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Stability for Markovian switching stochastic neural networks with infinite delay driven by Lévy noise

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Abstract

This paper is concerned with stability analysis for a kind of Markovian switching stochastic neutral networks with infinite delay driven by Lévy noise. Existence, uniqueness, stochastic stability and global stochastic stability are established under some new conditions basing on Lyapunov method, stochastic analysis technique and M-matrix theory. Our results generalizes some existing ones. Two numerical examples are provided to illustrate the usefulness of the theoretical theorems.

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Authors and Affiliations

  1. ISTI Lab, ENSA, PO Box 1136, Agadir, Morocco

    Chafai Imzegouan

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  1. Chafai Imzegouan
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Correspondence to Chafai Imzegouan.

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Imzegouan, C. Stability for Markovian switching stochastic neural networks with infinite delay driven by Lévy noise. Int. J. Dynam. Control 7, 547–556 (2019). https://doi.org/10.1007/s40435-018-0451-x

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  • DOI: https://doi.org/10.1007/s40435-018-0451-x

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