title: Generalized Implicit Function Theorem and its Application to Parametric Optimal Control Problems
creator: Kostina, Ekaterina
creator: Kostyukova, Olga
subject: 510
subject: 510 Mathematics
description: Many problems in physics and mathematics may be reduced to solving equations depending on a parameter. The justi cation of the existence of solutions to the equations and the sensitivity analysis maybe conducted based on Implicit Function Theorem (IFT) under certain regularity assumptions. Provided the regularity assumptions do not hold, generalizations of IFT are needed in order to study solutions to the equations. The paper focuses on a particular generalization of IFT which is then applied to a parametric linear time-optimal control problem.
date: 2005
type: Preprint
type: info:eu-repo/semantics/preprint
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/5293/1/kostina.pdf
identifier: DOI:10.11588/heidok.00005293
identifier: urn:nbn:de:bsz:16-heidok-52932
identifier:   Kostina, Ekaterina ; Kostyukova, Olga  (2005) Generalized Implicit Function Theorem and its Application to Parametric Optimal Control Problems.  [Preprint]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/5293/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng