Discrete approximation of nonconvex hyperbolic optimal control problems with state constraints

• Autorzy: Chryssoverghi I. , Bacopoulos A. , Coletsos J. , Kokkinis B.
• Języki publikacji: EN

Abstrakty

EN

We consider an opitmal control problem for systems defined by nonlinear hyperbolic partial differential equations with state constraints. Since no convexity assumptions are made on the data, we also consider the control problem in relaxed form. We discretize both the classical and the relaxed problenms by using a finite element method in space and a finite difference scheme in time, the controls being approximated by piecevise constant ones. We develop the existence theory and the necessary conditions for optimality, for the continous and the discrete problems. Finally, we study the behaviour in the limit of discrete optimality, admissibility and extremality properties.

Słowa kluczowe

EN

discretization; existence theory; minimum principle; nonlinear hyperbolic systems; optimal control; relaxed controls

PL

dyskretyzacja; nieliniowy układ hiperboliczny; sterowanie optymalne; zasada minimum

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 1998
• Tom: Vol. 27, no 1
• Strony: 29--50
• Opis fizyczny: Bibliogr. 21 poz.,

Twórcy

autor

Chryssoverghi I.

autor

Bacopoulos A.

autor

Coletsos J.

autor

Kokkinis B.