Global Exponential Stabilization of Neural Networks with Time Delay via Impulsive Control

被引:0
作者
Chen, Wu-Hua [1 ]
Lu, Xiaomei [1 ]
Zheng, Wei Xing [2 ]
机构
[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China
[2] Univ Western Sydney, Sch Comp Engn & Math, Penrith, NSW 2751, Australia
来源
2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2014年
关键词
STABILITY ANALYSIS; VARIABLE DELAYS; ASYMPTOTIC STABILITY; VARYING DELAY; SYNCHRONIZATION; SYSTEMS;
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
The problem of global exponential stabilization of discrete-time delayed neural networks (DDNNs) via impulsive control is addressed in this paper. A novel time-varying Lyapunov functional is proposed to capture the dynamical characteristic of discrete-time impulsive delayed neural networks (DIDNNs). In conjunction with the convex combination technique, new conditions in the form of linear matrix inequalities are established for global exponential stability of DIDNNs. The distinct features of the new stability conditions for DIDNNs are that they are dependent upon the lengths of impulsive intervals but independent of the size of time delay. This paves the way for designing the impulsive controller for impulsive stabilization of DDNNs. The applicability of the developed global exponential stabilization conditions is validated by numerical results.
引用
收藏
页码:6782 / 6787
页数:6
相关论文
共 32 条
[1]   Global asymptotic stability of a class of neural networks with distributed delays [J].
Chen, WH ;
Zheng, WX .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (03) :644-652
[2]   Global exponential stability for discrete-time neural networks with variable delays [J].
Chen, Wu-Hua ;
Lu, Xiaomei ;
Liang, Dong-Ying .
PHYSICS LETTERS A, 2006, 358 (03) :186-198
[3]   On Global Asymptotic Stability of Cohen-Grossberg Neural Networks With Variable Delays [J].
Chen, Wu-Hua ;
Zheng, Wei Xing .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2008, 55 (10) :3145-3159
[4]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[5]   ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].
COHEN, MA ;
GROSSBERG, S .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826
[6]   Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain [J].
Forti, M ;
Nistri, P ;
Papini, D .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (06) :1449-1463
[7]   Stability and bifurcation in a discrete system of two neurons with delays [J].
Guo, Shangjiang ;
Tang, Xianhua ;
Huang, Lihong .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (04) :1323-1335
[8]   DISCRETE-TIME CELLULAR NEURAL NETWORKS [J].
HARRER, H ;
NOSSEK, JA .
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1992, 20 (05) :453-467
[9]   New delay-dependent stability criteria for neural networks with time-varying delay [J].
He, Yong ;
Liu, Guoping ;
Rees, D. .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (01) :310-314
[10]   NEURAL NETWORKS AND PHYSICAL SYSTEMS WITH EMERGENT COLLECTIVE COMPUTATIONAL ABILITIES [J].
HOPFIELD, JJ .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1982, 79 (08) :2554-2558