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<p>This paper centers on addressing the mean-square group consensus for a heterogeneous multi-agent system that encompasses both second-order linear and nonlinear systems, within the context of a Markov switching topology. First, we examine the issue of mean-square consensus within the Markov switching topology. Based on this foundation, we delve into the mean-square group consensus problem for heterogeneous system, both with and without input constraints. And design the related control protocol, using Graph theory and Lyapunov principle to prove. Finally, several simulation examples are presented to demonstrate the efficacy of our proposed control protocol.</p>

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Mean-Square Group Consensus for Heterogeneous Multi-agent Systems with Input Constraints Under Markov Switching Topology

  • 期刊论文

  • 发表日期：

    2025年6月14日

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  • Conghui Du,
  • Xisheng Zhan,
  • Qingsheng Yang,
  • Lingli Cheng,
  • Bo Wu

摘要

This paper centers on addressing the mean-square group consensus for a heterogeneous multi-agent system that encompasses both second-order linear and nonlinear systems, within the context of a Markov switching topology. First, we examine the issue of mean-square consensus within the Markov switching topology. Based on this foundation, we delve into the mean-square group consensus problem for heterogeneous system, both with and without input constraints. And design the related control protocol, using Graph theory and Lyapunov principle to prove. Finally, several simulation examples are presented to demonstrate the efficacy of our proposed control protocol.