An Exact and Approximate Schur Complement Method for Time-Harmonic Optimal Control Problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F25%3A00605609" target="_blank" >RIV/68145535:_____/25:00605609 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1002/nla.70004" target="_blank" >https://doi.org/10.1002/nla.70004</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nla.70004" target="_blank" >10.1002/nla.70004</a>

Jazyk výsledku

angličtina

Název v původním jazyce

An Exact and Approximate Schur Complement Method for Time-Harmonic Optimal Control Problems

Popis výsledku v původním jazyce

Time-harmonic control problems, constrained by a linear differential equation, can be solved efficiently by utilizing a Fourier time series expansion in the angular frequency variable. Then the optimal solution consists of a series of complex variable space discretization equations, which are uncoupled with respect to the different frequencies. Hence, it suffices to consider a single equation with the angular frequency as a parameter. We consider here methods to solve the so-arising linear system of equations and describe, analyze and test the performance of two novel approaches based on its exact and approximate Schur complement. The performance of the methods is tested and compared with another existing method.

Název v anglickém jazyce

An Exact and Approximate Schur Complement Method for Time-Harmonic Optimal Control Problems

Popis výsledku anglicky

Time-harmonic control problems, constrained by a linear differential equation, can be solved efficiently by utilizing a Fourier time series expansion in the angular frequency variable. Then the optimal solution consists of a series of complex variable space discretization equations, which are uncoupled with respect to the different frequencies. Hence, it suffices to consider a single equation with the angular frequency as a parameter. We consider here methods to solve the so-arising linear system of equations and describe, analyze and test the performance of two novel approaches based on its exact and approximate Schur complement. The performance of the methods is tested and compared with another existing method.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Numerical Linear Algebra with Applications

ISSN

1070-5325

e-ISSN

1099-1506

Svazek periodika

32

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

14

Strana od-do

e70004

Kód UT WoS článku

001396508800001

EID výsledku v databázi Scopus

2-s2.0-85215265076