TY  - GEN
AV  - public
TI  - Generalized Implicit Function Theorem and its Application to Parametric Optimal Control Problems
T3  - IWR-Preprints
Y1  - 2005///
ID  - heidok5293
KW  - implicit function theorem 
KW  -  bifurcations 
KW  -  parametric time-optimal control problems 
KW  -  dependence on parameter
A1  - Kostina, Ekaterina
A1  - Kostyukova, Olga
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/5293/
N2  - 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.
ER  -