Relaxation of optimal control problems in 𝖫 𝗉 -spaces

Nadir Arada

ESAIM: Control, Optimisation and Calculus of Variations (2001)

  • Volume: 6, page 73-95
  • ISSN: 1292-8119

Abstract

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We consider control problems governed by semilinear parabolic equations with pointwise state constraints and controls in an L p -space ( p < ). We construct a correct relaxed problem, prove some relaxation results, and derive necessary optimality conditions.

How to cite

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Arada, Nadir. "Relaxation of optimal control problems in $\sf L^p$-spaces." ESAIM: Control, Optimisation and Calculus of Variations 6 (2001): 73-95. <http://eudml.org/doc/90614>.

@article{Arada2001,
abstract = {We consider control problems governed by semilinear parabolic equations with pointwise state constraints and controls in an $L^p$-space ($p&lt;\infty $). We construct a correct relaxed problem, prove some relaxation results, and derive necessary optimality conditions.},
author = {Arada, Nadir},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {optimal control problems; relaxation; generalized Young measures; stability properties; Pontryagin’s principle; relaxed controls; noncompact control sets; compactification; semilinear control systems; necessary optimality conditions},
language = {eng},
pages = {73-95},
publisher = {EDP-Sciences},
title = {Relaxation of optimal control problems in $\sf L^p$-spaces},
url = {http://eudml.org/doc/90614},
volume = {6},
year = {2001},
}

TY - JOUR
AU - Arada, Nadir
TI - Relaxation of optimal control problems in $\sf L^p$-spaces
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2001
PB - EDP-Sciences
VL - 6
SP - 73
EP - 95
AB - We consider control problems governed by semilinear parabolic equations with pointwise state constraints and controls in an $L^p$-space ($p&lt;\infty $). We construct a correct relaxed problem, prove some relaxation results, and derive necessary optimality conditions.
LA - eng
KW - optimal control problems; relaxation; generalized Young measures; stability properties; Pontryagin’s principle; relaxed controls; noncompact control sets; compactification; semilinear control systems; necessary optimality conditions
UR - http://eudml.org/doc/90614
ER -

References

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