时变时滞分数阶复杂网络的吸引域估计

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2025-03-12 DOI:10.1016/j.matcom.2025.02.030

Feifei Du , Jun-Guo Lu , Qing-Hao Zhang

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引用次数: 0

摘要

近年来，计算网络的吸引力区域（ROA）受到越来越多的关注。然而，将现有理论应用于具有分数阶和延迟的网络提出了重大挑战。研究了具有时变延迟的分数阶复杂网络的ROA估计问题。首先，给出了两个广义分数阶Halanay不等式。随后，利用第一个Halanay不等式，开发了一种不受延迟和分数阶影响的ROA估计方法。然而，这种方法往往是保守的。为了减轻这种保守性，基于我们的两个发展的Halanay不等式，提出了一种延迟相关和顺序相关的ROA估计技术。此外，还给出了数值算例来验证所提出的方法。

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Estimating the region of attraction on fractional-order complex networks with time-varying delay

Recently, there has been increasing attention towards reckoning the region of attraction (ROA) for networks. However, applying existing theory to networks with fractional-order and delays presents significant challenges. This article addresses the estimation of ROA for fractional-order complex networks with time-varying delay. Initially, two generalized fractional-order Halanay inequalities are formulated. Subsequently, leveraging the first Halanay inequality, a method for ROA estimation is developed, which is unaffected by both delay and fractional-order. However, this method tends to be conservative. To mitigate this conservatism, a delay-dependent and order-dependent ROA estimation technique is proposed based on our two developed Halanay inequalities. Additionally, numerical examples are presented to validate the proposed methodologies.

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来源期刊

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

期刊介绍： The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.