# Time optimal control of the heat equation with pointwise control constraints

ESAIM: Control, Optimisation and Calculus of Variations (2013)

- Volume: 19, Issue: 2, page 460-485
- ISSN: 1292-8119

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topKunisch, Karl, and Wang, Lijuan. "Time optimal control of the heat equation with pointwise control constraints." ESAIM: Control, Optimisation and Calculus of Variations 19.2 (2013): 460-485. <http://eudml.org/doc/272753>.

@article{Kunisch2013,

abstract = {Time optimal control problems for an internally controlled heat equation with pointwise control constraints are studied. By Pontryagin’s maximum principle and properties of nontrivial solutions of the heat equation, we derive a bang-bang property for time optimal control. Using the bang-bang property and establishing certain connections between time and norm optimal control problems for the heat equation, necessary and sufficient conditions for the optimal time and the optimal control are obtained.},

author = {Kunisch, Karl, Wang, Lijuan},

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

keywords = {bang-bang property; time optimal control; norm optimal control},

language = {eng},

number = {2},

pages = {460-485},

publisher = {EDP-Sciences},

title = {Time optimal control of the heat equation with pointwise control constraints},

url = {http://eudml.org/doc/272753},

volume = {19},

year = {2013},

}

TY - JOUR

AU - Kunisch, Karl

AU - Wang, Lijuan

TI - Time optimal control of the heat equation with pointwise control constraints

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2013

PB - EDP-Sciences

VL - 19

IS - 2

SP - 460

EP - 485

AB - Time optimal control problems for an internally controlled heat equation with pointwise control constraints are studied. By Pontryagin’s maximum principle and properties of nontrivial solutions of the heat equation, we derive a bang-bang property for time optimal control. Using the bang-bang property and establishing certain connections between time and norm optimal control problems for the heat equation, necessary and sufficient conditions for the optimal time and the optimal control are obtained.

LA - eng

KW - bang-bang property; time optimal control; norm optimal control

UR - http://eudml.org/doc/272753

ER -

## References

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