Analysis and discontinuous control for finite-time synchronization of delayed complex dynamical networks

被引：20

作者：

Li, Jiarong ^{[1
]}

Jiang, Haijun ^{[1
]}

Hu, Cheng ^{[1
]}

Yu, Juan ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2018年 / 114卷

关键词：

Complex dynamical networks; Discontinuous control; Finite-time synchronization; Fixed-time synchronization; VARIABLE CHAOTIC SYSTEMS; NEURAL-NETWORKS; EXPONENTIAL SYNCHRONIZATION; UNKNOWN-PARAMETERS; STABILIZATION; IDENTIFICATION; STABILITY; CRITERIA; DESIGN;

D O I：

10.1016/j.chaos.2018.07.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper addresses the finite-time and fixed-time synchronization issue of delayed complex dynamical networks (CDNs). Firstly, as an important preliminary, an improved and generalized finite-time stability theory is established for delayed nonlinear systems to prove the finite-time synchronization mainly through the reduction to absurdity. Different from some existing results, a more detailed discussion of the setting time function for finite-time synchronization is given. Besides, a novel feedback controller is firstly proposed to unify finite-time and fixed-time synchronization just by adjusting the key control parameter. Furthermore, several new criteria are derived to ensure the finite-time and fixed-time synchronization based on inequality analysis method and constructing appropriate Lyapunov functional. Finally, some numerical simulations are presented to support the theoretical results. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：291 / 305

页数：15

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