Stochastic quasi-synchronization for delayed dynamical networks via intermittent control

被引：61
作者：
Pan, Lijun [1 ,2 ]
Cao, Jinde [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
[2] JiaYing Univ, Sch Math, Meizhou 514015, Guangdong, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Synchronization; Stochastic perturbation; Intermittent control; Delay; Chaotic dynamical networks; COMPLEX NETWORKS; CHAOTIC SYSTEMS; NEURAL-NETWORKS; FEEDBACK;
D O I：
10.1016/j.cnsns.2011.07.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the stochastic quasi-synchronization for the delayed networks with parameter mismatches and stochastic perturbation mismatch by using intermittent control. Based on Lyapunov stability theory, inequality techniques and the properties of Weiner process, several sufficient conditions are obtained to ensure stochastic quasi-synchronization for delayed networks. Meanwhile, numerical simulations are offered to show the effectiveness of our new results. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：1332 / 1343
页数：12
相关论文
共 31 条
[11]   Synchronization of chaotic systems with delay using intermittent linear state feedback [J].
Huang, Tingwen ;
Li, Chuandong ;
Liu, Xinzhi .
CHAOS, 2008, 18 (03)
[12]   Characterization of the parameter-mismatching effect on the loss of chaos synchronization [J].
Jalnine, A ;
Kim, SY .
PHYSICAL REVIEW E, 2002, 65 (02) :1-026210
[13]   State Estimation for Coupled Uncertain Stochastic Networks With Missing Measurements and Time-Varying Delays: The Discrete-Time Case [J].
Liang, Jinling ;
Wang, Zidong ;
Liu, Xiaohui .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (05) :781-793
[14]   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
[15]   A unified synchronization criterion for impulsive dynamical networks [J].
Lu, Jianquan ;
Ho, Daniel W. C. ;
Cao, Jinde .
AUTOMATICA, 2010, 46 (07) :1215-1221
[16]  
Mao X., 1994, Exponential Stability of Stochastic Differential Equations
[17]   SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].
PECORA, LM ;
CARROLL, TL .
PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824
[18]   Criteria for global pinning-controllability of complex networks [J].
Porfiri, Maurizio ;
di Bernardo, Mario .
AUTOMATICA, 2008, 44 (12) :3100-3106
[19]   Synchronization of a large number of continuous one-dimensional stochastic elements with time-delayed mean-field coupling [J].
Pototsky, Andrey ;
Janson, Natalia .
PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (02) :175-183
[20]   Parameter mismatches and perfect anticipating synchronization in bidirectionally coupled external cavity laser diodes [J].
Shahverdiev, EM ;
Sivaprakasam, S ;
Shore, KA .
PHYSICAL REVIEW E, 2002, 66 (01)
1234