Second order analysis for the optimal selection of time delays
Optimization and Control
2024-05-24 v1
Abstract
For a nonlinear ordinary differential equation with time delay, the differentiation of the solution with respect to the delay is investigated. Special emphasis is laid on the second-order derivative. The results are applied to an associated optimization problem for the time delay. A first- and second-order sensitivity analysis is performed including an adjoint calculus that avoids the second derivative of the state with respect to the delay.
Cite
@article{arxiv.2405.14775,
title = {Second order analysis for the optimal selection of time delays},
author = {Karl Kunisch and Fredi Troeltzsch},
journal= {arXiv preprint arXiv:2405.14775},
year = {2024}
}