The chapter is devoted to researching the stability issue of fractional-order impulsive coupled systemsFractional-order impulsive coupled systems over networks (FICSNs). Five new results on stability, uniform stability, uniform asymptotic stability, finite-time stability and Mittag-Leffler stability of FICSNs are derived respectively by the graph theory and Lyapunov second technique. These stability principles have a close relation to the topology property of the network. A numerical example is put forward to verify the validity of the obtained findings.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    New Results on Stability of Coupled Impulsive Fractional-Order Systems on Networks


    Additional title:

    Studies in Systems, Decision and Control


    Contributors:
    Park, Ju H. (editor) / Zhang, Li (author) / Kao, Youggui (author) / Gao, Cunchen (author)


    Publication date :

    2020-08-11


    Size :

    22 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




    Nonlinear caputo fractional impulsive differential equations and generalized comparison results

    Vatsala, Aghalaya S. / Bai, Yumxiang | American Institute of Physics | 2018


    Exponential stability results for fixed and random type impulsive Hopfield neural networks

    Vinodkumar, A. / Rakkiyappan, R. | British Library Online Contents | 2016



    First-Order Impulsive Solutions

    J.F. Andrus | AIAA | 1977


    First order impulsive solutions

    Andrus, J. F. | NTRS | 1976