Robust mean square stability of delayed stochastic generalized uncertain impulsive reaction-diffusion neural networks

Suriguga Mongolian; Yonggui Kao; Changhong Wang; Hongwei Xia

doi:10.1016/j.jfranklin.2020.04.011

Robust mean square stability of delayed stochastic generalized uncertain impulsive reaction-diffusion neural networks

Suriguga Mongolian
, Yonggui Kao^*
, Changhong Wang
, Hongwei Xia

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology Weihai
Linyi University

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

This article is dedicated to the investigation of the stability problem of delayed stochastic generalized uncertain impulsive reaction-diffusion neural networks (SGUIRDNNs). Applying Lyapunov second method, several new robust mean square stability criteria on the equilibrium point of the delayed SGUIRDNNs are derived in terms of linear matrix inequalities (LMIs). At last, we provide a numerical example to verify the validity of our findings.

Original language	English
Pages (from-to)	877-894
Number of pages	18
Journal	Journal of the Franklin Institute
Volume	358
Issue number	1
DOIs	https://doi.org/10.1016/j.jfranklin.2020.04.011
State	Published - Jan 2021

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10.1016/j.jfranklin.2020.04.011

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title = "Robust mean square stability of delayed stochastic generalized uncertain impulsive reaction-diffusion neural networks",

abstract = "This article is dedicated to the investigation of the stability problem of delayed stochastic generalized uncertain impulsive reaction-diffusion neural networks (SGUIRDNNs). Applying Lyapunov second method, several new robust mean square stability criteria on the equilibrium point of the delayed SGUIRDNNs are derived in terms of linear matrix inequalities (LMIs). At last, we provide a numerical example to verify the validity of our findings.",

author = "Suriguga Mongolian and Yonggui Kao and Changhong Wang and Hongwei Xia",

note = "Publisher Copyright: {\textcopyright} 2020 The Franklin Institute",

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AU - Kao, Yonggui

AU - Wang, Changhong

AU - Xia, Hongwei

PY - 2021/1

Y1 - 2021/1

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AB - This article is dedicated to the investigation of the stability problem of delayed stochastic generalized uncertain impulsive reaction-diffusion neural networks (SGUIRDNNs). Applying Lyapunov second method, several new robust mean square stability criteria on the equilibrium point of the delayed SGUIRDNNs are derived in terms of linear matrix inequalities (LMIs). At last, we provide a numerical example to verify the validity of our findings.

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SP - 877

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Robust mean square stability of delayed stochastic generalized uncertain impulsive reaction-diffusion neural networks

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