Topological derivative for optimal control problems

• Autorzy: Sokołowski J. , Żochowski A.
• Języki publikacji: EN

Abstrakty

EN

The topological derivative is introduced for the extremal values of cost functionals for control problems. The optimal control problem considered in the paper is defined for the elliptic equation which models the deflection of an elastic membrane. The derivative measures the sensitivity of the optimal value of the cost with respect to changes in topology. A change in topology means removing a small ball from the interior of the domain of integration. The topological derivative can be used for obtaining the numerical solutions of the shape optimization problems.

Słowa kluczowe

EN

asymptotic expansion; control problems; shape derivative; shape optimization; topological derivative

PL

sterowanie optymalne

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 1999
• Tom: Vol. 28, no 3
• Strony: 611--625
• Opis fizyczny: Bibliogr. 9 poz.,Rys., wykr.,

Twórcy

autor

Sokołowski J.

autor

Żochowski A.

• Institut Elie Cartan, Laboratoire de Mathematiques, Universite Henri Poincare, Nancy I, B.P. 239. 54506 Vandoeuvre les Nancy Codex, France and Systems Research Institute of the Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland,