Observer-based fixed-time topology identification and synchronization for complex networks via quantized pinning control strategy

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-06-04 DOI:10.1016/j.amc.2025.129568

Huaiqin Wu , Xueqing Zhao , Lingyan Wang , Jinde Cao

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引用次数: 0

Abstract

This paper is concerned with observer-based topology identification and synchronization in fixed time for multi-weighted complex networks (MWCNs) with/without output couplings. Firstly, a new fixed-time stability criterion is developed for continuous nonlinear systems by utilizing incomplete beta function and beta function ratio. Secondly, a quantized pinning controller and several topology observers are designed respectively to realize the fixed-time topology identification (FTTI) and the fixed-time synchronization (FTS) objective. Thirdly, by applying Lyapunov functional approach, the proposed stability criteria and the inequality analysis technique, some sufficient conditions with respect to the FTTI and the FTS are addressed in terms of linear matrix inequalities (LMIs). Eventually, the Chua's chaotic circuit and the island micro-grid, as two practical application examples, are given to demonstrate the effectiveness of the designed control strategies and the correctness of the obtained theoretical results.

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基于观测器的复杂网络固定时间拓扑识别与量化固定控制策略同步

研究了具有/不具有输出耦合的多加权复杂网络的基于观测器的固定时间拓扑识别和同步问题。首先，利用不完全函数和函数比建立了连续非线性系统的定时稳定性判据。其次，分别设计了量化固定控制器和多个拓扑观测器，实现了固定时间拓扑识别和固定时间同步目标；第三，利用Lyapunov泛函方法、所提出的稳定性判据和不等式分析技术，从线性矩阵不等式（lmi）的角度讨论了FTTI和FTS的一些充分条件。最后，以蔡氏混沌电路和孤岛微电网为实例，验证了所设计控制策略的有效性和理论结果的正确性。

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.