Finite time cluster consensus of fractional-order multi-agent systems with directed topology

被引：0

作者：

Liu, Weijin ^{[1
]}

Liu, Xiwei ^{[1
,2
]}

机构：

[1] Tongji Univ, Dept Comp Sci & Technol, Shanghai 201804, Peoples R China

[2] Minist Educ, Key Lab Embedded Syst & Serv Comp, Shanghai 201804, Peoples R China

来源：

PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021) | 2021年

基金：

上海市自然科学基金; 美国国家科学基金会;

关键词：

Fractional-order; Cluster consensus; Exponential finite time; Multi-agent systems; Directed topology; NETWORKS; SYNCHRONIZATION;

D O I：

10.1109/CCDC52312.2021.9601579

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the finite time cluster consensus (FnTCC) of fractional-order multi-agent systems (FOMAS) with directed topology is investigated. The fractional-order system is converted into an integer-order system by defining a neighborhood-based error variable, and suitable control rules are designed for the obtained first-order multi-agent system. According to the exponential finite-time stability theorem, suitable Lyapunov functions are designed. Furthermore, the settling time function is given. Numerical simulation results prove the feasibility and validity of our theory.

引用

页码：5303 / 5308

页数：6

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