Open AccessROBUST SYNCHRONIZATION OF PARAMETRIZED NONAUTONOMOUS DISCRETE SYSTEMS WITH APPLICATIONS TO COMMUNICATION SYSTEMS
Author(s) -
Hildebrando M. Rodrigues,
Jian Wu,
Marcio Gameiro
Publication year - 2011
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2011037
Subject(s) - discretization , synchronization (alternating current) , lorenz system , control theory (sociology) , computer science , chaotic , nonlinear system , communications system , component (thermodynamics) , matlab , synchronization of chaos , chaotic systems , signal (programming language) , master/slave , mathematics , telecommunications , mathematical analysis , physics , artificial intelligence , control (management) , channel (broadcasting) , thermodynamics , programming language , operating system , quantum mechanics
We study synchronization of a coupled discrete system consisting of a Master System and a Slave System. The Master System usually exhibits chaotic or complicated behavior and transmits a signal with a chaotic component to the Slave System. The Slave System then recovers the original signal and removes the chaotic component. To ensure secured communication, the Master and the Slave systems must synchronize independent of the variation of the systems parameters and initial conditions. Here we develop a general approach and obtain some general results for synchronization of such coupled systems naturally arising from discretization of well-know continuous systems, and we illustrate general results with two specific examples: the discretized Lorenz system and a discretized nonlinear oscillator. We also present some simulations using MatLab to illustrate our discussions.
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