On the Q–S Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and Examples
In this paper, we propose two control strategies for the Q–S synchronization of fractional-order discrete-time chaotic systems. Assuming that the dimension of the response system m is higher than that of the drive system n, the first control scheme achieves n-dimensional synchronization whereas the...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/2950357 |
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| _version_ | 1832555251147735040 |
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| author | Adel Ouannas Amina-Aicha Khennaoui Giuseppe Grassi Samir Bendoukha |
| author_facet | Adel Ouannas Amina-Aicha Khennaoui Giuseppe Grassi Samir Bendoukha |
| author_sort | Adel Ouannas |
| collection | DOAJ |
| description | In this paper, we propose two control strategies for the Q–S synchronization of fractional-order discrete-time chaotic systems. Assuming that the dimension of the response system m is higher than that of the drive system n, the first control scheme achieves n-dimensional synchronization whereas the second deals with the m-dimensional case. The stability of the proposed schemes is established by means of the linearization method. Numerical results are presented to confirm the findings of the study. |
| format | Article |
| id | doaj-art-00c6ed513a0b40ca9ec9efc5bb8263b2 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-00c6ed513a0b40ca9ec9efc5bb8263b22025-02-03T05:48:39ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/29503572950357On the Q–S Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and ExamplesAdel Ouannas0Amina-Aicha Khennaoui1Giuseppe Grassi2Samir Bendoukha3Mathematics and Computer Science Department, Tebessa University, 12062, AlgeriaDepartment of Mathematics and Computer Sciences, University of Larbi Ben M’hidi, Oum El Bouaghi, AlgeriaUniversita del Salento, Dipartimento Ingegneria Innovazione, 73100 Lecce, ItalyDepartment of Electrical Engineering, College of Engineering, Yanbu, Taibah University, Saudi ArabiaIn this paper, we propose two control strategies for the Q–S synchronization of fractional-order discrete-time chaotic systems. Assuming that the dimension of the response system m is higher than that of the drive system n, the first control scheme achieves n-dimensional synchronization whereas the second deals with the m-dimensional case. The stability of the proposed schemes is established by means of the linearization method. Numerical results are presented to confirm the findings of the study.http://dx.doi.org/10.1155/2018/2950357 |
| spellingShingle | Adel Ouannas Amina-Aicha Khennaoui Giuseppe Grassi Samir Bendoukha On the Q–S Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and Examples Discrete Dynamics in Nature and Society |
| title | On the Q–S Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and Examples |
| title_full | On the Q–S Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and Examples |
| title_fullStr | On the Q–S Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and Examples |
| title_full_unstemmed | On the Q–S Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and Examples |
| title_short | On the Q–S Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and Examples |
| title_sort | on the q s chaos synchronization of fractional order discrete time systems general method and examples |
| url | http://dx.doi.org/10.1155/2018/2950357 |
| work_keys_str_mv | AT adelouannas ontheqschaossynchronizationoffractionalorderdiscretetimesystemsgeneralmethodandexamples AT aminaaichakhennaoui ontheqschaossynchronizationoffractionalorderdiscretetimesystemsgeneralmethodandexamples AT giuseppegrassi ontheqschaossynchronizationoffractionalorderdiscretetimesystemsgeneralmethodandexamples AT samirbendoukha ontheqschaossynchronizationoffractionalorderdiscretetimesystemsgeneralmethodandexamples |