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

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  • Li, Liangchen
  • Xu, Rui
  • Lin, Jiazhe

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.

Suggested Citation

  • Li, Liangchen & Xu, Rui & Lin, Jiazhe, 2020. "Lagrange stability for uncertain memristive neural networks with Lévy noise and leakage delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    • Handle: RePEc:eee:phsmap:v:549:y:2020:i:c:s0378437120300194
    DOI: 10.1016/j.physa.2020.124167
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    References listed on IDEAS

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