带有时滞的离散多智能体系统的H 一致性问题

高玉兰,于俊燕,禹梅

系统科学与数学 ›› 2015, Vol. 35 ›› Issue (3) : 317-326.

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系统科学与数学 ›› 2015, Vol. 35 ›› Issue (3) : 317-326. DOI: 10.12341/jssms12541
论文

带有时滞的离散多智能体系统的H 一致性问题

    高玉兰1,于俊燕1,禹梅2
作者信息 +

\bmH CONSENSUS PROBLEMS FOR DISCRETE-TIME MULTI-AGENT SYSTEMS WITH TIME DELAYS

    GAO Yulan1 , YU Junyan1 , YU Mei2
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摘要

考虑带有时滞的离散多智能体系统的H 一致性问题, 采用增广系统法将原系统 转换成为一个不带时滞的降阶系统. 通过利用李雅普诺夫稳定性理论研究降阶系统的稳定性,得到多智能体系统达到 H一致的线性矩阵不等式形式的条件. 最后,仿真结果验证理论结果的有效性.

Abstract

We investigate an H consensus problem for discrete-time multi-agent systems with external disturbances and time delays. By an augmentation system method as well as a system transformation technique, a reduced-order system without delays is firstly derived. Then based on the reduced-order system, we obtain some conditions in form of linear matrix inequalities (LMIs) guaranteeing the H consensus by using Lyapunov function methods. Finally, simulation results are provided to demonstrate the effectiveness of our theoretical results.

关键词

多智能体系统 / H 一致性 / 时滞 / 增广系统 / 线性矩阵不等式.

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高玉兰 , 于俊燕 , 禹梅. 带有时滞的离散多智能体系统的H 一致性问题. 系统科学与数学, 2015, 35(3): 317-326. https://doi.org/10.12341/jssms12541
GAO Yulan , YU Junyan , YU Mei. \bmH CONSENSUS PROBLEMS FOR DISCRETE-TIME MULTI-AGENT SYSTEMS WITH TIME DELAYS. Journal of Systems Science and Mathematical Sciences, 2015, 35(3): 317-326 https://doi.org/10.12341/jssms12541
中图分类号: 00A69    93D09   
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