Interior sphere property for level sets of the value function of an exit time problem
ESAIM: Control, Optimisation and Calculus of Variations (2009)
- Volume: 15, Issue: 1, page 102-116
- ISSN: 1292-8119
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Abstract
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topCastelpietra, Marco. "Interior sphere property for level sets of the value function of an exit time problem." ESAIM: Control, Optimisation and Calculus of Variations 15.1 (2009): 102-116. <http://eudml.org/doc/250575>.
@article{Castelpietra2009,
abstract = {
We consider an optimal control problem for a system of the form
$\dot\{x\}$ = f(x,u), with a running cost L. We prove an interior
sphere property for the level sets of the corresponding value
function V. From such a property we obtain a semiconcavity
result for V, as well as perimeter estimates for the attainable
sets of a symmetric control system.
},
author = {Castelpietra, Marco},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Control theory; interior sphere property; value
function; semiconcavity; perimeter; control theory; value function},
language = {eng},
month = {1},
number = {1},
pages = {102-116},
publisher = {EDP Sciences},
title = {Interior sphere property for level sets of the value function of an exit time problem},
url = {http://eudml.org/doc/250575},
volume = {15},
year = {2009},
}
TY - JOUR
AU - Castelpietra, Marco
TI - Interior sphere property for level sets of the value function of an exit time problem
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2009/1//
PB - EDP Sciences
VL - 15
IS - 1
SP - 102
EP - 116
AB -
We consider an optimal control problem for a system of the form
$\dot{x}$ = f(x,u), with a running cost L. We prove an interior
sphere property for the level sets of the corresponding value
function V. From such a property we obtain a semiconcavity
result for V, as well as perimeter estimates for the attainable
sets of a symmetric control system.
LA - eng
KW - Control theory; interior sphere property; value
function; semiconcavity; perimeter; control theory; value function
UR - http://eudml.org/doc/250575
ER -
References
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