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

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