# Regularity along optimal trajectories of the value function of a Mayer problem

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 10, Issue: 4, page 666-676
- ISSN: 1292-8119

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topSinestrari, Carlo. "Regularity along optimal trajectories of the value function of a Mayer problem." ESAIM: Control, Optimisation and Calculus of Variations 10.4 (2010): 666-676. <http://eudml.org/doc/90750>.

@article{Sinestrari2010,

abstract = {
We consider an optimal control problem of Mayer type and prove that,
under suitable conditions on the system, the value function is
differentiable along optimal trajectories, except possibly at the
endpoints. We provide counterexamples to show that this property may fail
to hold if some of our conditions are violated. We then apply our regularity
result to derive optimality conditions for the trajectories of the system.
},

author = {Sinestrari, Carlo},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Optimal control; value function; semiconcavity.; optimal control; semiconcavity},

language = {eng},

month = {3},

number = {4},

pages = {666-676},

publisher = {EDP Sciences},

title = {Regularity along optimal trajectories of the value function of a Mayer problem},

url = {http://eudml.org/doc/90750},

volume = {10},

year = {2010},

}

TY - JOUR

AU - Sinestrari, Carlo

TI - Regularity along optimal trajectories of the value function of a Mayer problem

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 10

IS - 4

SP - 666

EP - 676

AB -
We consider an optimal control problem of Mayer type and prove that,
under suitable conditions on the system, the value function is
differentiable along optimal trajectories, except possibly at the
endpoints. We provide counterexamples to show that this property may fail
to hold if some of our conditions are violated. We then apply our regularity
result to derive optimality conditions for the trajectories of the system.

LA - eng

KW - Optimal control; value function; semiconcavity.; optimal control; semiconcavity

UR - http://eudml.org/doc/90750

ER -

## References

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