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

Nizwa College of Applied Sciences, Ministry of Higher Education, Nizwa 611, Oman
Academic Editor: J. Alberto Conejero
Mathematics 2016, 4(2), 33; https://doi.org/10.3390/math4020033
Received: 23 December 2015 / Revised: 2 May 2016 / Accepted: 4 May 2016 / Published: 10 May 2016
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. View Full-Text
Keywords: SSEL; Lie bracket; Lie derivative; nonlinear feedback; TDCM SSEL; Lie bracket; Lie derivative; nonlinear feedback; TDCM
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MDPI and ACS Style

Shahzad, M. Chaos Control in Three Dimensional Cancer Model by State Space Exact Linearization Based on Lie Algebra. Mathematics 2016, 4, 33. https://doi.org/10.3390/math4020033

AMA Style

Shahzad M. Chaos Control in Three Dimensional Cancer Model by State Space Exact Linearization Based on Lie Algebra. Mathematics. 2016; 4(2):33. https://doi.org/10.3390/math4020033

Chicago/Turabian Style

Shahzad, Mohammad. 2016. "Chaos Control in Three Dimensional Cancer Model by State Space Exact Linearization Based on Lie Algebra" Mathematics 4, no. 2: 33. https://doi.org/10.3390/math4020033

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