Title: Different order chaotic systems synchronisation based on vector norms approach

Authors: Rihab Gam; Anis Sakly; Faouzi M'Sahli

Addresses: Industrial Systems Study and Renewable Energy (ESIER), National Engineering School of Monastir (ENIM), University of Monastir, Av. Ibn Eljazzar Skanes (5019), Monastir, Tunisia ' Industrial Systems Study and Renewable Energy (ESIER), National Engineering School of Monastir (ENIM), University of Monastir, Av. Ibn Eljazzar Skanes (5019), Monastir, Tunisia ' Industrial Systems Study and Renewable Energy (ESIER), National Engineering School of Monastir (ENIM), University of Monastir, Av. Ibn Eljazzar Skanes (5019), Monastir, Tunisia

Abstract: A new strategy of control is formulated for chaos synchronisation of non-identical chaotic systems with different orders using the Borne and Gentina practical criterion associated with the Benrejeb canonical arrow form matrix, to drift the stability property of dynamic complex systems. The designed controller ensures that the state variables of controlled chaotic slave systems globally synchronise with the state variables of the master systems, respectively. Numerical simulations are performed to illustrate the efficiency of the proposed method.

Keywords: chaos synchronisation; non-identical chaotic systems; different orders; arrow form matrix; vector norms; dynamical systems; complex systems; controller design; numerical simulation.

DOI: 10.1504/IJMIC.2015.071885

International Journal of Modelling, Identification and Control, 2015 Vol.24 No.2, pp.156 - 166

Accepted: 09 Feb 2015
Published online: 22 Sep 2015 *

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