Using Fourier Series for Solving Optimal Control Problem of an Hiv Infection Treatment Control Model
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Authors
S. Mosarreza Nouri
- M.Sc. of Control, Iran.
Mohammad Alizadehjamal
- Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Abstract
In this paper we introduce a numerical technique based on Fourier series for solving of nonlinear optimal control problems, where this approach is used for solving optimal control problem of an HIV infection treatment control model. In this paper, first by using healthy cells \(CD4^+T (T)\), infected cells \(CD4^+T (I)\), viral load (V) and also by using a drug inhibitor of reverse polygraph as a control function, a control model is presented for treatment of HIV infection. A cost function to minimize the cost of drug during the treatment is defined as well. To find the pair of trajectory and control of such nonlinear optimal control problem, we used Fourier series to approximate optimal pair of trajectory and control.
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ISRP Style
S. Mosarreza Nouri, Mohammad Alizadehjamal, Using Fourier Series for Solving Optimal Control Problem of an Hiv Infection Treatment Control Model, Journal of Mathematics and Computer Science, 11 (2014), no. 2, 86-92
AMA Style
Nouri S. Mosarreza, Alizadehjamal Mohammad, Using Fourier Series for Solving Optimal Control Problem of an Hiv Infection Treatment Control Model. J Math Comput SCI-JM. (2014); 11(2):86-92
Chicago/Turabian Style
Nouri, S. Mosarreza, Alizadehjamal, Mohammad. "Using Fourier Series for Solving Optimal Control Problem of an Hiv Infection Treatment Control Model." Journal of Mathematics and Computer Science, 11, no. 2 (2014): 86-92
Keywords
- Fourier Series
- approximation theory
- HIV infection
- optimal control.
MSC
References
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