具有时延和不确定拓扑的二阶多智能体系统的平均一致性(英文)  

Average consensus of second-order multi-agent systems with time-delays and uncertain topologies

作　　者：宋莉[1] 伍清河[1] 

机构地区：[1]北京理工大学自动化学院,北京100081

出　　处：《控制理论与应用》2013年第8期1047-1052,共6页Control Theory & Applications

基　　金：supported by the National Natural Science Foundation of China(No.61074031)

摘　　要：首先,通过模型变换的方法将原系统分解为多个简单的子系统;然后,利用Lyapunov-Krasovskii的方法,以线性矩阵不等式的形式给出了带有多时变时滞的二阶多智能体系统达到平均一致性的充分条件,且只要求其通讯拓扑结构是联合连通的.最后,用仿真实验验证了本理论的正确性和有效性.First, by employing variable substitution method, the original system is decomposed into several subsystems, and then based on the Lyapunov-Krasovskii approach, some sufficient conditions in terms of linear matrix inequalities （LIMs） are given for average consensus of the second-order multi-agent systems with time-varying delays. The communication topologies between the agents only need to be jointly-connected. Finally, simulation results are provided to prove the effectiveness of the theoretical results.

关 键 词：平均一致性 多时变时滞 不确定性拓扑 联合连通 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]