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Stability criteria for BAM neural networks with leakage delays and probabilistic time-varying delays. (English) Zbl 1294.34075
Summary: This paper is concerned with stability criteria for bidirectional associative memory (BAM) neural networks with leakage time delay and probabilistic time-varying delays. By establishing a stochastic variable with Bernoulli distribution, the information of probabilistic time-varying delay is transformed into the deterministic time-varying delay with stochastic parameters. Based on the Lyapunov-Krasovskii functional and stochastic analysis approach, delay-probability-distribution-dependent sufficient conditions are derived to achieve the globally asymptotically mean square stability of the considered BAM neural networks. The criteria are formulated in terms of a set of linear matrix inequalities (LMIs), which can be checked efficiently by use of some standard numerical packages. Finally, a numerical example and its simulations are given to demonstrate the usefulness and effectiveness of the proposed results.

##### MSC:
 34K50 Stochastic functional-differential equations 34K20 Stability theory of functional-differential equations 92B20 Neural networks for/in biological studies, artificial life and related topics
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