for memristor-based neural networks with time-varying delays [J].

Abdurahman, Abdujelil ;

Jiang, Haijun ;

Teng, Zhidong .

NEURAL NETWORKS, 2015, 69 :20-28

[2] Finite-time stability of continuous autonomous systems [J].

Bhat, SP ;

Bernstein, DS .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766

[3] Fixed-time cluster lag synchronization in directed heterogeneous community networks [J].

Cai, Shuiming ;

Zhou, Feilong ;

He, Qinbin .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 525 :128-142

[4] Outer synchronization between two hybrid-coupled delayed dynamical networks via aperiodically adaptive intermittent pinning control [J].

Cai, Shuiming ;

Lei, Xuqiang ;

Liu, Zengrong .

COMPLEXITY, 2016, 21 (S2) :593-605

[5] Cluster synchronization for directed heterogeneous dynamical networks via decentralized adaptive intermittent pinning control [J].

Cai, Shuiming ;

Jia, Qiang ;

Liu, Zengrong .

NONLINEAR DYNAMICS, 2015, 82 (1-2) :689-702

[6] Robust Design Strategy of Quantized Feedback Control [J].

Chang, Xiao-Heng ;

Huang, Rui ;

Wang, Huanqing ;

Liu, Liang .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2020, 67 (04) :730-734

[7] Complex systems: Features, similarity and connectivity [J].

Comin, Cesar H. ;

Peron, Thomas ;

Silva, Filipi N. ;

Amancio, Diego R. ;

Rodrigues, Francisco A. ;

Costa, Luciano da F. .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2020, 861 :1-41

[8] New Synchronization Stability of Complex Networks With an Interval Time-Varying Coupling Delay [J].

Fei, Zhongyang ;

Gao, Huijun ;

Zheng, Wei Xing .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2009, 56 (06) :499-503

[9] Finite-Time Synchronization for Switched Neural Networks via Quantized Feedback Control [J].

Guan, Chaoxu ;

Fei, Zhongyang ;

Karimi, Hamid Reza ;

Shi, Peng .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 51 (05) :2873-2884

[10]

Hardy G. H., 1952, Inequalities

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