一类具有混合时滞和leakage时滞的随机反应扩散神经网络在间歇控制下的指数同步（英文）  

Exponential synchronization of stochastic reaction-diffusion neural networks with mixed time-varying delays and leakage delay via periodically intermittent control

作　　者：王丽丽[1] 徐瑞[1] 孙梅慈 

机构地区：[1]军械工程学院应用数学研究所,石家庄050003

出　　处：《黑龙江大学自然科学学报》2017年第4期412-425,共14页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the National Natural Science Foundation of China(11371368;61305076);the Basic Courses Department of Mechanical Engineering College Foundation(Jcky1507)

摘　　要：研究一类具有混合时滞和leakage时滞的随机反应扩散神经网络在间歇控制下的全局指数同步问题。构造适当的Lyapunov泛函,结合随机分析的技巧,得到系统在周期性间歇控制下实现指数同步的条件。与已有的结论相比,本结果去掉了对混和时滞的限制条件,降低了同步条件的保守性。数值模拟验证了所得结论的有效性。A class of neural networks with stochastic perturbation, spacial diffusion, mixed time-varying delays and leakage delay is investigated. By means of Lyapunov functional theory and stochastic analysis technique, exponential synchronization criterion is derived for the neural networks based on periodically intermittent control. The proposed criterion improves the previous known results in literature and removes the restrictions on the mixed time-varying delays. Numerical simulations are carried out to illustrate the feasibility of the obtained theoretical results.

关 键 词：指数同步 空间扩散 随机干扰 leakage时滞 周期性间歇控制 

分 类 号：O175.13[理学—数学]