scholarly journals Optimal control of a batch fermentation process with nonlinear time-delay and free terminal time and cost sensitivity constraint

2016 ◽  
Vol 44 ◽  
pp. 41-52 ◽  
Author(s):  
Jinlong Yuan ◽  
Chongyang Liu ◽  
Xu Zhang ◽  
Jun Xie ◽  
Enmin Feng ◽  
...  
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Batch Fermentation ◽  
Fermentation Process ◽  
Terminal Time ◽  
Free Terminal Time ◽  
Cost Sensitivity

scholarly journals Free terminal time optimal control problem for the treatment of HIV infection

2016 ◽  
Vol 6 (1) ◽  
pp. 33-51 ◽  
Author(s):  
Amine Hamdache ◽  
Smahane Saadi ◽  
Ilias Elmouki
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Hiv Infection ◽  
Control Problem ◽  
Time Optimal Control ◽  
Optimal Controls ◽  
Terminal Time ◽  
Time Optimal ◽  
Time Optimal Control Problem ◽  
Free Terminal Time

In this work, an optimal control approach is presented in order to propose an optimal therapy for the treatment HIV infection using a combination of two appropriate treatment strategies. The optimal treatment duration and the optimal medications amount are considered. The main objective of this study is to be able to maximize the benet based on number of healthy CD4+ T-cells and CTL immune cells and to minimize the infection level and the overall treatment cost while optimizing the duration of therapy. The free terminal time optimal control problem is formulated and the Pontryagin's maximum principle is employedto provide the explicit formulations of the optimal controls. The corresponding optimality system with the additional transversality condition for the terminal time is derived and solved numerically using an adapted iterative method with a Runge-Kutta fourth order scheme and a gradient method routine.

scholarly journals Fractional order optimal control problems with free terminal time

2014 ◽  
Vol 10 (2) ◽  
pp. 363-381 ◽  
Author(s):  
Shakoor Pooseh ◽  
◽  
Ricardo Almeida ◽  
Delfim F. M. Torres
Keyword(s):  
Optimal Control ◽  
Fractional Order ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Terminal Time ◽  
Free Terminal Time
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