Results of HIV-infection model stabilization

Abstract

In the paper considers a problem of stabilizing a HIV infection dynamics mathematical model that described by a system of differential equations with delay. A stabilizing control is constructed basing on the method of explicit solutions of Generalized Riccati Equations of the theory of analytical constructing regulator for systems of functional differential equations. For construct a feedback control we use the third variant of explicit solutions of the generalized Riccati equations. First and second variants of stabilization discussed in other authors articles. Considered stabilizing control for the system of differential equations with delay leads HIV-infection system to the small non-zero level of infection. Results of the research can be applied to analysis of some aspects of HIV dynamics. © 2015, IFAC Hosting by Elsevier Ltd.