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

Mohammad Shahzad
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Mohammad Shahzad: Nizwa College of Applied Sciences, Ministry of Higher Education, Nizwa 611, Oman

Mathematics, 2016, vol. 4, issue 2, 1-11

Abstract: 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.

Keywords: SSEL; Lie bracket; Lie derivative; nonlinear feedback; TDCM (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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