bibtype	J - Journal Article
ARLID	0470207
utime	20240103213511.5
mtime	20170201235959.9
SCOPUS	85007011714
WOS	000391312400005
DOI	10.1051/cocv/2015041
title (primary) (eng)	Semi-definite relaxations for optimal control problems with oscillation and concentration effects
specification	page_count 23 s. media_type P
serial	ARLID cav_un_epca*0257855 ISSN 1292-8119 title ESAIM-Control Optimisation and Calculus of Variations volume_id 23 volume 1 (2017) page_num 95-117 publisher name EDP Sciences
keyword	optimal control
keyword	impulsive control
keyword	semidefinite programming
author (primary)	ARLID cav_un_auth*0057770 share 34 name1 Claeys name2 M. country BE
author	ARLID cav_un_auth*0015534 share 33 name1 Henrion name2 D. country FR
author	ARLID cav_un_auth*0101142 full_dept (cz) Matematická teorie rozhodování full_dept Department of Decision Making Theory department (cz) MTR department MTR full_dept Department of Decision Making Theory share 33 name1 Kružík name2 Martin institution UTIA-B fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source	url http://library.utia.cas.cz/separaty/2017/MTR/kruzik-0470207.pdf
cas_special	abstract (eng) Converging hierarchies of finite-dimensional semi-definite relaxations have been proposed\nfor 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 RIV BA FORD0 10000 FORD1 10100 FORD2 10101 reportyear 2018 num_of_auth 3 mrcbC52 4 A hod 4ah 20231122142230.1 inst_support RVO:67985556 permalink http://hdl.handle.net/11104/0270856 mrcbC62 1 mrcbC64 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED confidential S mrcbC86 3+4 Article Automation Control Systems|Mathematics Applied mrcbC86 3+4 Article Automation Control Systems|Mathematics Applied mrcbC86 3+4 Article Automation Control Systems|Mathematics Applied mrcbT16-e AUTOMATIONCONTROLSYSTEMS|MATHEMATICSAPPLIED mrcbT16-j 1.322 mrcbT16-s 1.050 mrcbT16-B 84.589 mrcbT16-D Q1 mrcbT16-E Q2 arlyear 2017 mrcbTft \nSoubory v repozitáři: kruzik-0470207.pdf mrcbU14 85007011714 SCOPUS mrcbU24 PUBMED mrcbU34 000391312400005 WOS mrcbU63 cav_un_epca*0257855 ESAIM-Control Optimisation and Calculus of Variations 1292-8119 1262-3377 Roč. 23 č. 1 2017 95 117 EDP Sciences