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Title

Chaos Control in Three Dimensional Cancer Model by State Space Exact Linearization Based on Lie Algebra
Author

Mohammad Shahzad
Organization: Department of General Requirements, College of Applied Sciences, Nizwa, Oman
Journal / Anthology

Mathematics
Year: 2016
Volume: 4
Issue: 2
Description

This study deals with the control of chaotic dynamics of tumor cells, healthy host cells, and effector immune cells in a chaotic Three Dimensional Cancer Model (TDCM) by State Space Exact Linearization (SSEL) technique based on Lie algebra. A non-linear feedback control law is designed which induces a coordinate transformation thereby changing the original chaotic TDCM system into a controlled one linear system. Numerical simulation has been carried using Mathematica that witness the robustness of the technique implemented on the chosen chaotic system.
Subjects

*Mathematics
*Mathematics > Algebra