具有布朗运动的非局部时空离散分流抑制性细胞神经网络的分布式几乎周期序列的均方指数稳定性

Huan Luo, Tianwei Zhang
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引用次数: 0

摘要

首次建立了具有反应扩散的随机非局部分流抑制性细胞神经网络的离散时间和离散空间模型。由于考虑了空间变量,本文推导的离散模型比传统的普通差分模型更为复杂。根据离散时间和离散空间模型的恒变公式、巴拿赫收缩映射原理、矛盾证明方法和随机微积分学,我们还得到了离散模型存在唯一有界的几乎周期序列,该序列在均方意义上是指数稳定的。注意到这是首次考虑时空离散神经网络模型分布中几乎周期性的动力学问题。本结果的实用性通过一个例子得到了证明。
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Mean-squared exponential stability of distributed almost periodic sequence for nonlocal space-time discrete shunting inhibitory cellular neural networks with Brownian motions
The discrete-time and discrete-space model for stochastic nonlocal shunting inhibitory cellular neural networks with reaction diffusions are modelled in the first time. Owing to the consideration of spatial variables, the discrete model derived in this article is more complex than the traditional ordinary difference model. In accordance with the constant-variation-formula for discrete-time and discrete-space model, Banach contracting mapping principle, the method of proof by contradiction and stochastic calculus, we also obtain the existence of a unique bounded almost periodic sequence for the discrete model, which is exponentially stable in the mean-square sense. Noting that it is the first time to consider the dynamics of almost periodicity in distribution of time-space discrete neural network models. The practicability of the present results is demonstrated by means of an illustration.
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来源期刊
CiteScore
3.50
自引率
18.80%
发文量
99
审稿时长
4.2 months
期刊介绍: Systems and control studies provide a unifying framework for a wide range of engineering disciplines and industrial applications. The Journal of Systems and Control Engineering refleSystems and control studies provide a unifying framework for a wide range of engineering disciplines and industrial applications. The Journal of Systems and Control Engineering reflects this diversity by giving prominence to experimental application and industrial studies. "It is clear from the feedback we receive that the Journal is now recognised as one of the leaders in its field. We are particularly interested in highlighting experimental applications and industrial studies, but also new theoretical developments which are likely to provide the foundation for future applications. In 2009, we launched a new Series of "Forward Look" papers written by leading researchers and practitioners. These short articles are intended to be provocative and help to set the agenda for future developments. We continue to strive for fast decision times and minimum delays in the production processes." Professor Cliff Burrows - University of Bath, UK This journal is a member of the Committee on Publication Ethics (COPE).cts this diversity by giving prominence to experimental application and industrial studies.
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