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International Conference on Advanced Intelligent Systems and Informatics

AISI 2019: Proceedings of the International Conference on Advanced Intelligent Systems and Informatics 2019 pp 207–217Cite as

Chaotic Control in Fractional-Order Discrete-Time Systems

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1058))

Abstract

In recent years, fractional discrete-time calculus has become somewhat of a hot topic. A few researchers have attempted to develop a framework for the subject and investigate the stability and application of fractional discrete-time chaotic system. In this study, a general method to control fractional discrete-time chaotic systems is proposed. Based on Lyapunov stability theory of fractional-order discrete-time systems, a robust scheme of control is introduced. Numerical results are presented to confirm the findings of the study.

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Author information

Authors and Affiliations

  1. LAMIS Laboratory, 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. College of Engineering, Prince Sultan University, Riyadh, Kingdom of Saudi Arabia

    Ahmad Taher Azar

  4. Faculty of computers and Artificial Intelligence, Benha University, Benha, Egypt

    Ahmad Taher Azar

  5. Departement of Mathematics and Computer Sciences, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria

    Amina Aicha Khennaouia

  6. Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Viet-Thanh Pham

Authors
  1. Adel Ouannas
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  2. Giuseppe Grassi
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  3. Ahmad Taher Azar
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  4. Amina Aicha Khennaouia
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  5. Viet-Thanh Pham
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Corresponding author

Correspondence to Ahmad Taher Azar .

Editor information

Editors and Affiliations

  1. Cairo University, Giza, Egypt

    Aboul Ella Hassanien

  2. The British University in Dubai, Dubai, United Arab Emirates

    Khaled Shaalan

  3. Ain Shams University, Cairo, Egypt

    Mohamed Fahmy Tolba

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Ouannas, A., Grassi, G., Azar, A.T., Khennaouia, A.A., Pham, VT. (2020). Chaotic Control in Fractional-Order Discrete-Time Systems. In: Hassanien, A., Shaalan, K., Tolba, M. (eds) Proceedings of the International Conference on Advanced Intelligent Systems and Informatics 2019. AISI 2019. Advances in Intelligent Systems and Computing, vol 1058. Springer, Cham. https://doi.org/10.1007/978-3-030-31129-2_20

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