Eur. Phys. J. Special Topics 223, 1481-1493 (2014)
https://doi.org/10.1140/epjst/e2014-02183-1

Regular Article

An LPV framework for chaos synchronization in communication

Université de Lorraine, Centre de Recherche en Automatique de Nancy, France

^a e-mail: gilles.millerioux@univ-lorraine.fr

Received: 19 February 2014
Revised: 4 April 2014
Published online: 13 May 2014

Abstract

This paper proposes a unified framework to achieve chaos synchronization of both classes of chaotic discrete-time systems, namely maps involving polynomial nonlinearities and piecewise linear maps. It is shown that all of those chaotic systems can be rewritten as a polytopic Linear Parameter Varying (LPV) system. A unified approach to tackle chaos synchronization problems encountered in communication is derived.