eprintid: 5293
rev_number: 8
eprint_status: archive
userid: 1
dir: disk0/00/00/52/93
datestamp: 2005-02-16 13:55:25
lastmod: 2015-04-25 20:44:43
status_changed: 2012-08-14 15:14:15
type: preprint
metadata_visibility: show
creators_name: Kostina, Ekaterina
creators_name: Kostyukova, Olga
title: Generalized Implicit Function Theorem and its Application to Parametric Optimal Control Problems
ispublished: pub
subjects: 510
divisions: 708000
keywords: implicit function theorem , bifurcations , parametric time-optimal control problems , dependence on parameter
cterms_swd: Satz ueber implizite Funktion
cterms_swd: Bifurkationen
cterms_swd: parametrische zeit-optimale Steuerungsprobleme
cterms_swd: Parameterabhängigkeit
abstract: 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.
abstract_translated_lang: eng
date: 2005
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00005293
portal_cluster_id: p-iwrpp
portal_order: 05293
ppn_swb: 1646174712
own_urn: urn:nbn:de:bsz:16-heidok-52932
language: eng
bibsort: KOSTINAEKAGENERALIZE2005
full_text_status: public
series: IWR-Preprints
citation:   Kostina, Ekaterina ; Kostyukova, Olga  (2005) Generalized Implicit Function Theorem and its Application to Parametric Optimal Control Problems.  [Preprint]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/5293/1/kostina.pdf