# On asymptotic exit-time control problems lacking coercivity

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

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

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topMotta, 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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