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

Li Zhang, Chenglong Yu, 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 - 1 Nov 2016

Keywords

  • Anti-synchronization
  • Fractional chaotic system
  • Unknown parameters
  • Variable-order

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

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