Chaotic synchronization of neuronet-type stochastic complex networks using decentralized differential minimax controllers

IF 2.4 4区计算机科学 Q2 COMPUTER SCIENCE, THEORY & METHODS

International Journal of General Systems Pub Date : 2022-08-22 DOI:10.1080/03081079.2022.2104269

Ziqian Liu

引用次数: 0

Abstract

ABSTRACT Based on differential minimax control, this paper develops a novel theoretic design to achieve chaotic synchronization of neuronet-type stochastic complex networks that are heavily influenced by noise signals. According to robust inverse optimality, the proposed method is mathematically formulated by using stochastic Lyapunov technique and the associated Hamilton-Jacobi-Isaacs (HJI) equation, which ensures that the system accomplishes the best rational synchronization in probability, meanwhile, to reduce noises to a predefined level with stability margins. To verify analytical results, a numerical example is given to show the effectiveness of the proposed technique.

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基于分散微分极大极小控制器的神经元型随机复杂网络混沌同步

基于微分极大极小控制，提出了一种新的理论设计，用于实现受噪声影响较大的神经元型随机复杂网络的混沌同步。根据鲁棒逆最优性，采用随机Lyapunov技术和相关的Hamilton-Jacobi-Isaacs (HJI)方程建立了该方法，保证了系统在概率上实现最佳合理同步，同时将噪声降低到具有稳定裕度的预定水平。为了验证分析结果，给出了一个数值算例，说明了该方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of General Systems 工程技术-计算机：理论方法

CiteScore

4.10

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： International Journal of General Systems is a periodical devoted primarily to the publication of original research contributions to system science, basic as well as applied. However, relevant survey articles, invited book reviews, bibliographies, and letters to the editor are also published. The principal aim of the journal is to promote original systems ideas (concepts, principles, methods, theoretical or experimental results, etc.) that are broadly applicable to various kinds of systems. The term “general system” in the name of the journal is intended to indicate this aim–the orientation to systems ideas that have a general applicability. Typical subject areas covered by the journal include: uncertainty and randomness; fuzziness and imprecision; information; complexity; inductive and deductive reasoning about systems; learning; systems analysis and design; and theoretical as well as experimental knowledge regarding various categories of systems. Submitted research must be well presented and must clearly state the contribution and novelty. Manuscripts dealing with particular kinds of systems which lack general applicability across a broad range of systems should be sent to journals specializing in the respective topics.