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Synchronization of integral and fractional order chaotic systems : a differential algebraic and differential geometric approach with selected applications in real-time

Author: Rafael Martínez-Guerra; Claudia A Pérez-Pinacho; Gian Carlo Gómez-Cortés
Publisher: Cham : Springer, 2015. ©2015
Series: Understanding complex systems; Springer complexity.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems. This is achieved using a combination of analytic, algebraic, geometrical and asymptotical methods to tackle the dynamical feedback stabilization problem. In particular, differential-geometric and algebraic differential concepts reveal important structural  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Rafael Martínez-Guerra; Claudia A Pérez-Pinacho; Gian Carlo Gómez-Cortés
ISBN: 9783319152844 331915284X 3319152831 9783319152837
OCLC Number: 905901875
Description: 1 online resource (xxiv, 242 pages) : illustrations (some color).
Contents: Control theory and synchronization --
A model-free based proportional reduced-order observer design for the synchronization of Lorenz system.- A Model-Free Sliding Observer to Synchronization Problem Using Geometric Techniques --
Experimental synchronization by means of observers --
Synchronization of an uncertain Rikitake System with parametric estimation --
Secure Communications and Synchronization via a Sliding-mode Observer --
Synchronization and anti-synchronization of chaotic systems: A differential and algebraic approach --
Synchronization of chaotic Liouvillian systems: An application to Chua?s oscillator --
Synchronization of Partially unknown Nonlinear Fractional Order Systems --
Generalized Synchronization via the differential primitive element --
Generalized synchronization for a class of non-differentially flat and Liouvillian chaotic systems --
Generalized multi-synchronization by means of a family of dynamical feedbacks.- Fractional generalized synchronization in nonlinear fractional order systems via a dynamical feedback --
An Observer for a Class of Incommensurate Fractional Order Systems --
Appendex --
Index.
Series Title: Understanding complex systems; Springer complexity.
Responsibility: Rafael Martínez-Guerra, Claudia A. Pérez-Pinacho, Gian Carlo Gómez-Cortés.
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