Fixed-Time Synchronization of Fractional-Order Multilayer Complex Networks via a New Fixed-Time Stability Theorem

IF 1.9 4区工程技术 Q3 ENGINEERING, MECHANICAL

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-03-27 DOI:10.1115/1.4062200

Luo Runzi, Zijun Song, Shuai Liu, Jiaojiao Fu, Fang Zhang

引用次数: 0

Abstract

Fixed-time synchronization of fractional-order multilayer complex networks is studied in this paper. At first, a novel fixed-time stability theorem for the fractional-order nonlinear system is presented. The stability theorem is a generalization of the integer order stability theorem and plays an important role on the synchronization schemes. Based on the proposed stability theorem, the fixed-time synchronization of fractional-order multilayer complex networks is investigated and a fixed-time synchronization criterion is presented. Simulation results are given to demonstrate the effectiveness of our results.

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基于新固定时间稳定性定理的分数阶多层复杂网络的固定时间同步

研究了分数阶多层复杂网络的定时同步问题。首先给出了分数阶非线性系统的一个新的定时稳定性定理。稳定性定理是整阶稳定性定理的推广，在同步方案中起着重要的作用。基于所提出的稳定性定理，研究了分数阶多层复杂网络的定时同步问题，给出了一个定时同步判据。仿真结果验证了该方法的有效性。

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 Computational and Nonlinear Dynamics 工程技术-工程：机械

CiteScore

4.00

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.