Impulsive control for the synchronization of coupled neural networks with reaction-diffusion terms

被引:30
作者
Wei, Pu-Chong [1 ]
Wang, Jin-Liang [1 ]
Huang, Yan-Li [1 ]
Xu, Bei-Bei [1 ]
Ren, Shun-Yan [2 ]
机构
[1] Tianjin Polytech Univ, Tianjin Key Lab Optoelect Detect Technol & Syst, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China
[2] Tianjin Polytech Univ, Sch Mech Engn, Tianjin 300387, Peoples R China
基金
中国国家自然科学基金;
关键词
Coupled neural networks; Reaction-diffusion terms; Impulsive control; Synchronization; COMPLEX DYNAMICAL NETWORKS; TIME-VARYING DELAYS; DISCRETE-TIME; EXPONENTIAL SYNCHRONIZATION; STOCHASTIC SYNCHRONIZATION; PINNING SYNCHRONIZATION; MIXED DELAYS; MISSING MEASUREMENTS; NONLINEAR-SYSTEMS; ADAPTIVE-CONTROL;
D O I
10.1016/j.neucom.2016.05.034
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The impulsive control method is utilized to achieve the synchronization of coupled reaction-diffusion neural networks with time-varying delay. By combining the Lyapunov functional method with the impulsive delay differential inequality and comparison principle, a few sufficient conditions are derived to guarantee the global exponential synchronization of coupled neural networks with reaction-diffusion terms. Especially, the estimate for the exponential convergence rate is also given, which relies on time delay, system parameters and impulsive interval. Finally, numerical examples are provided to demonstrate the correctness and effectiveness of our results. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:539 / 547
页数:9
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