Title :
On a synthesis of controls for a mathematical model of cancer chemotherapy
Author :
Ledzewicz, Urszula ; Schättler, Heinz
Author_Institution :
Dept. of Math. & Stat., Southern Illinois Univ., Edwardsville, IL, USA
Abstract :
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 L1- or L2-objective in the control. In the first case optimal controls are bang-bang while a saturated smooth control is optimal for the quadratic objective
Keywords :
bang-bang control; bilinear systems; cancer; control system synthesis; optimal control; patient treatment; L1-objective; L2-objective; bang-bang control; bilinear system; cancer chemotherapy; control constraint; control dynamics; control synthesis; finite horizon; mathematical model; optimal control problem; quadratic objective; saturated smooth control; Biological system modeling; Cancer; Cells (biology); Computational biology; Drugs; Mathematical model; Mathematics; Nonlinear systems; Optimal control; Statistics;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2001.914697
