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Mean-square Stability in Lagrange Sense for Stochastic Memristive Neural Networks with Leakage Delay

Liangchen Li, Rui Xu*, and Jiazhe Lin
International Journal of Control, Automation, and Systems, vol. 17, no. 8, pp.2145-2158, 2019

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.

Keyword : Lagrange stability, leakage delay, memristive neutral networks, stochastic perturbations.

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