Comparison method-based finite-time stabilization of fuzzy complex-valued inertial neural networks with hybrid delays

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-06-01 Epub Date: 2026-01-17 DOI:10.1016/j.cnsns.2026.109689

Ziye Zhang , Yunge Liu , Xiaoping Liu , Zhen Wang , Chong Lin

{"title":"Comparison method-based finite-time stabilization of fuzzy complex-valued inertial neural networks with hybrid delays","authors":"Ziye Zhang , Yunge Liu , Xiaoping Liu , Zhen Wang , Chong Lin","doi":"10.1016/j.cnsns.2026.109689","DOIUrl":null,"url":null,"abstract":"<div><div>The finite-time stabilization (FTS) of fuzzy complex-valued inertial neural networks (FCVINNs) model with discrete delays and distributed delays is investigated. We first attempt to integrate the comparison strategy into the non-reduced order and the non-separation approach, which is a complement and innovation to the previous method. To achieve the ideal goal, based on 2-norm and 1-norm defined in the complex field, we structure the innovative comparison functions and design the appropriate controllers without delay information. Next, by using the comparison method and inequality skills on the original system, the algebraic criteria to guarantee the FTS for FCVINNs with hybrid delays are established. Meanwhile, the settling time is approximated. Last, the validity and availability of theoretical researches are verified by numerical simulations and the theoretical results are applied to a pseudo random number generator (PRNG).</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109689"},"PeriodicalIF":3.8000,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570426000511","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/1/17 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

Abstract

The finite-time stabilization (FTS) of fuzzy complex-valued inertial neural networks (FCVINNs) model with discrete delays and distributed delays is investigated. We first attempt to integrate the comparison strategy into the non-reduced order and the non-separation approach, which is a complement and innovation to the previous method. To achieve the ideal goal, based on 2-norm and 1-norm defined in the complex field, we structure the innovative comparison functions and design the appropriate controllers without delay information. Next, by using the comparison method and inequality skills on the original system, the algebraic criteria to guarantee the FTS for FCVINNs with hybrid delays are established. Meanwhile, the settling time is approximated. Last, the validity and availability of theoretical researches are verified by numerical simulations and the theoretical results are applied to a pseudo random number generator (PRNG).

查看原文本刊更多论文

基于比较方法的混合时滞模糊复值惯性神经网络有限时间镇定

研究了具有离散时滞和分布时滞的模糊复值惯性神经网络模型的有限时间镇定问题。我们首先尝试将比较策略整合到非降阶和非分离方法中，这是对之前方法的补充和创新。为了达到理想的目标，我们在复杂领域定义的2-范数和1-范数的基础上，构造了创新的比较函数，并设计了适当的无延迟信息的控制器。其次，利用对原系统的比较方法和不等式技巧，建立了具有混合时滞的fcvinn的时域平滑度的代数准则。同时，对沉降时间进行了近似计算。最后，通过数值仿真验证了理论研究的有效性和有效性，并将理论结果应用于伪随机数发生器（PRNG）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.