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A New Generalized Synchronization Scheme to Control Fractional Chaotic Systems with Non-identical Dimensions and Different Orders

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The International Conference on Advanced Machine Learning Technologies and Applications (AMLTA2019) (AMLTA 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 921))

Abstract

This paper addresses the problem of generalized synchronization (GS) between fractional order chaotic systems. In this paper, we propose a new control strategy for a complex generalized synchronization (GS) scheme dedicated to non-identical fractional-order chaotic systems characterized by different dimensions. The proposed control parameters are nonlinear in nature. In order to ensure that the proposed scheme converge towards zero, we establish the asymptotic stability of the zero solution to the error system by means of the stability of linear fractional-order systems. In order to assess the validity of the findings, numerical results have been presented for a 3D master system and a 4D slave system. The fractional-order systems employed here are well known in the literature. Matlab simulation results have confirmed the convergence of the error in sufficient time.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Larbi Tebessi, 12002, Tebessa, Algeria

    Adel Ouannas

  2. Dipartimento Ingegneria Innovazione, Università del Salento, 73100, Lecce, Italy

    Giuseppe Grassi

  3. Faculty of Computers and Information, Benha University, Benha, Egypt

    Ahmad Taher Azar

  4. School of Engineering and Applied Sciences, Nile University, Giza, Egypt

    Ahmad Taher Azar

Authors
  1. Adel Ouannas
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  2. Giuseppe Grassi
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  3. Ahmad Taher Azar
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Corresponding author

Correspondence to Ahmad Taher Azar .

Editor information

Editors and Affiliations

  1. Faculty of Computers and Information, Cairo University, Giza, Egypt

    Aboul Ella Hassanien

  2. Faculty of Computers and Information, Benha University, Benha, Egypt

    Ahmad Taher Azar

  3. School of Computing, Science and Engineering, University of Salford, Salford, Greater Manchester, UK

    Tarek Gaber

  4. Department of Computer Science and Engineering, School of Computing and IT, Faculty of Engineering, Manipal University Jaipur, Jaipur, Rajasthan, India

    Roheet Bhatnagar

  5. Faculty of Computer and Information Science, Ain Shams University, Cairo, Egypt

    Mohamed F. Tolba

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Ouannas, A., Grassi, G., Azar, A.T. (2020). A New Generalized Synchronization Scheme to Control Fractional Chaotic Systems with Non-identical Dimensions and Different Orders. In: Hassanien, A., Azar, A., Gaber, T., Bhatnagar, R., F. Tolba, M. (eds) The International Conference on Advanced Machine Learning Technologies and Applications (AMLTA2019). AMLTA 2019. Advances in Intelligent Systems and Computing, vol 921. Springer, Cham. https://doi.org/10.1007/978-3-030-14118-9_42

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