Consensus of heterogeneous discrete‐time multi‐agent systems with noise over Markov switching topologies. (19th December 2020)

• Record Type: Journal Article
• Authors: Sun, Fenglan; Lei, Chengyu; Kurths, Jürgen
• Is Part Of: International journal of robust and nonlinear control. Volume 31:Number 5(2021)
• Page Start: 1530
• Page End: 1541
• Publication Date: 2020-12-19
• Subjects: heterogeneous multi‐agent systems -- Markov switching topologies -- mean‐square bounded consensus -- noise; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5360
• Languages: English
• ISSNs: 1049-8923

Abstract

Abstract: This paper considers the mean‐square bounded consensus of heterogeneous discrete‐time multi‐agent systems with noise over fixed and Markov switching topologies. Firstly, a protocol is designed based on the agents' neighbor information with noise. Secondly, by using the Lyapunov function method, matrix analysis and probability theory, sufficient conditions for the mean‐square bounded consensus are given. Finally, several simulations are presented to illustrate the potential correctness of the results.