异质非线性分数阶多智能体系统的预设时间二部一致性跟踪

doi:10.12341/jssms22310

系统科学与数学 ›› 2022, Vol. 42 ›› Issue (11): 2874-2885.DOI: 10.12341/jssms22310

• • 上一篇

异质非线性分数阶多智能体系统的预设时间二部一致性跟踪

龚平¹, 汪坤²

1. 广东外语外贸大学数学与统计学院, 广州 510006;
2. 广州大学数学与信息科学学院, 广州 510006

收稿日期:2022-04-27 修回日期:2022-07-25 发布日期:2022-12-13
通讯作者: 龚平, Email: gongping@gdufs.edu.cn
基金资助:
国家自然科学基金项目(62003142), 广东省基础与应用基础研究基金项目(2020A1515110965)资助课题.

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龚平, 汪坤. 异质非线性分数阶多智能体系统的预设时间二部一致性跟踪[J]. 系统科学与数学, 2022, 42(11): 2874-2885.

GONG Ping, WANG Kun. Preset-Time Bipartite Consensus Tracking of Heterogeneous Nonlinear Fractional-Order Multi-Agent Systems[J]. Journal of Systems Science and Mathematical Sciences, 2022, 42(11): 2874-2885.

Preset-Time Bipartite Consensus Tracking of Heterogeneous Nonlinear Fractional-Order Multi-Agent Systems

GONG Ping¹, WANG Kun²

1. School of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou 510006;
2. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006)

Received:2022-04-27 Revised:2022-07-25 Published:2022-12-13

文章关注一类具有符号有向图的异质非线性分数阶多智能体系统的预设时间二部一致性跟踪问题.通过引入一类具有广义性质的时变函数,设计了一类基于时变函数的预设时间分布式控制器,以一种完全分布式的方式分别实现了异质线性和异质非线性分数阶多智能体系统的精确预设时间二部一致性跟踪.该预设时间可以通过时变函数预先设定, 且不依赖于任何初始值和参数.最后, 用实例验证了理论结果的有效性.

关键词： 分数阶多智能体系统, 二部一致性跟踪问题, 预设时间, 异质非线性动态

This paper focuses on the preset-time bipartite consensus tracking problem of a class of heterogeneous nonlinear fractional-order multi-agent systems with signed directed graphs. By introducing a class of time-varying functions with generalized properties, a time-varying function based preset-time distributed controller is designed to achieve accurate preset-time bipartite consensus tracking in a fully distributed fashion for the heterogeneous linear and heterogeneous nonlinear fractional-order multi-agent systems, respectively. The preset time can be preset by a time-varying function, and does not depend on any initial values and parameters. Finally, one example is given to verify the effectiveness of the theoretical results.

Key words: Fractional-order multi-agent systems, bipartite consensus tracking problem, preset-time, heterogeneous nonlinear dynamics

MR(2010)主题分类:

93C10
68T05

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