Journal
MATHEMATICS
Volume 4, Issue 2, Pages -Publisher
MDPI
DOI: 10.3390/math4020033
Keywords
SSEL; Lie bracket; Lie derivative; nonlinear feedback; TDCM
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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.
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