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

Result code in 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>

Alternative codes found

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

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

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

Name of the periodical

ESAIM-Control Optimisation and Calculus of Variations

ISSN

1292-8119

e-ISSN

—

Volume of the periodical

23

Issue of the periodical within the volume

1

Country of publishing house

FR - FRANCE

Number of pages

23

Pages from-to

95-117

UT code for WoS article

000391312400005

EID of the result in the Scopus database

2-s2.0-85007011714