Dynamic Event-Triggered Consensus for Fractional-Order Multi-Agent Systems without Intergroup Balance Condition

Author:

Xu Bingrui1,Li Bing1

Affiliation:

1. School of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, China

Abstract

This paper deals with the problem of group consensus for a fractional-order multi-agent system (FOMAS) without considering the intergroup balance condition. By adopting a dynamic event-triggered mechanism, the updating frequency of control input is significantly reduced while the consensus performance is maintained. By utilizing the Lyapunov direct method and the properties of a fractional-order derivative, several novel criteria are presented for analyzing the Mittag–Leffler stability of error systems and excluding the Zeno behavior in the triggering mechanism. An example and its simulations are demonstrated to prove the validity of the theoretical results.

Funder

National Natural Science Foundation of China

Science and Technology Research Program of Chongqing Municipal Education Commission

Group Building Scientific Innovation Project for universities in Chongqing

Joint Training Base Construction Project for Graduate Students in Chongqing

Research and Innovation Program for Graduate Students in Chongqing

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

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