On asymptotic exit-time control problems lacking coercivity

M. Motta; C. Sartori

ESAIM: Control, Optimisation and Calculus of Variations (2014)

  • Volume: 20, Issue: 4, page 957-982
  • ISSN: 1292-8119

Abstract

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The research on a class of asymptotic exit-time problems with a vanishing Lagrangian, begun in [M. Motta and C. Sartori, Nonlinear Differ. Equ. Appl. Springer (2014).] for the compact control case, is extended here to the case of unbounded controls and data, including both coercive and non-coercive problems. We give sufficient conditions to have a well-posed notion of generalized control problem and obtain regularity, characterization and approximation results for the value function of the problem.

How to cite

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Motta, M., and Sartori, C.. "On asymptotic exit-time control problems lacking coercivity." ESAIM: Control, Optimisation and Calculus of Variations 20.4 (2014): 957-982. <http://eudml.org/doc/272868>.

@article{Motta2014,
abstract = {The research on a class of asymptotic exit-time problems with a vanishing Lagrangian, begun in [M. Motta and C. Sartori, Nonlinear Differ. Equ. Appl. Springer (2014).] for the compact control case, is extended here to the case of unbounded controls and data, including both coercive and non-coercive problems. We give sufficient conditions to have a well-posed notion of generalized control problem and obtain regularity, characterization and approximation results for the value function of the problem.},
author = {Motta, M., Sartori, C.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {exit-time problems; impulsive optimal control problems; viscosity solutions; asymptotic controllability; exit-time control problems},
language = {eng},
number = {4},
pages = {957-982},
publisher = {EDP-Sciences},
title = {On asymptotic exit-time control problems lacking coercivity},
url = {http://eudml.org/doc/272868},
volume = {20},
year = {2014},
}

TY - JOUR
AU - Motta, M.
AU - Sartori, C.
TI - On asymptotic exit-time control problems lacking coercivity
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2014
PB - EDP-Sciences
VL - 20
IS - 4
SP - 957
EP - 982
AB - The research on a class of asymptotic exit-time problems with a vanishing Lagrangian, begun in [M. Motta and C. Sartori, Nonlinear Differ. Equ. Appl. Springer (2014).] for the compact control case, is extended here to the case of unbounded controls and data, including both coercive and non-coercive problems. We give sufficient conditions to have a well-posed notion of generalized control problem and obtain regularity, characterization and approximation results for the value function of the problem.
LA - eng
KW - exit-time problems; impulsive optimal control problems; viscosity solutions; asymptotic controllability; exit-time control problems
UR - http://eudml.org/doc/272868
ER -

References

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