A nonlinear optimal control problem with an...
URL: https://www.sciencedirect.com/science/article/pii/S0960077923012031?via%3Dihub
Title: A nonlinear optimal control problem with an application to optimal dosing of cytotoxic drugs
Author(s): Andrej Novak
DOI: https://doi.org/10.1016/j.chaos.2023.114301
Publication Date: 25 November 2023
Resource Type: Link
Format: Research paper
Working Group: WG1-WG2-WG3
Affiliation(s): 1)Department of Physics, Faculty of Science, University of Zagreb, Bijenicka cesta 32, Zagreb, 10000, Croatia; 2) Dubrava University Hospital, Avenija Gojka Suska 6, Zagreb, 10000, Croatia
Access Status: Restricted
Keywords:
Description: We consider the problem of minimizing a quadratic cost functional, subject to quasilinear systems of ordinary differential equations. By employing a fixed-point theorem argument, we characterize the optimal control via the associated Riccati equation in a manner analogous to the linear version of the problem. Additionally, we introduce a novel numerical method to approximate the solution and validate it within the context of a quasilinear quadratic cancer therapy model. This general methodology provides both theoretical and practical tools for addressing optimal control problems across various fields.
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