Discrete relaxed method for semilinear parabolic optimal control problem

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

Abstrakty

EN

We consider an optimal control problem for systems governed by semilinear parabolic partial differential equations with control and state constraints, without any convexity assumptions. A discrete optimization method is proposed to solve this problem in its relaxed form which combines a penalized Armijo type method with a finite element discretization and constructs sequences of discrete Gamkrelidze relaxed controls. Under appropriate assumptions, we prove that accumulation points of these sequences satisfy the relaxed Pontryagin necessary conditions for optimality. Moreover, we show that the Gamkrelidze controls thus generated can be replaced by simulating piecewise constant classical controls.

Słowa kluczowe

EN

accumulation points; discrete optimisation method; discretization; distributed control; minimum principle; optimal control; parabolic equations; partial differential equations; penalty method; relaxed control; semilinear parabolic system

PL

sterowanie optymalne

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 1999
• Tom: Vol. 28, no 2
• Strony: 157--176
• Opis fizyczny: Bibliogr. 20 poz.,

Twórcy

autor

Chryssoverghi I.

autor

Coletsos J.

autor

Kokkinis B.