一类具有Leakage时滞的反应扩散神经网络在间歇控制下的指数同步  

Exponential Synchronization of Reaction-Diffusion Neural Networks with Time Delay in the Leakage Term Based on Periodically Intermittent Control

作　　者：王丽丽[1] 徐瑞[1] 

机构地区：[1]军械工程学院应用数学研究所,河北石家庄

出　　处：《应用数学进展》2016年第2期298-309,共12页Advances in Applied Mathematics

基　　金：国家自然科学基金(11371368);国家自然科学基金(61305076);军械工程学院基础部科学研究基金(Jcky1507)等项目资助。

摘　　要：本文研究了一类具有混合时滞和Leakage时滞的反应扩散神经网络的指数同步问题。通过构造适当的Lyapunov泛函,结合不等式分析技巧,得到了系统在周期性间歇控制下实现指数同步的条件,且这些条件既依赖于Leakage时滞,又依赖于扩散系数和扩散空间。本文所研究的模型更具有一般性,所得结果去掉了对时滞的限制,降低了同步条件的保守性。最后通过数值模拟说明了所得结论的可行性。In this paper, the exponential synchronization of neural networks with spacial diffusion, mixed time-varying delays and leakage delay is investigated. By means of Lyapunov functional technique and some inequality techniques, exponential synchronization criteria dependent on leakage delay, diffusion coefficients and diffusion space are derived for the neural networks based on periodically intermittent control. The model studied in this paper is more general. The results obtained remove the restriction on the time-delays and are less conservative. Numerical simulations are carried out to illustrate the feasibility of the proposed theoretical results.

关 键 词：指数同步 Leakage时滞 反应扩散 间歇控制 

分 类 号：O1[理学—数学]