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Updated: May 5, 2026

Data Acquisition Protocol for Determining Embedded Sensitivity Functions
Published on: April 20, 2016
Theoretical foundations for traditional and generalized sensitivity functions for nonlinear delay differential
H Thomas Banks1, Danielle Robbins, Karyn L Sutton
1Center for Research in Scientific Computation, Center for Quantitative Sciences in Biomedicine, Raleigh, NC 27695-8212, United States. htbanks@ncsu.edu.
Abstract:
In this paper we present new results for differentiability of delay systems with respect to initial conditions and delays. After motivating our results with a wide range of delay examples arising in biology applications, we further note the need for sensitivity functions (both traditional and generalized sensitivity functions), especially in control and estimation problems. We summarize general existence and uniqueness results before turning to our main results on differentiation with respect to delays, etc. Finally we discuss use of our results in the context of estimation problems.
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