Optimal control problems with oscillations, concentrations and discontinuities

0501852 - ÚTIA 2020 RIV NL eng J - Článek v odborném periodiku
Henrion, D. - Kružík, Martin - Weisser, T.
Optimal control problems with oscillations, concentrations and discontinuities.
Automatica. Roč. 103, č. 1 (2019), s. 159-165. ISSN 0005-1098. E-ISSN 1873-2836
Grant CEP: GA ČR GA17-04301S
Institucionální podpora: RVO:67985556
Klíčová slova: Optimal control * Functional Analysis * Optimization
Obor OECD: Pure mathematics
Impakt faktor: 5.541, rok: 2019
Způsob publikování: Omezený přístup
http://library.utia.cas.cz/separaty/2019/MTR/kruzik-0501852.pdf https://www.sciencedirect.com/science/article/pii/S0005109819300378

Optimal control problems with oscillations (chattering controls) and concentrations (impulsive controls) can have integral performance criteria such that concentration of the control signal occurs at a discontinuity of the state signal. Techniques from functional analysis (anisotropic parametrized measures) are applied to give a precise meaning of the integral cost and to allow for the sound application of numerical methods. We show how this can be combined with the Lasserre hierarchy of semidefinite programming relaxations.
Trvalý link: http://hdl.handle.net/11104/0294169