Fixed-Time Cluster Consensus for Multi-Agent Systems with Objective Optimization on Directed Networks

作     者：DUAN Suna YU Zhiyong JIANG Haijun OUYANG Deqiang DUAN Suna;YU Zhiyong;JIANG Haijun;OUYANG Deqiang

作者机构：College of Mathematics and System SciencesXinjiang UniversityUrumqi830017China Department of MathematicsThe University of Hong KongHong Kong999077China 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2023年第36卷第6期

页      面：2325-2343页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported in part by the Natural Science Foundation of Xinjiang Uygur Autonomous Region under Grant No.2023D01C162 in part by the National Natural Science Foundation of China under Grant Nos.62003289 and 62163035 in part by the China Postdoctoral Science Foundation under Grant No.2021M690400 in part by the Special Project for Local Science and Technology Development Guided by the Central Government under Grant No.ZYYD2022A05 

主　　题：Cluster consensus directed and detail balanced network multi-agent systems(MASs) objective optimization 

摘      要：This paper studies the cluster consensus of multi-agent systems(MASs)with objective optimization on directed and detail balanced networks,in which the global optimization objective function is a linear combination of local objective functions of all ***,a directed and detail balanced network is constructed that depends on the weights of the global objective function,and two kinds of novel continuous-time optimization algorithms are proposed based on time-invariant and timevarying objective ***,by using fixed-time stability theory and convex optimization theory,some sufficient conditions are obtained to ensure that all agents states reach cluster consensus within a fixed-time,and asymptotically converge to the optimal solution of the global objective ***,two examples are presented to show the efficacy of the theoretical results.