Exponential synchronization of discontinuous neural networks with time-varying mixed delays via state feedback and impulsive control

被引：0
作者：
Xinsong Yang
Jinde Cao
Daniel W. C. Ho
机构：
[1] Chongqing Normal University,Department of Mathematics
[2] Southeast University,Department of Mathematics
[3] King Abdulaziz University,Department of Mathematics, Faculty of Science
[4] City University of Hong Kong,Department of Mathematics
[5] Nanjing University of Science and Technology,School of Automation
来源：
Cognitive Neurodynamics | 2015年 / 9卷
关键词：
Neural networks; Discontinuous activations; Exponential synchronization; Filippov solutions; State feedback control; Impulsive control;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper investigates drive-response synchronization for a class of neural networks with time-varying discrete and distributed delays (mixed delays) as well as discontinuous activations. Strict mathematical proof shows the global existence of Filippov solutions to neural networks with discontinuous activation functions and the mixed delays. State feedback controller and impulsive controller are designed respectively to guarantee global exponential synchronization of the neural networks. By using Lyapunov function and new analysis techniques, several new synchronization criteria are obtained. Moreover, lower bound on the convergence rate is explicitly estimated when state feedback controller is utilized. Results of this paper are new and some existing ones are extended and improved. Finally, numerical simulations are given to verify the effectiveness of the theoretical results.
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页码：113 / 128
页数：15
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