On a synthesis of controls for a mathematical model of cancer chemotherapy

被引:0
|
作者
Ledzewicz, U [1 ]
Schättler, H [1 ]
机构
[1] So Illinois Univ, Dept Math & Stat, Edwardsville, IL 62026 USA
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中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A simple mathematical model for cancer chemotherapy from the literature is given by an optimal control problem over a finite horizon with control constraint and dynamics given by a bilinear system. We describe some aspects of its synthesis of optimal controls for the cases of an L-1- respectively L-2-objective in the control. In the first case optimal controls are bang-bang while a saturated smooth control is optimal for the quadratic objective.
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页码:4845 / 4850
页数:6
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