Global Stability and Synchronization of Markovian Switching Neural Networks with Stochastic Perturbation and Impulsive Delay

被引：23

作者：

Zhang, Wei ^{[1
]}

Li, Chuandong ^{[1
]}

Huang, Tingwen ^{[2
]}

Qi, Jiangtao ^{[1
]}

机构：

[1] Chongqing Univ, Coll Comp Sci, Chongqing 400044, Peoples R China

[2] Texas A&M Univ, Doha 5825, Qatar

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2015年 / 34卷 / 08期

关键词：

Markovian switching; Neural networks; Exponential synchronization; Global stability; Stochastic perturbation; Impulsive delay; GENETIC REGULATORY NETWORKS; TIME-VARYING DELAYS; EXPONENTIAL STABILITY;

D O I：

10.1007/s00034-014-9924-0

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper focuses on the hybrid effects of Markovian switching, stochastic perturbation, and impulsive delay on neural networks. First, some novel generic criteria for Markovian switching neural networks with stochastic perturbation and impulsive delay are derived by establishing an extended Halanay differential inequality on impulsive dynamical systems. Second, our sufficient conditions ensuring synchronization are dependent on coupling and impulsive delay, and show coupling and impulsive effects on the synchronization of neural networks. Finally, simulation results demonstrate the effectiveness of the theoretical results.

引用

页码：2457 / 2474

页数：18

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