Naslov
Optimal control of parabolic equations by spectral decomposition

Autori
Lazar, Martin ; Molinari, Cesare ; Peypouquet, Juan

Izvornik
Optimization (0233-1934) 66 (2017), 8; 1359-1381

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
This paper deals with an optimal control problem of Bolza type for a class of parabolic equa- tions. It consists in finding the initial datum that minimises a cost functional, which comprises an energy term on the control and a regulation term given by a distributed cost on the state, and such that the final state lies within a prescribed distance to a given target. Beyond the particularities of the chosen problem, our aim here is to propose a new methodology −based on a spectral decomposition of the operator governing the evolution of the system−, describe its implementation for this kind of problem, and finally perform some preliminary numerical experiments to assess its behavior.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA