Abstract

In this paper, a class of stochastic memristive neural networks with leakage delay, discrete and distribute transmission delays is investigated. Based on the theory of Filippov’s solution, by using Lyapunov-Krasovskii functionals, the free-weighting matrix method and stochastic analysis technique, a sufficient criterion in terms of linear matrix inequalities (LMIs) is given to ascertain the network to be exponentially Lagrange stable in mean square sense, which can be easily checked via MATLAB. Meanwhile the estimation of globally attractive set is given. Finally, numerical simulations are carried out to illustrate the feasibility of theoretical results.

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