Title
Analysis of Properties of the Solutions to Parametric Time-Optimal Problems
Abstract
We consider a linear time-optimal problem in which initial state values depend on a parameter and study the problem of the solution structure identification for small parameter perturbations. Properties of the time-optimal function and a point-set mapping, defined by optimal Lagrange vectors, are studied as well as the dependence of the solution on the parameter. Special attention is paid to the solution properties in irregular points.
Year
DOI
Venue
2003
10.1023/A:1026099606815
Comp. Opt. and Appl.
Keywords
Field
DocType
parametric time-optimal problems,dependence on a parameter,regular and irregular (bifurcation) points
Mathematical optimization,Mathematical analysis,Parametric statistics,Perturbation (astronomy),Mathematics
Journal
Volume
Issue
ISSN
26
3
1573-2894
Citations 
PageRank 
References 
2
0.62
0
Authors
2
Name
Order
Citations
PageRank
Olga Kostyukova1124.47
Ekaterina Kostina29115.23