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New Control Schemes for Fractional Chaos Synchronization

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Proceedings of the International Conference on Advanced Intelligent Systems and Informatics 2018 (AISI 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 845))

Abstract

Chaos theory deals with the behavior of dynamical systems that are highly sensitive to initial conditions. Chaotic systems are characterized by the property that small changes in the initial conditions result in widely diverging responses. In this paper, new control schemes of synchronization for different arbitrary incommensurate and commensurate fractional order chaotic systems are presented. Synchronization stability, based on stability of linear fractional-order systems and fractional Lyapunov stability, is proved theoretically. Numerical examples are given to show the effectiveness of the proposed method.

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Author information

Authors and Affiliations

  1. Laboratory of Mathematics, Informatics and Systems (LAMIS), 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 Campus, 6th of October City, Giza, Egypt

    Ahmad Taher Azar

  5. Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi, India

    Shikha Singh

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

Correspondence to Ahmad Taher Azar .

Editor information

Editors and Affiliations

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

    Aboul Ella Hassanien

  2. Ain Shams University, Cairo, Egypt

    Mohamed F. Tolba

  3. Dubai International Academic City, The British University in Dubai, Dubai, United Arab Emirates

    Khaled Shaalan

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

    Ahmad Taher Azar

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Ouannas, A., Grassi, G., Azar, A.T., Singh, S. (2019). New Control Schemes for Fractional Chaos Synchronization. In: Hassanien, A., Tolba, M., Shaalan, K., Azar, A. (eds) Proceedings of the International Conference on Advanced Intelligent Systems and Informatics 2018. AISI 2018. Advances in Intelligent Systems and Computing, vol 845. Springer, Cham. https://doi.org/10.1007/978-3-319-99010-1_5

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