Bipartite synchronization of discrete-time networks with antagonistic interactions via hybrid control

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2022-10-08 DOI:10.1093/imamci/dnac022

Xiaomei Zhang, Lin He, Lei Zhou, Suying Sheng

引用次数: 0

Abstract

The problem of bipartite synchronization is addressed for discrete-time networks with antagonistic interactions via hybrid control with impulsive effects. Firstly, a hybrid state-feedback controller, which combines a pinning state-feedback controller and an impulsive state-feedback controller, is presented, and the criterion of the bipartite synchronization is derived by applying the average impulsive interval method. Secondly, for the case of the network states not all being measured, a hybrid measurement-feedback controller, which combines a pinning measurement-feedback controller and a pinning impulsive measurement-feedback controller, is proposed. The time-varying Lyapunov function method is utilized to design the hybrid measurement-feedback controller such that the bipartite synchronization is realized. Finally, some numerical simulations are performed to illustrate the efficiency of the proposed controller design methods.

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基于混合控制的具有对抗相互作用的离散时间网络的二部同步

通过脉冲混合控制，解决了具有对抗相互作用的离散网络的二部同步问题。首先，提出了一种混合状态反馈控制器，该控制器结合了固定状态反馈控制器和脉冲状态反馈控制器，并利用平均脉冲区间法推导了二部同步的判据。其次，针对网络状态不全被测量的情况，提出了一种结合钉住式测量反馈控制器和钉住式脉冲测量反馈控制器的混合测量反馈控制器。利用时变李雅普诺夫函数方法设计了测量反馈混合控制器，实现了二部同步。最后，通过数值仿真验证了所提控制器设计方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

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