JMAT_V5_N1_RP2 Mohammad Shahzad Journal on Mathematics 2277-5137 5 1 20 30 Exact Linearization, Lie Bracket, Lie Derivative, Nonlinear Feedback, HIV Model This Paper deals with the control of chaotic dynamics of healthy, infected CD+4 T-cells and free HIV (Human Immunodeficiency Virus) cells in a chaotic system of HIV infection of CD+4 T-cells by implementing a Lie algebraic exact linearization technique. A nonlinear feedback control law is designed, which induces a co-ordinate transformation thereby changing the original chaotic HIV system into a controlled linear system. Numerical simulation has been carried by using Mathematica that witness the robustness of the technique implemented on the chosen chaotic system. January - March 2016 Copyright © 2016 i-manager publications. All rights reserved. i-manager Publications http://www.imanagerpublications.com/Article.aspx?ArticleId=4868