Počet záznamů: 1
Control and controllability of PDEs with hysteresis
- 1.0544060 - MÚ 2022 RIV US eng J - Článek v odborném periodiku
Gavioli, C. - Krejčí, Pavel
Control and controllability of PDEs with hysteresis.
Applied Mathematics and Optimization. Roč. 84, č. 1 (2021), s. 829-847. ISSN 0095-4616. E-ISSN 1432-0606
Institucionální podpora: RVO:67985840
Klíčová slova: partial differential equations * optimal control * controllability * hysteresis
Obor OECD: Pure mathematics
Impakt faktor: 2.194, rok: 2021
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s00245-020-09663-6
A controllability problem for a diffusion equation with a complex hysteresis operator is proposed here and consists in finding a control which guarantees that the solution reaches a desired value at a given time. We propose a constructive method based on a two-parameter penalty argument. One small parameter penalizes the distance of the solution at final time from the expected value, the second one is used to approximate the underlying rate independent variational inequalities in the hysteresis term by smooth viscous constitutive relations. We prove that a solution to the controllability problem can be obtained by passing to the limit in a doubly degenerate control system, and the convergence is strong in space and uniform in time.
Trvalý link: http://hdl.handle.net/11104/0321116
Název souboru Staženo Velikost Komentář Verze Přístup Krejci.pdf 5 311.9 KB Vydavatelský postprint vyžádat
Počet záznamů: 1