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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.
In this paper, we study the state consistency of high-order discrete-time linear multi-agent systems under the topology of directed switching information.Firstly, the proposed consistency problem is transformed into the asymptotic stability problem of the corresponding discrete-time linear switched systems By means of switching the mean dwell time of the system stability, we obtain the sufficient conditions for the consistency problem to be solved in the following two cases: 1) Part of topology in information topology set is consistent; 2) In information topology set All the information topology is consistent. Finally, the numerical simulation results verify the correctness of the theoretical results.