文献类型：期刊文献

英文题名：Finite-time group consensus for nonlinear heterogeneous fractional-order multi-agent systems with communication disturbances

作者：Liu, Wei[1];Wang, Mengling[1];Yan, Huaicheng[1,2];Yang, Wen[1]

机构：[1]East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[2]Weifang Univ, Coll Machinery & Automat, Weifang, Peoples R China

年份：2025

卷号：56

期号：6

起止页码：1256

外文期刊名：INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE

收录：;EI(收录号：20244917489054);WOS:【SCI-EXPANDED(收录号:WOS:001368524800001)】；

基金：This work is supported by National Natural Science Foundation of China (62333005) and National Natural Science Foundation of China under Grant (62122026).

语种：英文

外文关键词：Nonlinear multi-agent system; finite-time group consensus; heterogeneous fractional-order system; time-varying disturbances

摘要：This paper studies the finite-time group consensus problem of nonlinear heterogeneous fractional-order multi-agent system (FOMAS) with communication disturbances. Without the inter-group balance condition, a class of distributed control protocols is proposed by combining the information of neighbouring agents and their corresponding group consensus goals. By using the Kronecker product and the LMI technique, a linear FOMAS composed of the group consensus error and communication disturbance variables is obtained to describe the original system. Then, by constructing a suitable fractional-order Lyapunov function, sufficient conditions are presented to analyse the stability of the consensus error system in finite time. Moreover, it provides the upper bound of the convergence time for the group consensus. Finally, simulation examples are presented to demonstrate the effectiveness of the proposed scheme and theoretical results.