- Tytuł:
- Control problems for systems described by hemivariational inequalities
- Autorzy:
- Denkowski, Z.
- Powiązania:
- https://bibliotekanauki.pl/articles/206594.pdf
- Data publikacji:
- 2002
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
konwergencja G i Gamma
nierówność hemiwariacyjna
operator pseudo-monotoniczny
problem Boltza
wielofunkcja
wrażliwość
zagadnienie poprawnie postawione
zagadnienie sterowania
Clarke subdifferential
control problems (Bolza problem, identification of parameters, optimal shape design)
G and Gamma convergence
hemivariational inequalities
multifunctions
pseudo-monotone operators
sensitivity
well-posedness - Opis:
- The paper considers some control problems for the systems described by the evolution, as well as the stationary hemivariational inequalities (HVIs for short). First, basing on surjectivity theorems for pseudo-monotone operators we formulate some existence results for the solutions of the HVIs and investigate some properties of the solution set (like sensitivity; i.e. its dependence on data and operators). Next we quote some existence theorems for optimal solutions for various classes of optimal control like distributed control (e.g. Bolza problem), identification of parameters, or optimal shape design for systems described by HVIs. Finally, we discuss some common features in getting the existence of optimal solutions as well as some "well-posedness" problems.
- Źródło:
-
Control and Cybernetics; 2002, 31, 3; 713-738
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł