Mangasarian-type Sufficient Optimality Conditions for Age-Structured Control Problems with State Constraints. An Application to Investment in Vintage Capital

Krastev, Vladimir. "Mangasarian-type Sufficient Optimality Conditions for Age-Structured Control Problems with State Constraints. An Application to Investment in Vintage Capital." Serdica Mathematical Journal 39.2 (2013): 155-188. <http://eudml.org/doc/294971>.

@article{Krastev2013,
abstract = {[Krastev Vladimir; Кръстев Владимир]We consider a class of age-structured control problems with state constraints, nonlocal dynamics and boundary conditions, defined on finite time intervals. For these problems we suggest Mangasarian-type sufficient conditions for the optimality of the control. As an application we consider a model with a state constraint of optimal investment in vintage capital goods. To solve this model we suggest a numerical method and we prove that this method converges to an optimal solution. 2010 Mathematics Subject Classification: 49K20, 49K21, 49N90, 49M30.},
author = {Krastev, Vladimir},
journal = {Serdica Mathematical Journal},
keywords = {Age-structured optimal control with state constraints; sufficient conditions for optimality; vintage capital goods; shooting method},
language = {eng},
number = {2},
pages = {155-188},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {Mangasarian-type Sufficient Optimality Conditions for Age-Structured Control Problems with State Constraints. An Application to Investment in Vintage Capital},
url = {http://eudml.org/doc/294971},
volume = {39},
year = {2013},
}

TY - JOUR
AU - Krastev, Vladimir
TI - Mangasarian-type Sufficient Optimality Conditions for Age-Structured Control Problems with State Constraints. An Application to Investment in Vintage Capital
JO - Serdica Mathematical Journal
PY - 2013
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 39
IS - 2
SP - 155
EP - 188
AB - [Krastev Vladimir; Кръстев Владимир]We consider a class of age-structured control problems with state constraints, nonlocal dynamics and boundary conditions, defined on finite time intervals. For these problems we suggest Mangasarian-type sufficient conditions for the optimality of the control. As an application we consider a model with a state constraint of optimal investment in vintage capital goods. To solve this model we suggest a numerical method and we prove that this method converges to an optimal solution. 2010 Mathematics Subject Classification: 49K20, 49K21, 49N90, 49M30.
LA - eng
KW - Age-structured optimal control with state constraints; sufficient conditions for optimality; vintage capital goods; shooting method
UR - http://eudml.org/doc/294971
ER -