论 DoS 攻击下依赖内存的多代理系统的稳定性

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-17 DOI:10.1016/j.jfranklin.2024.107402

Ricardo Almeida , Ewa Girejko , Luís Machado , Agnieszka B. Malinowska , Natália Martins

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引用次数: 0

摘要

本文对拒绝服务攻击下依赖内存的多代理系统进行了稳定性分析。所考虑的系统是分数阶系统，涉及相对于另一个函数的卡普托导数。本文提供了分数线性系统正向性的必要条件和充分条件。此外，还给出了正线性分数开关系统渐近稳定性的充分条件，该条件适用于任何开关模式。最后，开关系统的结果被用于研究拒绝服务攻击下多代理系统的渐近稳定性。数值模拟和比较分析说明了理论考虑。

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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On the stability of memory-dependent multi-agent systems under DoS attacks

In this paper, the stability analysis of memory-dependent multi-agent systems under Denial-of-Service attacks is conducted. The system under consideration is of fractional order, involving the Caputo derivative with respect to another function. Necessary and sufficient conditions for the positivity of the fractional linear system are provided. Moreover, a sufficient condition for asymptotic stability of positive linear fractional switched systems, which is valid for any switching pattern, is given. Finally, the results on switched systems are used to investigate the asymptotic stability of multi-agent systems under Denial-of-Service attacks. Theoretical considerations are illustrated by numerical simulations and comparative analyses.

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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.