0470207 20240103213511.520170201235959.9 85007011714 000391312400005 10.1051/cocv/2015041 23 s. P cav_un_epca*02578551292-8119231 (2017)95-117EDP Sciences optimal control impulsive control semidefinite programming cav_un_auth*0057770 34 Claeys M. BE cav_un_auth*0015534 33 Henrion D. FR cav_un_auth*0101142 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory 33 Kružík Martin UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2017/MTR/kruzik-0470207.pdf Converging hierarchies of finite-dimensional semi-definite relaxations have been proposed for 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 BA 10000 10100 10101 2018 3 4 A hod 4ah 20231122142230.1 RVO:67985556 http://hdl.handle.net/11104/0270856 1 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED S 3+4 Article Automation Control Systems|Mathematics Applied 3+4 Article Automation Control Systems|Mathematics Applied 3+4 Article Automation Control Systems|Mathematics Applied MATHEMATICS.APPLIED|AUTOMATION&CONTROLSYSTEMS 1.461 0.423 8.1 0.00493 1.322 1179 1.050 1.216 71 Q2 84.589 46.8 Q1 Q2 0.75 Q2 66.468 2017 Soubory v repozitáři: kruzik-0470207.pdf 85007011714 SCOPUS PUBMED 000391312400005 WOS cav_un_epca*0257855 ESAIM-Control Optimisation and Calculus of Variations 1292-8119 1262-3377 Roč. 23 č. 1 2017 95 117 EDP Sciences