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arXiv · 2405.14775

Second order analysis for the optimal selection of time delays

Karl Kunisch·Fredi Troeltzsch
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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.

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Karl Kunisch, Fredi Troeltzsch. 2024-05-23. Second order analysis for the optimal selection of time delays. https://arxiv.org/abs/2405.14775

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