Sensitivity of optimal solutions to control problems for systems described by hemivariational inequalities

• Autorzy: Denkowski Z. , Migórski S.
• Języki publikacji: EN

Abstrakty

EN

In this paper the sensitivity of optimal solutions to control problems for the systems described by stationary and evolution heinivariational inequalities (HVIs) under perturbations of state relations and of cost functionals is investigated. First, basing on the theory of sequential [Gamma]-convergence we recall the abstract scheme concerning convergence of minimal values and minimizers. The abstract scheme works provided we can establish two properties: the Kuratowski convergence of solution sets for HVIs (state relations) and some complementary [Gamma]-convergence of the cost functionals. Then these two properties are implemented in each considered case.

Słowa kluczowe

EN

hemivariational inequality; control problem; sensitivity; Clarke subdifferential; multifunction; pseudomonotone and maximal monotone operators; G, PG and F convergences

PL

nierówność hemiwariacyjna; zagadnienie kontrolne; czułość; wielofunkcja; operator pseudomonotoniczny i ściśle monotoniczny

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2004
• Tom: Vol. 33, no 2
• Strony: 211--236
• Opis fizyczny: Bibliogr. 50 poz.

Twórcy

autor

Denkowski Z.

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

autor

Migórski S.

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

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