Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External Disturbances
The antisynchronization behavior of chaotic systems with parametric uncertainties and external disturbances is explored by using robust active sliding mode control method. The sufficient conditions for achieving robust antisynchronization of two identical chaotic systems with different initial condi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/293709 |
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| _version_ | 1832559851558928384 |
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| author | Wafaa Jawaada M. S. M. Noorani M. Mossa Al-sawalha |
| author_facet | Wafaa Jawaada M. S. M. Noorani M. Mossa Al-sawalha |
| author_sort | Wafaa Jawaada |
| collection | DOAJ |
| description | The antisynchronization behavior of chaotic systems with parametric uncertainties and external disturbances is explored by using robust active sliding mode control method. The sufficient conditions for achieving robust antisynchronization of two identical chaotic systems with different initial conditions and two different chaotic systems with terms of uncertainties and external disturbances are derived based on the Lyapunov stability theory. Analysis and numerical simulations are shown for validation purposes. |
| format | Article |
| id | doaj-art-a6d35197a4f9448bafb05aa15f329353 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a6d35197a4f9448bafb05aa15f3293532025-02-03T01:29:03ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/293709293709Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External DisturbancesWafaa Jawaada0M. S. M. Noorani1M. Mossa Al-sawalha2School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Selangor, 43600 Bangi, MalaysiaSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, Selangor, 43600 Bangi, MalaysiaMathematics Department, Faculty of Science, University of Hail, Hail 81451, Saudi ArabiaThe antisynchronization behavior of chaotic systems with parametric uncertainties and external disturbances is explored by using robust active sliding mode control method. The sufficient conditions for achieving robust antisynchronization of two identical chaotic systems with different initial conditions and two different chaotic systems with terms of uncertainties and external disturbances are derived based on the Lyapunov stability theory. Analysis and numerical simulations are shown for validation purposes.http://dx.doi.org/10.1155/2012/293709 |
| spellingShingle | Wafaa Jawaada M. S. M. Noorani M. Mossa Al-sawalha Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External Disturbances Journal of Applied Mathematics |
| title | Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External Disturbances |
| title_full | Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External Disturbances |
| title_fullStr | Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External Disturbances |
| title_full_unstemmed | Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External Disturbances |
| title_short | Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External Disturbances |
| title_sort | active sliding mode control antisynchronization of chaotic systems with uncertainties and external disturbances |
| url | http://dx.doi.org/10.1155/2012/293709 |
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