Adaptive synchronization of a class of fractional order chaotic system with uncertain parameters

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 11, Issue 6

Abstract

In this manuscript, the adaptive synchronization of a class of fractional order chaotic system with uncertain parameters is studied. Firstly, the local stability of the fractional order chaotic system is analyzed using fractional stability criterion. Then, based on the J function criterion, suitable adaptive synchronization controller and parameter identification rules of the unknown parameters are investigated. Finally, the numerical simulations are presented to verify the effectiveness and robustness of the proposed control scheme.

Authors and Affiliations

De-fu Kong

Keywords

Related Articles

Estimates of Solutions to Nonlinear Evolution Equations

Consider the equation                  u’(t) = A (t, u (t)),   u(0)= U0 ;   u' := du/dt     (1).   Under some assumptions o...

New modifications of Newton-type methods with eighthorder convergence for solving nonlinear equations

The aims of this paper are, firstly, to define a new family of the Thukral and Petkovic type methods for finding zeros of nonlinear equations and secondly, to introduce new formulas for approximating the order of co...

FEYNMAN INTEGRALS PERTAINING TO ALEPH FUNCTION AND TWO GENERAL CLASS OF POLYNOMIALS

The object of the present paper is to derive certain integral properties of Aleph function and two general class of polynomials. During the course of finding, we obtain some particular cases, which are also new and of in...

Regional Boundary Strategic Sensors Characterizations

This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert space where the dynamics of system is governed by strongly continuous semi-groups. More precisely, for parabolic distribut...

Martingales via statistical convergence

In this paper martingales of statistical Bochner integrable functions with values in a Banach space are treated. In particular we have arrived some results for martingales and backwards martingales.

Download PDF file
  • EP ID EP651584
  • DOI 10.24297/jam.v11i6.1229
  • Views 123
  • Downloads 0

How To Cite

De-fu Kong (2015). Adaptive synchronization of a class of fractional order chaotic system with uncertain parameters. JOURNAL OF ADVANCES IN MATHEMATICS, 11(6), 5306-5316. https://europub.co.uk/articles/-A-651584