Exponential synchronization of stochastic complex dynamical networks with impulsive perturbations and Markovian switching

被引：0

作者：

Dai, Anding ^{[1
]}

Zhou, Wuneng ^{[1
]}

Zheng, Yichao ^{[1
]}

Su, Shengchao ^{[1
]}

机构：

[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China

来源：

26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC) | 2014年

关键词：

Exponential synchronization; Complex dynamical network; Markovian switching; Impulsive perturbation; NEURAL-NETWORKS; JUMPING PARAMETERS; TIME DELAYS; STABILITY;

D O I：

暂无

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 paper investigates the exponential synchronization problem of stochastic complex dynamical networks with impulsive perturbations and Markovian switching. The complex dynamical networks consists of K modes and the networks switch from one mode to another according to a Markovian chain with known transition probability. Basing on the Lyapunov functional method and stochastic analysis, by employing 1W-matrix approach, some sufficiency conditions are presented to ensure the exponential synchronization of stochastic complex dynamical networks with impulsive perturbations and Markovian switching, and the upper bound of impulsive gain is evaluated. At the end of this paper, a numerical examples are included to show the effectiveness of our results.

引用

页码：4840 / 4845

页数：6

共 22 条

[1] Synchronization in complex networks [J].

Arenas, Alex ;

Diaz-Guilera, Albert ;

Kurths, Jurgen ;

Moreno, Yamir ;

Zhou, Changsong .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 469 (03) :93-153

[2] Complex networks: Structure and dynamics [J].

Boccaletti, S. ;

Latora, V. ;

Moreno, Y. ;

Chavez, M. ;

Hwang, D. -U. .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5) :175-308

[3] Robust impulsive synchronization of complex delayed dynamical networks [J].

Cai, Shuiming ;

Zhou, Jin ;

Xiang, Lan ;

Liu, Zengrong .

PHYSICS LETTERS A, 2008, 372 (30) :4990-4995

[4] The dynamics of discrete-time computation, with application to recurrent neural networks and finite state machine extraction [J].

Casey, M .

NEURAL COMPUTATION, 1996, 8 (06) :1135-1178

[5] Leader Following of Nonlinear Agents With Switching Connective Network and Coupling Delay [J].

Jia, Qiang ;

Tang, Wallace K. S. ;

Halang, Wolfgang A. .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (10) :2508-2519

[6] Global synchronization and asymptotic stability of complex dynamical networks [J].

Li, Z ;

Chen, GR .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (01) :28-33

[7] Chaos synchronization of general complex dynamical networks [J].

Lü, JH ;

Yu, XH ;

Chen, GR .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 334 (1-2) :281-302

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

Lu, Jianquan ;

Ho, Daniel W. C. ;

Cao, Jinde .

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

[9] Stability of stochastic Markovian jump neural networks with mode-dependent delays [J].

Ma, Qian ;

Xu, Shengyuan ;

Zou, Yun ;

Lu, Jinjun .

NEUROCOMPUTING, 2011, 74 (12-13) :2157-2163

[10]

Mao X., 2006, STOCHASTIC DIFFERENT, DOI [10.1142/p473, DOI 10.1142/P473]

← 1 2 3 →