New stability criteria for neural networks with time-varying delays

作者：Hua, Changchun^*; Yang, Xian; Yan, Jing; Guan, Xinping

来源：Applied Mathematics and Computation, 2012, 218(9): 5035-5042.

DOI：10.1016/j.amc.2011.10.070

• Neural network
• Time-varying delay
• Stability
• Linear matrix inequality

This paper is concerned with the stability analysis problem of neural networks with time delays. The delay intervals [-d(t),0] and [-h,0] are divided into m subintervals with equal length. Some free matrices are introduced to build the relationship among the elements of the resultant matrix inequalities. With the above operations, the new stability criteria are built for the general class of neural networks. The conditions are presented in the form of linear matrix inequalities (LMIs), which can be solved by the numerically efficient Matlab LMI toolbox. Several examples are provided to show that our methods are much less conservative than recently reported ones.

• 出版日期2012-1
• 单位燕山大学; 中国科学院电工研究所