复杂系统与复杂性科学 Complex Systems and Complexity Science ISSN 1672-3813,CN 37-1402/N 马尔可夫 过程的转移速率与驻留时间分布函数相关性质和 Lyapunov 稳定性理论,设计合适的脉冲控制协议,给出了 系统实现均方一致性的充分条件。条件表明,若脉冲间隔具有某一上界,均方一致性仍可实现。最后,数 值仿真验证了结果的有效性。 关键词:多智能体系统;半马尔可夫过程;脉冲控制;均方一致性 中图分类号:TP13 文献标识码:A
Mean-square Consensus of Semi-Markov Stochastic MAS via Impulsive Control Feng Wandian, Peng Shiguo, Zeng Zixian (School of Automation, Guangdong University of Technology, Guangzhou 510006, China) Abstract: Considering that the system structure of multi-agent system will change randomly due to obstacles or external disturbances, based on the assumption that the switching signal obeys the semi-Markov process, in this paper, we discuss the mean-square consensus of a class of leader-following stochastic multi-agent systems. By employing the properties of the transition rate and the distribution function of the dwell time of semi-Markov process, Lyapunov stability theory, sufficient conditions for the considered sys