多智能体系统的聚类-分量一致性  

Cluster-component consensus of the multi-agent systems

作　　者：陈慧芳 马忠军[1] CHEN Huifang;MA Zhongjun(School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin 541004,China)

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2020年第3期235-239,共5页Journal of Guilin University of Electronic Technology

基　　金：国家自然科学基金(11562006,61663006);广西自然科学基金(2016GXNSFDA380031)。

摘　　要：为研究多智能体系统的聚类一致性动力学行为,建立了一阶非线性多智能体系统的模型。通过引进相应的控制协议,讨论了相应误差系统零解的渐近稳定性以及零解关于部分変元的稳定性,得出系统达到实现聚类-分量一致性的充分条件。最后实例验证了理论结果的可行性。The definition on cluster-component consensus in a multi-agent system is given in the light of partial component consensus and cluster consensus,and it is helpful to better understand the dynamic behavior of cluster consensus in multi-agent systems。At first,define the cluster-partial component consensus,and then establish a model to investigate the problem of cluster-partial component consensus in the first-order multi-agent system。By proposing a control algorithm and establishing the corresponding error system,the consensus in the multi-agent system is converted into the stability of the error system。Based on the matrix theory,graph theory and the related knowledge of stability theory,the asymptotic stability and partial component stability of zero solution in the error system are discussed,and accordingly,a sufficient condition is presented to achieve cluster-component consensus in multi-agent systems。Finally,numerical simulations are given to show the validity of results。

关 键 词：多智能体系统 聚类一致性 部分分量一致性 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]