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Generalized Sensitivity Analysis for Delay Differential Equations

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Control and Optimization with PDE Constraints

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 164))

Abstract

We present theoretical foundations for traditional sensitivity and generalized sensitivity functions for a general class of nonlinear delay differential equations. Included are theoretical results for sensitivity with respect to the delays. A brief summary of previous results along with several illustrative computational examples are also given.

This research was supported in part by Grant Number NIAID R01AI071915-09 from the National Institute of Allergy and Infectious Disease, in part by the US Air Force Office of Scientific Research under grant number FA9550-09-1-0226 and in part by the National Institute on Alcohol Abuse and Alcoholism under a subcontract from the Research Foundation for Mental Hygiene.

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Authors and Affiliations

  1. Center for Research in Scientific Computation, Center for Quantitative Science in Biomedicine, North Carolina State University, Raleigh, NC, 27695-8212, USA

    H. T. Banks, Danielle Robbins & Karyn L. Sutton

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  1. H. T. Banks
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  2. Danielle Robbins
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  3. Karyn L. Sutton
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Correspondence to H. T. Banks .

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Editors and Affiliations

  1. , Institute for Mathematics and Scientific, University of Graz, Heinrichstr. 36, Graz, 8010, Austria

    Kristian Bredies

  2. , Institute for Mathematics and Scientific, University of Graz, Heinrichstr. 36, Graz, 8010, Austria

    Christian Clason

  3. , Institute for Mathematics and Scientific, University of Graz, Heinrichstr. 36, Graz, 8010, Austria

    Karl Kunisch  & Gregory von Winckel  & 

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Banks, H.T., Robbins, D., Sutton, K.L. (2013). Generalized Sensitivity Analysis for Delay Differential Equations. In: Bredies, K., Clason, C., Kunisch, K., von Winckel, G. (eds) Control and Optimization with PDE Constraints. International Series of Numerical Mathematics, vol 164. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0631-2_2

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