Chaos control in three dimensional cancer model by state space exact linearization based on Lie algebra (Q515420)

Summary: 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 \textit{Mathematica} that witness the robustness of the technique implemented on the chosen chaotic system.