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Synchronization of Three Dimensional Cancer Model with Chen System using a Robust Adaptive Sliding Mode Controller with application to secure communications

0*, Mohammed Raziuddin**

* Assistant Professor, Department of General Requirements, College of Applied Sciences, Nizwa, Oman.

** Lecturer, Department of Information Technology, College of Technology, Nizwa ,Oman.

Periodicity:July - September'2015
DOI : https://doi.org/10.26634/jmat.4.3.3596

Abstract

In this computational research paper, the authors have synchronized the Three Dimensional Cancer Model (TDCM) with Chen System (CS) using a Robust Adaptive Sliding Mode Controller (RASMC) together with uncertainties, external disturbances and fully unknown parameters. A simple suitable sliding surface, which includes synchronization errors, is constructed and appropriate update laws are used to tackle the uncertainties, external disturbances and unknown parameters. All simulations to achieve the synchronization for the proposed technique for the two non-identical systems under consideration are being done using Mathematica. Furthermore, application to secure communication is also demonstrated on tumor cells.

Keywords

Three Dimensional Cancer Model (TDCM), Chen System (CS), Synchronization, Robust Adaptive Sliding Mode Controller ( RASMC).

How to Cite this Article?

Shahzad, M., and Raziuddin, M. (2015). Synchronization of Three Dimensional Cancer Model with Chen System using a Robust Adaptive Sliding Mode Controller with application to secure communications. i-manager’s Journal on Mathematics, 4(3), 17-24. https://doi.org/10.26634/jmat.4.3.3596

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