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Improved result on stability analysis of discrete stochastic neural networks with time delay. (English) Zbl 1228.92004

Summary: This Letter investigates the problem of exponential stability of discrete stochastic time-delay neural networks. By defining a novel Lyapunov functional, an improved delay-dependent exponential stability criterion is established in terms of a linear matrix inequality (LMI) approach. Meanwhile, the computational complexity of the newly established stability condition is reduced because less variables are involved. A numerical example is given to illustrate the effectiveness and the benefits of the proposed method.

MSC:

92B20 Neural networks for/in biological studies, artificial life and related topics
34K20 Stability theory of functional-differential equations
15A45 Miscellaneous inequalities involving matrices
65C20 Probabilistic models, generic numerical methods in probability and statistics
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