Back to Search
Start Over
Second order analysis for the optimal selection of time delays
- Publication Year :
- 2024
-
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.
- Subjects :
- Mathematics - Optimization and Control
49K15, 49K40, 49K20, 34K35, 34K38
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.14775
- Document Type :
- Working Paper