具有脉冲效应和随机扰动的Markov跳跃主从多智能体系统固定时间一致

夏孟瑶; 蒋海军; 于志永

doi:10.13568/j.cnki.651094.651316.2021.02.24.0001

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具有脉冲效应和随机扰动的Markov跳跃主从多智能体系统固定时间一致

更新时间：2026-01-21

- 具有脉冲效应和随机扰动的Markov跳跃主从多智能体系统固定时间一致
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 39, Issue 2, Pages: 144-150(2022)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.651316.2021.02.24.0001
  CLC： TP13
- Published：2022
- 稿件说明：
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[1]夏孟瑶,蒋海军,于志永.具有脉冲效应和随机扰动的Markov跳跃主从多智能体系统固定时间一致[J].新疆大学学报(自然科学版)(中英文),2022,39(02):144-150+196.
[1]夏孟瑶,蒋海军,于志永.具有脉冲效应和随机扰动的Markov跳跃主从多智能体系统固定时间一致[J].新疆大学学报(自然科学版)(中英文),2022,39(02):144-150+196. DOI： 10.13568/j.cnki.651094.651316.2021.02.24.0001.

DOI：10.13568/j.cnki.651094.651316.2021.02.24.0001.

摘要

本文研究了一类具有脉冲效应和随机扰动的Markov跳跃主从多智能体系统固定时间一致性问题.首先

提出了一种具有脉冲效应的切换状态反馈非线性控制协议

以实现多智能体系统达成一致；其次

通过利用随机分析理论

Lyapunov稳定性理论

得到了保证主从多智能体系统在固定时间内达到一致的充分条件；最后

数值算例验证了理论结果的正确性.

Abstract

This paper proposes a theoretical framework to study the fixed-time leader-following consensus problem for a class of Markovian jumping stochastic multi-agent systems(MASs). State feedback switching nonlinear control protocols with impulsive effects is presented to achieve the leader-following MASs consensus. And by employing stochastic analysis theory

Lyapunov stability theory

the sufficient criterion is derived to guaranteed fixed-time leader-following consensus. Moreover

the settling time is calculated as well. Finally

one example is provided to show the effectiveness of the theoretical analysis.

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references

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