一类具马尔科夫链中立型随机神经网络的动力学性质

马鹏宇, 杜波

doi:10.13371/j.cnki.chin.q.j.m.2018.03.010

数学季刊 >

2018 , Vol. 33 >Issue 3: 313 - 323

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.03.010

一类具马尔科夫链中立型随机神经网络的动力学性质

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epartment of Mathematics, Huaiyin Normal University

MA Peng-yu(1997-), male, native of Nanjing, Jiangsu, undergraduate of Huaiyin Normal University, engages in ordinary di®erential equation; DU Bo(1973-), male, native of Ma Anshan, Anhui, an associate professor Huaiyin Normal University, PHD, engages in ordinary di®erential equation.

录用日期: 2018-03-16

网络出版日期: 2020-10-08

基金资助

supported by Natural Science Foundation of Jiangsu High Education Institutions of China(Grant No.17KJB110001)；

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Dynamic Properties of Neutral Stochastic Differential Equations with Markovian Switching

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epartment of Mathematics, Huaiyin Normal University

Accepted date: 2018-03-16

Online published: 2020-10-08

Supported by

supported by Natural Science Foundation of Jiangsu High Education Institutions of China(Grant No.17KJB110001)；

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摘要

A generalized neutral stochastic functional differential equation(NSFDE) with Markovian switching is studied. We will discuss some important properties of the solutions including boundedness and exponential stability by using Lyapunov-Krasovskii functional,Matrix inequality and some analysis techniques. Finally, an numerical example for neutral stochastic neural networks with Markovian switching is given to show the effectiveness of the results in this paper.

关键词： eutral; It^o formula; Markov chain; Stability

本文引用格式

马鹏宇, 杜波 . 一类具马尔科夫链中立型随机神经网络的动力学性质[J]. 数学季刊, 2018 , 33(3) : 313 -323 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.03.010

Abstract

Key words： eutral; It^o formula; Markov chain; Stability

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