TY - GEN A1 - Lykina, Valeriya A1 - Grass, Dieter T1 - Infinite horizon cancer treatment model with isoperimetrical constraint: existence of optimal solutions and numerical analysis T2 - International Journal of Control N2 - In this paper, a class of infinite horizon optimal control problems with a mixed control-state isoperimetrical constraint, also interpreted as a budget constraint, is considered. The underlying dynamics is assumed to be affine-linear in control. The crucial idea which is followed in this paper is the choice of a weighted Sobolev space as the state space. For this class of problems, we establish an existence result and apply it to a bilinear model of optimal cancer treatment with an isoperimetrical constraint including the overall amount of drugs used during the whole therapy horizon. A numerical analysis of this model is provided by means of open source software package OCMat, which implements a continuation method for solving discounted infinite horizon optimal control problems. KW - infinite horizon optimal control KW - existence theorem KW - weighted sobolev spaces KW - numerical solution Y1 - 2019 U6 - https://doi.org/10.1080/00207179.2017.1396362 SN - 1366-5820 SN - 0020-7179 VL - 92 IS - 6 SP - 1401 EP - 1414 ER -