Self-triggered control for approximate synchronization of singular logical networks

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Nonlinear Analysis-Hybrid Systems Pub Date : 2024-07-30 DOI:10.1016/j.nahs.2024.101531

Qiliang Zhang , Yongyuan Yu , Jun-e Feng

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Abstract

This paper investigates the approximate synchronization of singular logical networks (SLNs) using algebraic representations. Different from complete synchronization, which requires the state trajectories of the drive-response SLNs to be completely consistent after a finite time, approximate synchronization allows for admissible errors between the state trajectories of the drive-response SLNs. A definition of approximate synchronization for SLNs is proposed. By analyzing the constructed admissible matrices, the solvability of SLNs is discussed. A criterion is provided for the approximate synchronization of SLNs. Self-triggered control is then introduced to address the approximate synchronization of SLNs. Based on this, an algorithm is presented to design the self-triggered state feedback control of approximate synchronization. The method presented in this paper can significantly reduce updating frequencies of controllers. Finally, obtained theoretical results are illustrated through a genetic regulatory network.

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奇异逻辑网络近似同步的自触发控制

本文利用代数表示法研究奇异逻辑网络（SLN）的近似同步问题。完全同步要求驱动-响应 SLN 的状态轨迹在有限时间后完全一致，而近似同步则不同，它允许驱动-响应 SLN 的状态轨迹之间存在可接受的误差。本文提出了 SLN 近似同步的定义。通过分析构建的可容许矩阵，讨论了 SLN 的可解性。为 SLN 的近似同步提供了一个标准。然后引入自触发控制来解决 SLN 的近似同步问题。在此基础上，提出了设计近似同步的自触发状态反馈控制的算法。本文提出的方法可以显著降低控制器的更新频率。最后，本文通过遗传调控网络说明了所获得的理论结果。

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来源期刊

Nonlinear Analysis-Hybrid Systems AUTOMATION & CONTROL SYSTEMS-MATHEMATICS, APPLIED

CiteScore

8.30

自引率

9.50%

发文量

审稿时长

>12 weeks

期刊介绍： Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.