Finite-Time Synchronization of Coupled Networks With Markovian Topology and Impulsive Effects

被引：265

作者：

Yang, Xinsong ^{[1
]}

Lu, Jianquan ^{[2
]}

机构：

[1] Chongqing Normal Univ, Dept Math, Chongqing 401331, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Average impulsive interval; coupled networks; finite-time synchronization; Markov chain; COMPLEX DYNAMICAL NETWORK; CHAOTIC SYSTEMS; NEURAL-NETWORKS; VARYING DELAYS; COMMUNICATION; CONTROLLER;

D O I：

10.1109/TAC.2015.2484328

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This note considers globally finite-time synchronization of coupled networks with Markovian topology and distributed impulsive effects. The impulses can be synchronizing or desynchronizing with certain average impulsive interval. By using M-matrix technique and designing new Lyapunov functions and controllers, sufficient conditions are derived to ensure the synchronization within a setting time, and the conditions do not contain any uncertain parameter. It is demonstrated theoretically and numerically that the number of consecutive impulses with minimum impulsive interval of the desynchronizing impulsive sequence should not be too large. It is interesting to discover that the setting time is related to initial values of both the network and the Markov chain. Numerical simulations are provided to illustrate the effectiveness of the theoretical analysis.

引用

页码：2256 / 2261

页数：6

共 31 条

[11]

Li ZhiHong Li ZhiHong, 2013, Plant Quarantine (Shanghai), V27, P1

[12]

Liu B., 2015, IEEE T AUTOMAT CONTR, V57, P754

[13] Synchronization of Dynamical Networks by Network Control [J].

Liu, Tao ;

Hill, David J. ;

Zhao, Jun .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (06) :1574-1580

[14] Synchronization of Complex Networks via Aperiodically Intermittent Pinning Control [J].

Liu, Xiwei ;

Chen, Tianping .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (12) :3316-3321

[15] Stability and Synchronization of Discrete-Time Markovian Jumping Neural Networks With Mixed Mode-Dependent Time Delays [J].

Liu, Yurong ;

Wang, Zidong ;

Liang, Jinling ;

Liu, Xiaohui .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (07) :1102-1116

[16] A time-varying complex dynamical network model and its controlled synchronization criteria [J].

Lü, JH ;

Chen, GR .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (06) :841-846

[17] A unified synchronization criterion for impulsive dynamical networks [J].

Lu, Jianquan ;

Ho, Daniel W. C. ;

Cao, Jinde .

AUTOMATICA, 2010, 46 (07) :1215-1221

[18] THE DOUBLE SCROLL [J].

MATSUMOTO, T ;

CHUA, LO ;

KOMURO, M .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1985, 32 (08) :797-818

[19] SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].

PECORA, LM ;

CARROLL, TL .

PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824

[20] Finite-time observers: Application to secure communication [J].

Perruquetti, Wilfrid ;

Floquet, Thierry ;

Moulay, Emmanuel .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (01) :356-360

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