Dual dynamic approach to shape optimization

• Autorzy: Fulmański P. , Nowakowski A.
• Języki publikacji: EN

Abstrakty

EN

We consider the control problem with multidimensional integral functional where state and control satisfy a system of the first order hyperbolic PDE. Next, a type of deformation with control of the domain is described and then we define suitable shape functional. Having defined trajectory and control of deformation the dual dynamic programming tools are applied to derive optimality condition for the shape functional with respect to such a deformation.

Słowa kluczowe

EN

control; deformation; dual dynamic programming; shape functional

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2006
• Tom: Vol. 35, no 2
• Strony: 205--218
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Fulmański P.

autor

Nowakowski A.

• Faculty of Mathematics, University of Łódź, Banacha 22, 90-232 Łódź, Poland,

Bibliografia

• GALEWSKA, E. and NOWAKOWSKI, A. (2003) Multidimensional dual dynamic programming. Accepted in Journal of Optmization Theory and Application.
• NAZAROV, S.A. and SOKOLOWSKI, J. (2003) Asymptotic analysis of shape functionals. Journal de Mathematiques pures et appliquees 82, 125 - 196.
• NOWAKOWSKI, A. (1992) The dual dynamic programming. Proceedings of the American Mathematical Society 116 (4), 1089 - 1096.
• PICKENHAIN, S. (2001) Duality in optimal control with first order differential equations. In: C.A. Floudas and P.M. Pardalos, Encyclopedia of Optimization, I, 472 - 477.
• SOKOLOWSKI, J. and ZOCHOWSKI, A, (1999) Topological derivative for optimal control problem. Control and Cybernetics 28 (3), 611 - 625.
• SOKOLOWSKI, J. and ZOLESIO, J.P. (1992) Introduction to Shape Optimization. Springer - Verlag.