Exact penalization of pointwise constraints for optimal control problems

• Autorzy: Casas E.
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider a control problem governed by a semilinear elliptic equation with pointwise control and state constraints. We analyze the existence of an exact penalization of the state constraints. In particular, we prove that the first and second order optimality conditions imply the existence of such a penalization. Finally, we prove some extra regularity of the strict local minima of the control problem, assuming the existence of an exact penalization for them.

Słowa kluczowe

EN

optimal control; semilinear elliptic equations; pointwise state constraints; exact penalization; first and second order optimality conditions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2009
• Tom: Vol. 38, no 4A
• Strony: 1131--1150
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Casas E.

• Dpto. de Matematica Aplicada y Ciencias de la Computacion, E.T.S.I. Industrials y de Telecomunicacion, Universidad de Cantabria, 39005 Santander, Spain,

Bibliografia

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• CASAS, E., DE LOS REYES, J.C. and TRÖLTZSCH, F. (2008) Sufficient second order optimality conditions for semilinear control problems with pointwise state constraints. SIAM J. Optim. 19 (2), 616-643.
• CASAS, E. and TRÖLTZSCH, F. (2009) Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems. ESAIM: COCV, DOI:10.1051/cocv/2009010.
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