Adaptive exponential synchronization of delayed Cohen-Grossberg neural networks with discontinuous activations

被引:18
作者
Wu, Huaiqin [1 ]
Zhang, Xiaowei [1 ]
Li, Ruoxia [1 ]
Yao, Rong [1 ]
机构
[1] Yanshan Univ, Dept Appl Math, Qinhuangdao 066001, Peoples R China
关键词
Neural networks; Exponential synchronization; Discontinuous neuron activations; Adaptive controller; Lyapunov stability theory; ALMOST-PERIODIC SOLUTION; TIME-VARYING DELAYS; GLOBAL CONVERGENCE; STABILITY; SYSTEMS;
D O I
10.1007/s13042-014-0258-9
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper treats of the exponential synchronization issue of delayed Cohen-Grossberg neural networks with discontinuous activations. By utilizing Lyapunov stability theory, an adaptive controller is designed such that the response system can be exponentially synchronized with a drive system. Our synchronization criteria are easily verified and the obtained results are also applicable to neural networks with continuous activations since they are a special case of neural networks with discontinuous activations. Results of this paper improve a few previous known results. Finally, numerical simulations are given to verify the effectiveness of the theoretical results.
引用
收藏
页码:253 / 263
页数:11
相关论文
共 44 条
[1]   Common Asymptotic Behavior of Solutions and Almost Periodicity for Discontinuous, Delayed, and Impulsive Neural Networks [J].
Allegretto, Walter ;
Papini, Duccio ;
Forti, Mauro .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (07) :1110-1125
[2]  
Cellina A., 1984, Differential Inclusions: Set-valued Maps and Viability Theory
[3]   On Sampled-Data Control for Master-Slave Synchronization of Chaotic Lur'e Systems [J].
Chen, Wu-Hua ;
Wang, Zipeng ;
Lu, Xiaomei .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2012, 59 (08) :515-519
[4]   Global exponential stability of the periodic solution of delayed Cohen-Grossberg neural networks with discontinuous activations [J].
Chen, Xiaofeng ;
Song, Qiankun .
NEUROCOMPUTING, 2010, 73 (16-18) :3097-3104
[5]  
Clarke F. H., 1983, OPTIMIZATION NONSMOO
[6]   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
[7]   Global Robust Stability Criteria for Interval Delayed Full-Range Cellular Neural Networks [J].
Di Marco, Mauro ;
Grazzini, Massimo ;
Pancioni, Luca .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (04) :666-671
[8]  
Filippov A.F., 1988, Differential Equations with Discontinuous Righthand Sides, P3
[9]   Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations [J].
Forti, A ;
Grazzini, A ;
Nistri, P ;
Pancioni, L .
PHYSICA D-NONLINEAR PHENOMENA, 2006, 214 (01) :88-99
[10]   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