Synchronization control of switched linearly coupled neural networks with delay

被引:88
作者
Yu, Wenwu [1 ,2 ]
Cao, Jinde [1 ]
Lu, Wenlian [3 ]
机构
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
[3] Fudan Univ, Inst Math, Lab Nonlinear Math Sci, Shanghai 200433, Peoples R China
基金
中国国家自然科学基金;
关键词
Complex network; Linearly coupled delayed neural networks; Lyapunov functional; Global synchronization; Linear matrix inequality; Switched system; GLOBAL SYNCHRONIZATION; ADAPTIVE SYNCHRONIZATION; ROBUST STABILIZATION; DYNAMICAL NETWORKS; SYSTEMS; STABILITY; ARRAYS; MODEL;
D O I
10.1016/j.neucom.2009.10.009
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, synchronization control of switched linearly coupled delayed neural networks is investigated by using the Lyapunov functional method, synchronization manifold and linear matrix inequality (LMI) approach. A sufficient condition is derived to ensure the global synchronization of switched linearly coupled complex neural networks, which are controlled by some designed controllers. A globally convergent algorithm involving convex optimization is also presented to construct such controllers effectively. In many cases, it is desirable to control the whole network by changing the connections of some nodes in the complex network, and this paper provides an applicable approach. It is even applicable to the case when the derivative of the time-varying delay takes arbitrary. Finally, some simulations are constructed to justify the theoretical analysis. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:858 / 866
页数:9
相关论文
共 49 条
[1]  
[Anonymous], 2001, Special matrices
[2]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[3]   Global synchronization in arrays of delayed neural networks with constant and delayed coupling [J].
Cao, JD ;
Li, P ;
Wang, WW .
PHYSICS LETTERS A, 2006, 353 (04) :318-325
[4]   A new complex network model and convergence dynamics for reputation computation in virtual organizations [J].
Cao, Jinde ;
Yu, Wenwu ;
Qu, Yuzhong .
PHYSICS LETTERS A, 2006, 356 (06) :414-425
[5]   A low-power CMOS analog multiplier [J].
Chen, CH ;
Li, Z .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (02) :100-104
[6]   Global synchronization of coupled delayed neural networks and applications to chaotic CNN models [J].
Chen, GR ;
Zhou, J ;
Liu, ZR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (07) :2229-2240
[7]   Dynamical behaviors of a large class of general delayed neural networks [J].
Chen, TP ;
Lu, WL ;
Chen, GR .
NEURAL COMPUTATION, 2005, 17 (04) :949-968
[8]   Global convergence rate of recurrently connected neural networks [J].
Chen, TP ;
Lu, WL ;
Amari, S .
NEURAL COMPUTATION, 2002, 14 (12) :2947-2957
[9]  
GU K., 2003, CONTROL ENGN SER BIR
[10]   Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties [J].
He, Y ;
Wu, M ;
She, JH ;
Liu, GP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) :828-832