Impulsive Control and Synchronization of Complex Lorenz Systems
In this paper, we continue our investigations on control and synchronization of the complex Lorenz systems by investigating impulsive control and synchronization. Nonlinear systems involving impulse effects, appear as a natural description of observed evolution phenomena of several real world proble...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/932327 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550712253349888 |
|---|---|
| author | Shaban Aly Ali Al-Qahtani Houari B. Khenous Gamal M. Mahmoud |
| author_facet | Shaban Aly Ali Al-Qahtani Houari B. Khenous Gamal M. Mahmoud |
| author_sort | Shaban Aly |
| collection | DOAJ |
| description | In this paper, we continue our investigations on control and synchronization of the complex Lorenz systems by investigating impulsive control and synchronization. Nonlinear systems involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems; For example, many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, population dynamics and so forth do exhibit impulsive effects. Some new and more comprehensive criteria for global exponential stability and asymptotical stability of impulsively controlled complex Lorenz systems are established with varying impulsive intervals. The effectiveness of the proposed technique is verified through numerical simulations. |
| format | Article |
| id | doaj-art-98ff6e4b736540938d65aff84ffdc913 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-98ff6e4b736540938d65aff84ffdc9132025-02-03T06:06:01ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/932327932327Impulsive Control and Synchronization of Complex Lorenz SystemsShaban Aly0Ali Al-Qahtani1Houari B. Khenous2Gamal M. Mahmoud3Department of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptIn this paper, we continue our investigations on control and synchronization of the complex Lorenz systems by investigating impulsive control and synchronization. Nonlinear systems involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems; For example, many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, population dynamics and so forth do exhibit impulsive effects. Some new and more comprehensive criteria for global exponential stability and asymptotical stability of impulsively controlled complex Lorenz systems are established with varying impulsive intervals. The effectiveness of the proposed technique is verified through numerical simulations.http://dx.doi.org/10.1155/2014/932327 |
| spellingShingle | Shaban Aly Ali Al-Qahtani Houari B. Khenous Gamal M. Mahmoud Impulsive Control and Synchronization of Complex Lorenz Systems Abstract and Applied Analysis |
| title | Impulsive Control and Synchronization of Complex Lorenz Systems |
| title_full | Impulsive Control and Synchronization of Complex Lorenz Systems |
| title_fullStr | Impulsive Control and Synchronization of Complex Lorenz Systems |
| title_full_unstemmed | Impulsive Control and Synchronization of Complex Lorenz Systems |
| title_short | Impulsive Control and Synchronization of Complex Lorenz Systems |
| title_sort | impulsive control and synchronization of complex lorenz systems |
| url | http://dx.doi.org/10.1155/2014/932327 |
| work_keys_str_mv | AT shabanaly impulsivecontrolandsynchronizationofcomplexlorenzsystems AT alialqahtani impulsivecontrolandsynchronizationofcomplexlorenzsystems AT houaribkhenous impulsivecontrolandsynchronizationofcomplexlorenzsystems AT gamalmmahmoud impulsivecontrolandsynchronizationofcomplexlorenzsystems |