Reduced-order synchronization of time-delay chaotic systems with known and unknown parameters

In this article, a novel robust nonlinear controller approach is focused to study theoretically, the reduced-order synchronization phenomena of two unrelated time-delayed chaoticsystems under the determined and unknown parameters. It is assumed that the two systems are perturbed by the bounded unstr...

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Main Authors: Ahmad, Israr, Saaban, Azizan, Ibrahim, Adyda, Shahzad, Mohammad, Mossa Al-Sawalha, M.
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出版: Elsevier Ltd. 2016
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在線閱讀:http://repo.uum.edu.my/18582/
http://doi.org/10.1016/j.ijleo.2016.02.078
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spelling my.uum.repo.185822016-08-14T08:57:28Z http://repo.uum.edu.my/18582/ Reduced-order synchronization of time-delay chaotic systems with known and unknown parameters Ahmad, Israr Saaban, Azizan Ibrahim, Adyda Shahzad, Mohammad Mossa Al-Sawalha, M. QA76 Computer software In this article, a novel robust nonlinear controller approach is focused to study theoretically, the reduced-order synchronization phenomena of two unrelated time-delayed chaoticsystems under the determined and unknown parameters. It is assumed that the two systems are perturbed by the bounded unstructured uncertainties and unknown external disturbance. Based on the Lyapunov–Krasovskii functional theory, a robust nonlinear synchronization controller is focused and a suitable Lyapunov functional is constructed so that they establish the globally asymptotical stability of the closed loop at the origin. Subsequently, suitable adaptive laws of unknown parameters are designed to identify the unknown parameters.Finally, the effectiveness of the proposed reduced-order synchronization approach is verified by numerical simulations. A brief comparison of the present study with prior works has been given. Elsevier Ltd. 2016 Article PeerReviewed Ahmad, Israr and Saaban, Azizan and Ibrahim, Adyda and Shahzad, Mohammad and Mossa Al-Sawalha, M. (2016) Reduced-order synchronization of time-delay chaotic systems with known and unknown parameters. Optik - International Journal for Light and Electron Optics, 127 (13). pp. 5506-5514. ISSN 0030-4026 http://doi.org/10.1016/j.ijleo.2016.02.078 doi:10.1016/j.ijleo.2016.02.078
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutionali Repository
url_provider http://repo.uum.edu.my/
topic QA76 Computer software
spellingShingle QA76 Computer software
Ahmad, Israr
Saaban, Azizan
Ibrahim, Adyda
Shahzad, Mohammad
Mossa Al-Sawalha, M.
Reduced-order synchronization of time-delay chaotic systems with known and unknown parameters
description In this article, a novel robust nonlinear controller approach is focused to study theoretically, the reduced-order synchronization phenomena of two unrelated time-delayed chaoticsystems under the determined and unknown parameters. It is assumed that the two systems are perturbed by the bounded unstructured uncertainties and unknown external disturbance. Based on the Lyapunov–Krasovskii functional theory, a robust nonlinear synchronization controller is focused and a suitable Lyapunov functional is constructed so that they establish the globally asymptotical stability of the closed loop at the origin. Subsequently, suitable adaptive laws of unknown parameters are designed to identify the unknown parameters.Finally, the effectiveness of the proposed reduced-order synchronization approach is verified by numerical simulations. A brief comparison of the present study with prior works has been given.
format Article
author Ahmad, Israr
Saaban, Azizan
Ibrahim, Adyda
Shahzad, Mohammad
Mossa Al-Sawalha, M.
author_facet Ahmad, Israr
Saaban, Azizan
Ibrahim, Adyda
Shahzad, Mohammad
Mossa Al-Sawalha, M.
author_sort Ahmad, Israr
title Reduced-order synchronization of time-delay chaotic systems with known and unknown parameters
title_short Reduced-order synchronization of time-delay chaotic systems with known and unknown parameters
title_full Reduced-order synchronization of time-delay chaotic systems with known and unknown parameters
title_fullStr Reduced-order synchronization of time-delay chaotic systems with known and unknown parameters
title_full_unstemmed Reduced-order synchronization of time-delay chaotic systems with known and unknown parameters
title_sort reduced-order synchronization of time-delay chaotic systems with known and unknown parameters
publisher Elsevier Ltd.
publishDate 2016
url http://repo.uum.edu.my/18582/
http://doi.org/10.1016/j.ijleo.2016.02.078
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