Title
On Numerical Solution of Singularly Perturbed Optimal Control Problems.
Abstract
We study singularly perturbed optimal control problems in which optimal controls may take the form of rapidly oscillating functions. Such rapidly oscillating controls can be constructed on the basis of solutions of certain approximating averaged optimal control problems. We proposed an iterative algorithm for finding numerical solutions of the latter. The effectiveness of the algorithms is demonstrated with the help of numerical examples.
Year
DOI
Venue
2017
10.1007/s10957-017-1138-8
J. Optimization Theory and Applications
Keywords
Field
DocType
Fixed-point iteration,Optimal control,Singularly perturbed systems,Time averaging,49J15,65L11,49M25
Oscillation,Mathematical optimization,Optimal control,Mathematical analysis,Iterative method,Control theory,Fixed-point iteration,Mathematics of oscillation,Mathematics
Journal
Volume
Issue
ISSN
174
3
0022-3239
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
Gaitsgory, V.1123.64
M. Gerdts25811.18