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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Applied Mathematics ...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Applied Mathematics & Optimization
Article . 1994 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1994
Data sources: zbMATH Open
https://doi.org/10.1109/cdc.19...
Article . 2002 . Peer-reviewed
Data sources: Crossref
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Optimal control of parabolic problems with state constraints: a penalization method for optimality conditions

Optimal control of parabolic problems with state constraints: A penalization method for optimality conditions
Authors: Bergounioux, Maïtine;

Optimal control of parabolic problems with state constraints: a penalization method for optimality conditions

Abstract

The author studies state constrained optimal control problems with parabolic evolution equations. Optimality conditions are derived where the state and control expressions have been decoupled. The approach used is to consider a family of problems where deviation of the dynamics from feasibility is penalized through a parameter \(\varepsilon\). Decoupled optimality conditions are determined for each of these problems. Using Slater-like assumptions the limit of these optimality conditions provide optimality conditions for the original problem and the existence of Lagrange multipliers. The method is demonstrated on a distributed control problem with a Dirichlet boundary condition, and a boundary control problem with a Neumann boundary condition.

Related Organizations
Keywords

optimal control, optimality conditions, Lagrange multipliers, Dirichlet boundary condition, Neumann boundary condition, Initial value problems for linear higher-order PDEs, Optimality conditions for problems involving partial differential equations, parabolic evolution equations, Higher-order parabolic equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
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