Naslov
Constrained Linear-Quadratic Optimization Problems with Parameter Dependent Entries

Autori
Lazar, Martin

Vrsta, podvrsta
Radovi u časopisima, znanstveni

Izvornik
Journal of optimization theory and applications (2023)

Status rada
Prihvaćen

Ključne riječi
LQ optimization Parametrized PDEs Optimal controls Optimal approximate solutions Convergence of minimizers

Sažetak
The paper provides strong convergence of solutions to a sequence of linear-quadratic (LQ) optimization problems de ned in an abstract functional framework. Each problem is accompanied by the constraint of reaching a given target within a prescribed precision. We show that the problems are well posed and characterise their solutions. The main result provides the conditions under which these solutions converge to the minimizer of the limit problem. The generality of the result allows its application to a wide range of problems: elliptic, parabolic, control ones etc. The examples presented in the paper consider optimal approximate controls of the heat equation and optimal approximate solutions to the Poisson equation.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA