An LPV framework for chaos synchronization in communication

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...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2014-06, Vol.223 (8), p.1481-1493
Main Authors: Halimi, M., Millérioux, G.
Format: Article
Language:English
Subjects:
Atomic
Automatic
Chaos
Chaotic Dynamics
Classical and Continuum Physics
Condensed Matter Physics
Cryptography and Communications
Engineering Sciences
Materials Science
Mathematics
Measurement Science and Instrumentation
Molecular
Nonlinear Sciences
Optical and Plasma Physics
Optimization and Control
Physics
Physics and Astronomy
Regular Article
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Summary: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.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2014-02183-1