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

被引：0
|
作者：
Imzegouan C. [1 ]
机构：
[1] ISTI Lab, ENSA, PO Box 1136, Agadir
来源：
Intl. J. Dyn. Cont. | / 2卷 / 547-556期
关键词：
Infinite delay; Lyapunov function; Lévy noise; Markov chain; Neural networks; Stochastic stability;
D O I：
10.1007/s40435-018-0451-x
中图分类号：
学科分类号：
摘要：
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. © 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
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页码：547 / 556
页数：9
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