Control of finite-time anti-synchronization for variable-order fractional chaotic systems with unknown parameters

Chenglong Yu, Li Zhang, Tao liu

    Research output: Contribution to journalArticle

    10 Citations (Scopus)

    Abstract

    Fractional-order chaotic system with variable-order and unknown parameters, as an excellent tool to describe the memory and hereditary characteristics of the complex phenomena in reality, remains important, but nowadays there exist few results about this system. This paper presents a finite-time anti-synchronization of two these systems based on the Mittag-Leffler stable theory and norm theory, in which the order varies with time and the unknown parameters of the systems are estimated. Moreover, a corollary about the monotone effect of variable order on the norm of the error system is deduced. We take different nonlinear variable orders for two identical Lü fractional chaotic systems and for two different Lü and Chen–Lee fractional chaotic systems as examples. The simulations illustrate the effectiveness and feasibility of the proposed control scheme.

    Original languageEnglish
    Pages (from-to)1967-1980
    Number of pages14
    JournalNONLINEAR DYNAMICS
    Volume86
    Issue number3
    DOIs
    Publication statusPublished - 2016

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