An Adaptive Lyapunov-Based Controller for HIV Treatment

Vaseei, Sahar; Zarrabi, Mohammad Reza

doi:10.30473/coam.2021.56157.1153

Document Type : Applied Article

Authors

School of Mathematics and Computer Science, Damghan University‎, ‎Damghan‎, ‎Iran.

https://doi.org/10.30473/coam.2021.56157.1153

Abstract

In view of the tremendous importance of patients’ stability in medical sciences‎, ‎this paper addresses the application of a sliding mode control in medical devices‎. ‎In doing so‎, ‎we consider a nonlinear dynamic system that shows the mathematical model of the human immunodeficiency virus‎. ‎This nonlinear model has three variable states‎: ‎healthy cells‎, ‎infected cells‎, ‎and free viruses‎. ‎The proposed controller displays the effect of medication on preventing the production of the virus and blocking the new infection‎. ‎This controller ensures the stability of this dynamic system provided for HIV in the event of a bounded disturbance‎. ‎The stability and convergence of this process are proved by the Lyapunov theorem‎. ‎Finally‎, ‎a numerical example is given to demonstrate the efficiency of the proposed method.

Keywords

References

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Control and Optimization in Applied Mathematics

An Adaptive Lyapunov-Based Controller for HIV Treatment

References

References

Volume 5, Issue 2
Open Access Policy
Summer-Autumn 2020
July 2020
Pages 1-10

An Adaptive Lyapunov-Based Controller for HIV Treatment

References

References

Volume 5, Issue 2 Open Access PolicySummer-Autumn 2020July 2020Pages 1-10

Volume 5, Issue 2
Open Access Policy
Summer-Autumn 2020
July 2020
Pages 1-10