Titlebook: Synchronization of Integral and Fractional Order Chaotic Systems; A Differential Algeb Rafael Martínez-Guerra,Claudia A. Pérez-Pinacho,Gi B

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Generalized Multisynchronization by Means of a Family of Dynamical Feedbacks,n. From the viewpoint ofdifferential algebra, we propose a family of transformations in order to achieve GMS for the whole slave family. Thefamily of transformations is generated via the family ofdifferential primitive elements, which are linear combinations of states and inputs of the families of m

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An Observer for a Class of Incommensurate Fractional-Order Systems,our proposals to the master–slave synchronization scheme, where the unknown dynamics are considered the master system, and we propose an observer structure as a slave system that estimates the unknown state variables. For solving this problem, we introduce a newincommensurate fractional algebraic ob

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,A Model-Free-Based Proportional Reduced-Order Observer Design for the Synchronization of Lorenz Systhe current states (master system). In this chapter, the construction of a proportional reduced-order observer is the main ingredient in our approach. Finally, we present simulations to illustrate the effectiveness of the suggested approach.

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Experimental Synchronization by Means of Observers,iewed as measurable output, and the slave system is regarded as an observer. A polynomial observer is used for synchronizing the Colpitts oscillator employing linear matrix inequalities. Moreover, comparison with a reduced-order observer and a high-gain observer is given to assess the performance of the proposed observer.

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