Finite‐time consensus protocol for stochastic multi‐agent systems. Issue 6 (25th March 2019)

• Record Type: Journal Article
• Authors: Chen, Xiurong; Li, Juan; Wu, Ziku; Yu, Jiashang
• Is Part Of: IET control theory & applications. Volume 13:Issue 6(2019)
• Page Start: 755
• Page End: 762
• Publication Date: 2019-03-25
• Subjects: protocols -- multi‐agent systems -- probability -- directed graphs -- stochastic systems; effectively distributed protocols -- stochastic multiagent systems -- convergence time -- finite‐time consensus protocol -- probability -- convergence rate -- undirected connected communication topology -- algebraic connectivity -- protocol parameters; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2018.5218
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : To solve the problem that the frame of finite‐time consensus in probability has not been proposed, this note discusses the finite‐time consensus in probability for stochastic multi‐agent systems. The main contributions exist in (i) a framework for constructing effectively distributed protocols is presented to improve the convergence rate of protocol, which can ensure the finite‐time consensus in probability for stochastic multi‐agent systems under undirected connected communication topology; (ii) the relationship is discussed between the convergence time and the influence factors including the protocol parameters, the algebraic connectivity, and the initial state. Finally, some simulations are performed to verify the effectiveness of the theoretical results.