Consensus stability analysis for stochastic multi-agent systems with multiplicative measurement noises and Markovian switching topologies

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/naco.2021024

Xiaojin Huang, Hongfu Yang, Jianhua Huang

引用次数: 0

Abstract

We investigate the consensus stability for linear stochastic multi-agent systems with multiplicative noises and Markovian random graphs and investigate the asymptotic consensus in the mean square sense for the systems. To establish the consensus stability for the systems, we analysis the consensus error systems by developing general stochastic differential equation with jumps, matrix theory and algebraic graph theory, and then show that the error consensus in the mean square sense finally tending to zero as time goes on is determined by the strongly connected property of union of topologies. Finally, we provide an example to demonstrate the effectiveness of our theoretical results.

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具有乘性测量噪声和马尔可夫切换拓扑的随机多智能体系统的一致性稳定性分析

研究了具有乘性噪声和马尔可夫随机图的线性随机多智能体系统的一致性稳定性，并研究了系统在均方意义上的渐近一致性。为了建立系统的一致性稳定性，利用一般跳跃随机微分方程、矩阵理论和代数图理论对一致性误差系统进行了分析，并证明了误差一致性在均方意义上随着时间的推移最终趋于零是由拓扑并的强连通性质决定的。最后，通过实例验证了理论结果的有效性。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.