Almost sure cluster synchronization of Markovian switching complex networks with stochastic noise via decentralized adaptive pinning control

被引：28

作者：

Dong, Hailing ^{[1
]}

Ye, Danfeng ^{[1
]}

Feng, Jianwen ^{[1
]}

Wang, Jingyi ^{[2
]}

机构：

[1] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China

[2] Shenzhen Univ, Coll Optoelect Engn, Key Lab Optoelect Devices & Syst, Minist Educ & Guangdong Prov, Shenzhen 518060, Peoples R China

来源：

NONLINEAR DYNAMICS | 2017年 / 87卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Cluster synchronization; Markovian switching; Stochastic noise; Decentralized adaptive pinning control; DIFFERENTIAL-DELAY EQUATIONS; TIME-VARYING DELAYS; PHASE SYNCHRONIZATION; DYNAMICAL NETWORKS; NEURAL-NETWORKS; OSCILLATORS; STABILITY;

D O I：

10.1007/s11071-016-3071-z

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper investigates the issue of almost sure cluster synchronization in nonlinearly coupled complex networks with nonidentical nodes and time-varying delay. These networks are modulated by a continuous-time Markov chain and disturbed by a Brownian movement. The decentralized adaptive update law and pinning control protocol are employed in designing controllers for guaranteeing almost sure cluster synchronization. By constructing a novel stochastic Lyapunov-Krasovskii function and using the stochastic Lasalle-type invariance theorem, some sufficient conditions for almost sure cluster synchronization of the networks are derived. Finally, a numerical example is given to testify the effectiveness of the theoretical results.

引用

页码：727 / 739

页数：13

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