Optimal control of parabolic equations by spectral decomposition (CROSBI ID 654983)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa
Podaci o odgovornosti
Molinari, Cesare ; Lazar, Martin
engleski
Optimal control of parabolic equations by spectral decomposition
This talk deals with an optimal control problems of Bolza type for a class of parabolic equations. The aim is to present a new methodology − based on a spectral decomposition of the operator governing the evolution of the system. Its implementation is described for a particular problem which consists in finding the initial datum that minimises a particular cost functional and ensures that the final state lies within a prescribed distance to a given target. The method leads us to an explicit expression of the optimal final state in terms of the given problem data. The obtained expression, combined with standard optimal control arguments enable construction of a one-shot algorithm providing an approximate solution. Its efficiency is assessed through numerical experiments. Application of the method to a distributed control problem will be discussed as well.
optimal control ; parabolic equations ; spectral decomposition ; convex optimization
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Podaci o prilogu
1-1.
2017.
objavljeno
Podaci o matičnoj publikaciji
The 5th Najman conference on spectral problems for operators and matrices, Opatija, 10 - 15. rujna 2017.
Podaci o skupu
The 5th Najman conference on spectral problems for operators and matrices
predavanje
10.09.2017-15.09.2017
Opatija, Hrvatska