Advances in Synchronization of Coupled Fractional Order Systems

Preface.- Introduction.- Basic Concepts and Preliminares.- Synchronization of Chaotic Systems by means of a nonlinear observer: An application to Secure Communications.- Synchronization for Chaotic system through an Observer using the Immersion and Invariance (I&I) Approach.- Synchronization of Nonlinear Fractional Order Systems by Means of PIra Reduced Order Observer.- Estimators for a class of commensurate fractional order systems with Caputo derivative.- Generalized Multi-synchronization of Fractional Order Liouvillian Chaotic Systems using Fractional Dynamical Controller.- An Observer for a Class of Incommensurate Fractional Order Systems.- Fractional Generalized quasi-synchronization of incommensurate fractional order oscillators.- Synchronization and Anti-synchronization of fractional order chaotic systems by means of a fractional integral observer.- Appendix.- Index.

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• Matemática para engenheiros
• Cibernética e teoria dos sistemas
• Física Matemática
• Dinâmica e vibração
• Física óptica

Fractional Calculus;Generalized Synchronization;Fractional Order Estimators;Immersion and Invariance Methodology;Fractional Dynamical Controllers;fractional order dynamical systems;fractional order systems modeling;secure communications;Master-slave synchronization;complexity