Multi-leader-follower group consensus of stochastic time-delay multi-agent systems subject to Markov switching topology

Mathematical Biosciences and Engineering

Tong Guo¹  Jianping Zhou¹  Cancan Zhou¹  Jing Han² 

[1] 1. School of Computer Science & Technology, Anhui University of Technology, Ma'anshan 243032, China;2. School of Electronical Information Engineering, Wanjiang University of Technology, Ma'anshan 243031, China;

关键词: multi leaders;    markov switching;    time delay;    group consensus;   

DOI  :  10.3934/mbe.2022353

来源: DOAJ

【 摘 要 】

The multi-leader-follower group consensus issue of a class of stochastic time-delay multi-agent systems subject to Markov switching topology is investigated. The purpose is to determine a distributed control protocol to make sure that the followers' states converge in mean square to a convex hull generated by the leaders' states. Through a model transformation, the problem is transformed into a mean-square stability issue of a new system. Then, an easy-to-check sufficient condition for the solvability of the multi-leader-follower group consensus issue is proposed by utilizing the Lyapunov stability theory, graph theory, as well as several inequality techniques. It is shown that the required feedback gain can be acquired once the condition is satisfied. Finally, an example is used to illustrate the effectiveness of the control protocol.

【 授权许可】

Unknown