Naslov
Optimal control of parabolic equations by spectral decomposition

Autori
Molinari, Cesare ; Lazar, Martin

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
The 5th Najman conference on spectral problems for operators and matrices, Opatija, 10 - 15. rujna 2017. / - , 2017, 1-1

Skup
The 5th Najman conference on spectral problems for operators and matrices

Mjesto i datum
Opatija, Hrvatska, 10.09.2017. - 15.09.2017

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
optimal control ; parabolic equations ; spectral decomposition ; convex optimization

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA