Nonlinear Lyapunov-based control for HIV-1 dynamics

Author

Alazabi, Fatma A. ; Zohdy, Mohamed A.

Author_Institution

Electr. & Comput. Eng. Dept., Oakland Univ., Rochester, MI, USA

fYear

2013

fDate

4-7 Aug. 2013

Firstpage

604

Lastpage

607

Abstract

Nonlinear control theory plays an important role in stabilizing nonlinear dynamic systems such as the Human Immunodeficiency Virus type-1 (HIV-1) infectious disease. This disease targets immune system defenses and may eventually cause Acquired Immune Deficiency Syndrome (AIDS). In this paper, a nonlinear Lyapunov-based control for HIV-1 dynamic reduced models with real data is proposed. A Lyapunov function for a reduced model is constructed, and proof of its global stability is also provided. The feedback control laws using Jurdjevic-Quinn and Sontag designs are compared. The reduced HIV-1 model is stabilized implicitly through infected cells by using two different control laws. Feedback control law using Sontag´s formula showed a slightly smoother performance and less of control effort. On the other hand, the Sontag formula needed more computation than the Jurdjevic-Quinn formula.

Keywords

Lyapunov methods; control system synthesis; feedback; medical control systems; nonlinear control systems; stability; AIDS; HIV-1 dynamic reduced models; Jurdjevic-Quinn designs; Sontag designs; acquired immune deficiency syndrome; feedback control laws; global stability; human immunodeficiency virus type-1 infectious disease; immune system; nonlinear Lyapunov-based control theory; nonlinear dynamic system; Nonlinear control; control Lyapunov function laws; global stability; phase plane portrait; reduced HIV-1 model;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems (MWSCAS), 2013 IEEE 56th International Midwest Symposium on

Conference_Location

Columbus, OH

ISSN

1548-3746

Type

conf

DOI

10.1109/MWSCAS.2013.6674721

Filename

6674721