New stability criteria for neural networks with time-varying delays

Abstract 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.

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