Control problems for systems described by hemivariational inequalities

• Autorzy: Denkowski Z.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

PL

konwergencja G i Gamma; nierówność hemiwariacyjna; operator pseudo-monotoniczny; problem Boltza; wielofunkcja; wrażliwość; zagadnienie poprawnie postawione; zagadnienie sterowania

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2002
• Tom: Vol. 31, no 3
• Strony: 713--738
• Opis fizyczny: Bibliogr. 40 poz.,

Twórcy

autor

Denkowski Z.

• Jagiellonian University, Faculty of Mathematics and Physics, Institute of Computer Sciences, ul. Nawojki 11, 30-072 Cracow, Poland