Sampled-data bipartite containment control over a network of wave equations  

作　　者：Yining CHEN Zhiqiang ZUO Yijing WANG 

机构地区：[1]School of Artificial Intelligence,Tiangong University,Tianjin 300387,China [2]Tianjin Key Laboratory of Process Measurement and Control,School of Electrical and Information Engineering,Tianjin University,Tianjin 300072,China

出　　处：《Science China(Information Sciences)》2023年第9期17-30,共14页中国科学（信息科学）（英文版）

基　　金：National Natural Science Foundation of China(Grant Nos.62173243,61933014,62203327)。

摘　　要：This paper studies the bipartite containment control problem for a network of wave equations.A distributed sampled-data control protocol is proposed such that the follower states converge to a convex hull spanned by the leader trajectories and their opposites.A criterion for bipartite containment control is derived by applying the constructed Lyapunov-Krasovskii functional.The well-posedness of the closedloop system is verified using the semigroup and induction methods.Furthermore,the effectiveness of the theoretical results is demonstrated through numerical examples.

关 键 词：bipartite containment control sampled-data control multi-agent system partial differential equation 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]