一类具马尔科夫链中立型随机神经网络的动力学性质

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

数学季刊 ›› 2018, Vol. 33 ›› Issue (3): 313-323.doi: 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

epartment of Mathematics, Huaiyin Normal University

接受日期:2018-03-16 出版日期:2018-09-30 发布日期:2020-10-08
作者简介: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.
基金资助:
supported by Natural Science Foundation of Jiangsu High Education Institutions of China(Grant No.17KJB110001)；

Dynamic Properties of Neutral Stochastic Differential Equations with Markovian Switching

epartment of Mathematics, Huaiyin Normal University

Accepted:2018-03-16 Online:2018-09-30 Published:2020-10-08
About author: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.
Supported by:
supported by Natural Science Foundation of Jiangsu High Education Institutions of China(Grant No.17KJB110001)；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O211.6

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.

MA Peng-yu, DU Bo. Dynamic Properties of Neutral Stochastic Differential Equations with Markovian Switching[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(3): 313-323.

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一类具马尔科夫链中立型随机神经网络的动力学性质

Dynamic Properties of Neutral Stochastic Differential Equations with Markovian Switching

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