Semi-definite relaxations for optimal control problems with oscillation and concentration effects

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F17%3A00470207" target="_blank" >RIV/67985556:_____/17:00470207 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21110/17:00304724 RIV/68407700:21230/17:00304724

Výsledek na webu

<a href="http://dx.doi.org/10.1051/cocv/2015041" target="_blank" >http://dx.doi.org/10.1051/cocv/2015041</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1051/cocv/2015041" target="_blank" >10.1051/cocv/2015041</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Semi-definite relaxations for optimal control problems with oscillation and concentration effects

Popis výsledku v původním jazyce

Converging hierarchies of finite-dimensional semi-definite relaxations have been proposednfor state-constrained optimal control problems featuring oscillation phenomena, by relaxing controls as Young measures. These semi-definite relaxations were later on extended to optimal control problems depending linearly on the control input and typically featuring concentration phenomena, interpreting the control as a measure of time with a discrete singular component modeling discontinuities or jumps of the state trajectories. In this contribution, we use measures introduced originally by DiPerna and Majda in the partial differential equations literature to model simultaneously, and in a unified framework, possible oscillation and concentration effects of the optimal control policy. We show that hierarchies of semi-definite relaxations can also be constructed to deal numerically with nonconvex optimal control problems with polynomial vector field and semialgebraic state constraints

Název v anglickém jazyce

Semi-definite relaxations for optimal control problems with oscillation and concentration effects

Popis výsledku anglicky

Converging hierarchies of finite-dimensional semi-definite relaxations have been proposednfor state-constrained optimal control problems featuring oscillation phenomena, by relaxing controls as Young measures. These semi-definite relaxations were later on extended to optimal control problems depending linearly on the control input and typically featuring concentration phenomena, interpreting the control as a measure of time with a discrete singular component modeling discontinuities or jumps of the state trajectories. In this contribution, we use measures introduced originally by DiPerna and Majda in the partial differential equations literature to model simultaneously, and in a unified framework, possible oscillation and concentration effects of the optimal control policy. We show that hierarchies of semi-definite relaxations can also be constructed to deal numerically with nonconvex optimal control problems with polynomial vector field and semialgebraic state constraints

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

ESAIM-Control Optimisation and Calculus of Variations

ISSN

1292-8119

e-ISSN

—

Svazek periodika

23

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

FR - Francouzská republika

Počet stran výsledku

23

Strana od-do

95-117

Kód UT WoS článku

000391312400005

EID výsledku v databázi Scopus

2-s2.0-85007011714