Nonlinear Uncertain HIV-1 Model Controller by Using Control Lyapunov Function - International Journal of Modern Nonlinear Theory and Application

Nonlinear Uncertain HIV-1 Model Controller by Using Control Lyapunov Function ()

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DOI: 10.4236/ijmnta.2012.12004 5,095 Downloads 12,034 Views Citations

Author(s)

Fatma A. Alazabi, Mohamed A. Zohdy

Affiliation(s)

Department of Electrical and Computer Engineering, Oakland University, Rochester, USA.

ABSTRACT

In this paper, we introduce a new Control Lyapunov Function (CLF) approach for controlling the behavior of nonlinear uncertain HIV-1 models. The uncertainty is in decay parameters and also external control setting. CLF is then applied to different strategies. One such strategy considers input into infected cells population stage and the other considers input into a virus population stage. Furthermore, by adding noise to the HIV-1 model a realistic comparison between control strategies is presented to evaluate the system’s dynamics. It has been demonstrated that nonlinear control has effectiveness and robustness, in reducing virus loading to an undetectable level.

KEYWORDS

HIV-1 Infection Model; Control Lyapunov Function (CLF); Control Strategy; Uncertain Parameters; Noise Effect

Share and Cite:

F. Alazabi and M. Zohdy, "Nonlinear Uncertain HIV-1 Model Controller by Using Control Lyapunov Function," International Journal of Modern Nonlinear Theory and Application, Vol. 1 No. 2, 2012, pp. 33-39. doi: 10.4236/ijmnta.2012.12004.

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