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

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Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	Reduced-order synchronization; Lyapunov–Krasovskii functional theory; Nonlinear control; Adaptive control; Time-delay chaotic systems
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Divisions:	School of Quantitative Sciences
Depositing User:	Dr. Azizan Saaban
Date Deposited:	14 Aug 2016 08:57
Last Modified:	14 Aug 2016 08:57
URI:	https://repo.uum.edu.my/id/eprint/18582

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