Robust stability analysis for fuzzy stochastic Hopfield neural networks with time–varying delays

Gopalakrishnan N

doi:10.31801/cfsuasmas.769920

Abstract

This paper investigates the delay-dependent robust stability problem of fuzzy stochastic Hopfield neural networks with random timevarying delays. Moreover, in this paper, the stochastic delay is assumed to satisfy a certain probability distribution. By introducing a stochastic variable with Bernoulli distribution, the neural networks with random time delays is transformed into one with deterministic delays and stochastic parameters. Based on a LyapunovKrasovskii functional and stochastic analysis approach, delay-probability-distribution-dependent stability criteria have been derived in terms of linear matrix inequalities (LMIs), which can be checked easily by the LMI control toolbox. Finally two numerical examples are given to illustrate the effectiveness of the theoretical results.

Highlights

In recent decades, Neural Networks (NNs) especially recurrent neural networks (RNNs) and Hop...eld neural networks (HNNs) have been successfully applied in various ...elds such as pattern recognition, optimization problems, associative memories, signal processing, etc., see [1] - [18]
This paper investigates delay-dependent robust stability problem of fuzzy stochastic Hop...eld neural networks with random time-varying delays
Based on the above discussion, we consider the problem of delay-dependent robust stability analysis for uncertain fuzzy stochastic Hop...eld neural networks with time-varying delays

Summary

Introduction

Neural Networks (NNs) especially recurrent neural networks (RNNs) and Hop...eld neural networks (HNNs) have been successfully applied in various ...elds such as pattern recognition, optimization problems, associative memories, signal processing, etc., see [1] - [18]. Hop...eld neural networks, stochastic system, linear matrix inequality, time-varying delays Submitted via ICCSPAM 2020. The stability analysis of stochastic systems with time delays has been investigated by many researchers since stochastic modelling plays an important role in many ...elds of science and engineering applications [8,9,10,11,12,13,14,15,16]. Based on the above discussion, we consider the problem of delay-dependent robust stability analysis for uncertain fuzzy stochastic Hop...eld neural networks with time-varying delays. Notations: Throughout this paper, Rn and Rn n denote, respectively, the ndimensional Euclidean space and the set of all n n real matrices.

Problem description and preliminaries

Main Results

Numerical Examples

Conclusion