Consensus for discrete-time second-order multi-agent systems in the presence of noises and semi-Markovian switching topologies

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2024-10-10 DOI:10.1016/j.ejcon.2024.101124

Xiaojin Huang , Yongjian Liu , Jianhua Huang

引用次数: 0

Abstract

In this paper, we focus on the control problem of mean square consensus for second-order continuous-time multi-agent systems with multiplicative noises under Markovian switching topologies. A new Lyapunov function based on the Laplacian matrix of the corresponding union topology of all possible topologies is designed for the stochastic stability analysis of consensus. Applying matrix theory and stochastic stability for stochastic differential equations, we can analyze the consensus problem of the considered systems with the designed Lyapunov function. In addition, we present the sufficient conditions of the mean square consensus exponentially for the considered stochastic systems. Finally, we give an simulation example to numerically validate our theoretical results.

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存在噪声和半马尔可夫切换拓扑的离散-时间二阶多代理系统的共识

本文重点研究了马尔可夫切换拓扑下具有乘法噪声的二阶连续时间多代理系统的均方共识控制问题。基于所有可能拓扑的相应联合拓扑的拉普拉斯矩阵，设计了一种新的 Lyapunov 函数，用于共识的随机稳定性分析。应用矩阵理论和随机微分方程的随机稳定性，我们可以用设计的 Lyapunov 函数分析所考虑系统的共识问题。此外，我们还提出了所考虑的随机系统指数均方共识的充分条件。最后，我们给出了一个仿真实例，从数值上验证了我们的理论结果。

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

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.