Stochastic stability of fuzzy Markovian jump neural networks by multiple integral approach

Abstract

Purpose

The purpose of this paper is to develop a methodology for the stochastically asymptotic stability of fuzzy Markovian jumping neural networks with time-varying delay and continuously distributed delay in mean square.

Design/methodology/approach

The authors perform Briat Lemma, multiple integral approach and linear convex combination technique to investigate a class of fuzzy Markovian jumping neural networks with time-varying delay and continuously distributed delay. New sufficient criterion is established by linear matrix inequalities conditions.

Findings

It turns out that the obtained methods are easy to be verified and result in less conservative conditions than the existing literature. Two examples show the effectiveness of the proposed results.

Originality/value

The novelty of the proposed approach lies in establishing a new Wirtinger-based integral inequality and the use of the Lyapunov functional method, Briat Lemma, multiple integral approach and linear convex combination technique for stochastically asymptotic stability of fuzzy Markovian jumping neural networks with time-varying delay and continuously distributed delay in mean square.

Citation

Zheng, C.-D. (2018), "Stochastic stability of fuzzy Markovian jump neural networks by multiple integral approach", International Journal of Intelligent Computing and Cybernetics, Vol. 11 No. 1, pp. 81-105. https://doi.org/10.1108/IJICC-11-2016-0046