Title: Hybrid dynamical systems for private digital communication

Authors: Hamid Hamiche; Malek Ghanes; Jean-Pierre Barbot; Karim Kemih; Said Djennoune

Addresses: Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP), UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algérie ' Equipe Commande des Systèmes (ECS-Lab), ENSEA, 6 Avenue du Ponceau, 95014 Cergy-Pontoise Cedex, France ' Equipe Commande des Systèmes (ECS-Lab), ENSEA, 6 Avenue du Ponceau, 95014 Cergy-Pontoise Cedex, France ' Université de Jijel, Laboratoire L2EI, BP98, Ouled Aissa Jijel, Algérie ' Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP), UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algérie

Abstract: In this article, a transmission scheme based on the chaotic hybrid delayed dynamics for private communications is proposed. It is based on the synchronisation of two chaotic systems using unknown-input observers. Our approach improves the security of the proposed scheme against intruders through an intricate encryption system. In addition, our approach is robust to channel noise. The main idea is to separate the encryption and synchronisation operations by using two coupled chaotic systems (hybrid) in the transmitter. Technically, the scheme is based on impulsive and delayed observers; these have the advantage to estimate the transmitter states and to reconstruct the unknown inputs simultaneously. Simulation results are presented to highlight the performances of the proposed method.

Keywords: chaos; hybrid dynamic systems; delays; observer; left invertibility; private communications; chaotic systems; security; intrusion; encryption; cryptography; synchronisation; simulation.

DOI: 10.1504/IJMIC.2013.056182

International Journal of Modelling, Identification and Control, 2013 Vol.20 No.2, pp.99 - 113

Published online: 27 Sep 2014 *

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