Number of the records: 1
Optimal control problems with oscillations, concentrations and discontinuities
- 1.0501852 - ÚTIA 2020 RIV NL eng J - Journal Article
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
R&D Projects: GA ČR GA17-04301S
Institutional support: RVO:67985556
Keywords : Optimal control * Functional Analysis * Optimization
OECD category: Pure mathematics
Impact factor: 5.541, year: 2019
Method of publishing: Limited access
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.
Permanent Link: http://hdl.handle.net/11104/0294169
Number of the records: 1