On the existence of optimal controls for nonlinear infinite dimensional systems

Antonella Fiacca; Nikolaos S. Papageorgiou; Francesca Papalini

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 2, page 291-312
  • ISSN: 0011-4642

Abstract

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We consider nonlinear systems with a priori feedback. We establish the existence of admissible pairs and then we show that the Lagrange optimal control problem admits an optimal pair. As application we work out in detail two examples of optimal control problems for nonlinear parabolic partial differential equations.

How to cite

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Fiacca, Antonella, Papageorgiou, Nikolaos S., and Papalini, Francesca. "On the existence of optimal controls for nonlinear infinite dimensional systems." Czechoslovak Mathematical Journal 48.2 (1998): 291-312. <http://eudml.org/doc/30419>.

@article{Fiacca1998,
abstract = {We consider nonlinear systems with a priori feedback. We establish the existence of admissible pairs and then we show that the Lagrange optimal control problem admits an optimal pair. As application we work out in detail two examples of optimal control problems for nonlinear parabolic partial differential equations.},
author = {Fiacca, Antonella, Papageorgiou, Nikolaos S., Papalini, Francesca},
journal = {Czechoslovak Mathematical Journal},
keywords = {evolution triple; optimal control; monotone operator; hemicontinuous operator; parabolic system; property $(Q)$; evolution triple; optimal control; monotone operator; hemicontinuous operator; parabolic system; property },
language = {eng},
number = {2},
pages = {291-312},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the existence of optimal controls for nonlinear infinite dimensional systems},
url = {http://eudml.org/doc/30419},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Fiacca, Antonella
AU - Papageorgiou, Nikolaos S.
AU - Papalini, Francesca
TI - On the existence of optimal controls for nonlinear infinite dimensional systems
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 2
SP - 291
EP - 312
AB - We consider nonlinear systems with a priori feedback. We establish the existence of admissible pairs and then we show that the Lagrange optimal control problem admits an optimal pair. As application we work out in detail two examples of optimal control problems for nonlinear parabolic partial differential equations.
LA - eng
KW - evolution triple; optimal control; monotone operator; hemicontinuous operator; parabolic system; property $(Q)$; evolution triple; optimal control; monotone operator; hemicontinuous operator; parabolic system; property
UR - http://eudml.org/doc/30419
ER -

References

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