Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks

作者：Huang, Chuangxia^*; Cao, Jie; Wang, Peng

来源：Discrete Dynamics in Nature and Society, 2016, 2016: 4958217.

DOI：10.1155/2016/4958217

• SURE EXPONENTIAL STABILITY
• ROBUST STABILITY
• TIME-DELAY
• SYNCHRONIZATION
• SYSTEMS
• STABILIZATION
• PARAMETERS

We address the problem of stochastic attractor and boundedness of a class of switched Cohen-Grossberg neural networks (CGNN) with discrete and infinitely distributed delays. With the help of stochastic analysis technology, the Lyapunov-Krasovskii functional method, linear matrix inequalities technique (LMI), and the average dwell time approach (ADT), some novel sufficient conditions regarding the issues of mean-square uniformly ultimate boundedness, the existence of a stochastic attractor, and the mean-square exponential stability for the switched Cohen-Grossberg neural networks are established. Finally, illustrative examples and their simulations are provided to illustrate the effectiveness of the proposed results.

• 出版日期2016
• 单位长沙理工大学; 中国科学院数学与系统科学研究院