摘要
研究高阶离散时间线性多智能体系统在有向切换信息拓扑下的状态一致性问题.首先通过提出的线性变换将该一致性问题转换为相应离散时间线性切换系统的渐近稳定性问题.然后借助于切换系统稳定性的平均驻留时间方法,分别得到如下两种情形下该一致性问题可解的充分条件:1)信息拓扑集合中的一部分拓扑是可一致的;2)信息拓扑集合中所有信息拓扑是可一致的.最后通过数值仿真验证了所得理论结果的正确性.
The state consensus problem of high-order discrete-time linear multi-agent system（HDLMAS） under a directed switching information topology is investigated. Firstly, a proper linear transformation is proposed to transform the consensus problem to the asymptotic stability problem of a corresponding discrete-time linear switched system（DLSS）. Then for the following two cases, sufficient conditions for the solvability of the consensus problem are deduced by using the average dwell-time approach of DLSS, respectively： 1） some in a given set of information topologies are consensusable; 2） all in the given set of information topologies are consensusable. Finally, simulation result shows the correctness of the obtained results.
出处
《控制与决策》
EI
CSCD
北大核心
2014年第10期1871-1875,共5页
Control and Decision
基金
国家自然科学基金项目(61079001
61273006)
高等学校博士学科点专项科研基金项目(20111103110017)
国家863计划项目(2011AA110301)
河北省科学技术研究与发展计划项目(10203548D)
河北省科技条件建设项目(11963546D)
河北省科技计划项目(13210807)
关键词
多智能体系统
离散时间系统
有向切换信息拓扑
一致性
平均驻留时间
multi-agentsystems
discrete-timesystems
directed switching information topologies
consensus
averagedwell-time
