A Robust Control Method for Q-S Synchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems
A robust control approach is presented to study the problem of Q-S synchronization between Integer-order and fractional-order chaotic systems with different dimensions. Based on Laplace transformation and stability theory of linear integer-order dynamical systems, a new control law is proposed to gu...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/703753 |
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| _version_ | 1850168892510437376 |
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| author | Adel Ouannas Raghib Abu-Saris |
| author_facet | Adel Ouannas Raghib Abu-Saris |
| author_sort | Adel Ouannas |
| collection | DOAJ |
| description | A robust control approach is presented to study the problem of Q-S synchronization between Integer-order and fractional-order chaotic systems with different dimensions. Based on Laplace transformation and stability theory of linear integer-order dynamical systems, a new control law is proposed to guarantee the Q-S synchronization between n-dimensional integer-order master system and m-dimensional fractional-order slave system. This paper provides further contribution to the topic of Q-S chaos synchronization between integer-order and fractional-order systems and introduces a general control scheme that can be applied to wide classes of chaotic and hyperchaotic systems. Illustrative example and numerical simulations are used to show the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-a05ba160b60f461eb51e196e12e7db30 |
| institution | OA Journals |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-a05ba160b60f461eb51e196e12e7db302025-08-20T02:20:52ZengWileyJournal of Control Science and Engineering1687-52491687-52572015-01-01201510.1155/2015/703753703753A Robust Control Method for Q-S Synchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic SystemsAdel Ouannas0Raghib Abu-Saris1Department of Mathematics and Computer Science, University of Tebessa, 12002 Tebessa, AlgeriaDepartment of Health Informatics, College of Public Health and Health Informatics, King Saud Bin Abdulaziz University for Health Science, Riyadh 11481, Saudi ArabiaA robust control approach is presented to study the problem of Q-S synchronization between Integer-order and fractional-order chaotic systems with different dimensions. Based on Laplace transformation and stability theory of linear integer-order dynamical systems, a new control law is proposed to guarantee the Q-S synchronization between n-dimensional integer-order master system and m-dimensional fractional-order slave system. This paper provides further contribution to the topic of Q-S chaos synchronization between integer-order and fractional-order systems and introduces a general control scheme that can be applied to wide classes of chaotic and hyperchaotic systems. Illustrative example and numerical simulations are used to show the effectiveness of the proposed method.http://dx.doi.org/10.1155/2015/703753 |
| spellingShingle | Adel Ouannas Raghib Abu-Saris A Robust Control Method for Q-S Synchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems Journal of Control Science and Engineering |
| title | A Robust Control Method for Q-S Synchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems |
| title_full | A Robust Control Method for Q-S Synchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems |
| title_fullStr | A Robust Control Method for Q-S Synchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems |
| title_full_unstemmed | A Robust Control Method for Q-S Synchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems |
| title_short | A Robust Control Method for Q-S Synchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems |
| title_sort | robust control method for q s synchronization between different dimensional integer order and fractional order chaotic systems |
| url | http://dx.doi.org/10.1155/2015/703753 |
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