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A general robust method for the synchronization of fractional-integer-order 3-D continuous-time quadratic systems

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Abstract

In this paper, a general robust synchronization method for fractional-order and integer-order 3-D continuous-time quadratic systems is introduced. Based on the idea of the decomposition of the controller in the response system in two sub-controllers and the stability theory of the linear integer-order system, we design the effective controller to achieve synchronization between fractional-order and integer-order 3-D quadratic continuous-time systems. Finally, the fractional-order Lü system and the Rössler system of integer order are used to demonstrate the effectiveness of the presented method with numerical simulation.

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Authors and Affiliations

  1. Department of Managment Sciences, University of Tebessa, 12002, Tebessa, Algeria

    Hannachi Fareh

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  1. Hannachi Fareh
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Hannachi, F. A general robust method for the synchronization of fractional-integer-order 3-D continuous-time quadratic systems. Int. J. Dynam. Control 7, 1084–1090 (2019). https://doi.org/10.1007/s40435-019-00511-2

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  • DOI: https://doi.org/10.1007/s40435-019-00511-2

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