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L. Faubourg and J. Pomet, “Design of Control Lyapnov Functions for ‘Jurdjevic-Quinn’ Systems,” Satbility and Stabilization of Nonlinear Systems, Vol. 246, 1999, pp. 137-150. doi:10.1007/1-84628-577-1_7

has been cited by the following article:

• TITLE: Nonlinear Uncertain HIV-1 Model Controller by Using Control Lyapunov Function

  AUTHORS: Fatma A. Alazabi, Mohamed A. Zohdy

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

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.1 No.2, June 28, 2012

  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.