Consensus of time-delay finite-field networks via set stability of block logical dynamical systems

IF 4.2 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-10 DOI:10.1016/j.jfranklin.2025.108049

Mengyuan Qin, Haitao Li

引用次数: 0

Abstract

The aim of this paper is to solve the consensus problem of time-delay finite-field networks (TDFFNs), which is achieved by the set stability of block logical dynamical systems (BLDSs). Firstly, a necessary and sufficient condition is presented for the set stability of BLDSs through the construction of all attractors. Secondly, the dynamics of TDFFNs is converted to the form of BLDSs, and it is shown that the consensus of TDFFNs is equivalent to the set stability of the corresponding BLDSs. Thirdly, a verifiable criterion is proposed for the consensus of TDFFNs. Finally, the validity of the results is demonstrated by two concrete numerical examples.

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基于块逻辑动力系统集稳定性的时滞有限域网络的一致性

本文的目的是解决时延有限域网络（tdffn）的一致性问题，该问题是通过块逻辑动力系统（blds）的集稳定性来实现的。首先，通过构造所有吸引子，给出了blds集稳定的充分必要条件。其次，将tdffn的动力学转化为blds的形式，并证明了tdffn的一致性等价于相应blds的集稳定性。第三，提出了tdffn一致性的可验证准则。最后，通过两个具体的数值算例验证了所得结果的有效性。

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

Journal of The Franklin Institute-engineering and Applied Mathematics 工程技术-工程：电子与电气

CiteScore

7.30

自引率

14.60%

发文量

586

审稿时长

6.9 months

期刊介绍： The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.