Synchronization of Non-Identical Unknown Chaotic Delayed Neural Networks Based on Adaptive Sliding Mode Control

被引:11
作者
Gan, Qintao [1 ]
Liang, Yuhua [1 ]
机构
[1] Shijiazhuang Mech Engn Coll, Dept Basic Sci, Shijiazhuang 050003, Peoples R China
基金
中国国家自然科学基金;
关键词
Synchronization; Neural networks; Parameter identification; Sliding mode control; Adaptive control; PROJECTIVE SYNCHRONIZATION; STABILITY; SYSTEMS; CRITERION; DISCRETE;
D O I
10.1007/s11063-012-9215-3
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The synchronization problem is studied in this paper for non-identical chaotic neural networks with time delays and fully unknown parameters, where the mismatched parameters, activation functions and neural network architectures are taken into account. To overcome the difficulty that complete synchronization of non-identical chaotic neural networks cannot be achieved only by utilizing output feedback control, we design an adaptive sliding mode controller to realize the synchronization. Our synchronization criteria are easily verified and do not need to solve any linear matrix inequality. These results generalize a few previous known results and remove some restrictions on the parameters, activation functions and neural network architectures. This paper also presents an illustrative example and uses simulated results of this example to show the feasibility and effectiveness of the proposed scheme.
引用
收藏
页码:245 / 255
页数:11
相关论文
共 26 条
[1]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[2]   New results for robust stability of dynamical neural networks with discrete time delays [J].
Ensari, Tolga ;
Arik, Sabri .
EXPERT SYSTEMS WITH APPLICATIONS, 2010, 37 (08) :5925-5930
[3]   A chattering-free sliding mode control design for uncertain chaotic systems [J].
Falahpoor, M. ;
Ataei, M. ;
Kiyoumarsi, A. .
CHAOS SOLITONS & FRACTALS, 2009, 42 (03) :1755-1765
[4]   Synchronization of chaotic neural networks with mixed time delays [J].
Gan, Qintao ;
Xu, Rui ;
Kang, Xibing .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) :966-974
[5]   Synchronization of nonidentical chaotic neural networks with time delays [J].
Huang, He ;
Feng, Gang .
NEURAL NETWORKS, 2009, 22 (07) :869-874
[6]   Synchronization of neutral complex dynamical networks with coupling time-varying delays [J].
Ji, D. H. ;
Lee, D. W. ;
Koo, J. H. ;
Won, S. C. ;
Lee, S. M. ;
Park, Ju H. .
NONLINEAR DYNAMICS, 2011, 65 (04) :349-358
[7]   Synchronization Criterion for Lur'e Systems via Delayed PD Controller [J].
Ji, D. H. ;
Park, Ju H. ;
Lee, S. M. ;
Koo, J. H. ;
Won, S. C. .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 147 (02) :298-317
[8]   Synchronization criterion for Lur'e type complex dynamical networks with time-varying delay [J].
Ji, D. H. ;
Park, Ju H. ;
Yoo, W. J. ;
Won, S. C. ;
Lee, S. M. .
PHYSICS LETTERS A, 2010, 374 (10) :1218-1227
[9]   Tracking control and generalized projective synchronization of a class of hyperchaotic system with unknown parameter and disturbance [J].
Li, Chunlai .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (01) :405-413
[10]   Anti-periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays on time scales [J].
Li, Yongkun ;
Yang, Li ;
Wu, Wanqin .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2011, 42 (07) :1127-1132