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Delay-dependent stability analysis for recurrent neural networks with time-varying delays. (English) Zbl 1264.34143

Summary: This paper concerns the problem of delay-dependent stability criteria for recurrent neural networks with time varying delays. By taking more information of states and activation functions as augmented vectors, a new class of the Lyapunov functional is proposed. Then, some less conservative stability criteria are obtained in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are given to illustrate the effectiveness of the proposed method.

MSC:

34K20 Stability theory of functional-differential equations
93D30 Lyapunov and storage functions
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