Average consensus stability analysis for stochastic multi-agent systems with compound noises under Markovian switching topologies

Miskolc Mathematical Notes

article

Xiaojin Huang¹  Yongjian Liu²  Jianhua Huang¹ 

[1] National University of Defense Technology, College of Liberal Arts and Sciences;Yulin Normal University, School of Mathematics and Statistics

关键词: multi-agent systems;    stochastic systems;    average consensus;    Markov switchings;    compound noises;   

DOI  :  10.18514/MMN.2023.3835

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

In this paper, a new class of multi-agent systems with addictive and multiplicative measurement noises under Markovian switching topologies is introduced. Some sufficient conditions of average consensus to the systems are also established under consideration. First, based on the continuous-time Markov chain with finite modes, the time-varying topologies of the considering system is figured. Then, the mean square average consensus for the multi-agent systems with a time-varying gain under the time-varying topologies and the Markov chain is studied. Finally, the example and simulation results are given to illustrate the effectiveness of the obtained theoretical results.

【 授权许可】

CC BY