Lagrange stability for uncertain memristive neural networks with Lévy noise and leakage delay

Liangchen Li, Rui Xu and Jiazhe Lin

Physica A: Statistical Mechanics and its Applications, 2020, vol. 549, issue C

Abstract: In this paper, a class of uncertain memristive neural networks with leakage and time varying transmission delays as well as Lévy noise is studied. Based on the theory of Filippov’s solution, by using Lyapunov–Krasovskii functionals, the free-weighting matrix method and stochastic analysis technique, sufficient criteria in terms of linear matrix inequalities (LMIs) are given to ascertain the subsystems and memristive neural networks to be exponentially mean-square stable in Lagrange sense. Meanwhile the estimations of globally attractive sets are given. Finally, numerical examples are carried out to illustrate the feasibility of theoretical results.

Keywords: Memristive neutral networks; Lévy noise; Lagrange stability; Leakage delay (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:549:y:2020:i:c:s0378437120300194

DOI: 10.1016/j.physa.2020.124167

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