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On global stability criterion for neural networks with discrete and distributed delays. (English) Zbl 1142.34378
Summary: Based on the Lyapunov functional stability analysis for differential equations and the linear matrix inequality (LMI) optimization approach, a new delay-dependent criterion for neural networks with discrete and distributed delays is derived to guarantee global asymptotic stability. The criterion is expressed in terms of LMIs, which can be solved easily by various convex optimization algorithms. Some numerical examples are given to show the effectiveness of proposed method.

34K20 Stability theory of functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
34D23 Global stability of solutions to ordinary differential equations
LMI toolbox
Full Text: DOI
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