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

作　　者：DUAN Suna YU Zhiyong JIANG Haijun OUYANG Deqiang 

机构地区：[1]College of Mathematics and System Sciences,Xinjiang University,Urumqi,830017,China [2]Department of Mathematics,The University of Hong Kong,Hong Kong,999077,China

出　　处：《Journal of Systems Science & Complexity》2023年第6期2325-2343,共19页系统科学与复杂性学报（英文版）

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。

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 agents.Firstly,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 functions.Secondly,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 function.Finally,two examples are presented to show the efficacy of the theoretical results.

关 键 词：Cluster consensus directed and detail balanced network multi-agent systems(MASs) objective optimization 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]