On the regularization error of state constrained Neumann control problems

Klaus Krumbiegel; Arnd Rösch

Displaying similar documents to “On the regularization error of state constrained Neumann control problems”

On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints

Ira Neitzel, Fredi Tröltzsch (2009)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we study Lavrentiev-type regularization concepts for linear-quadratic parabolic control problems with pointwise state constraints. In the first part, we apply classical Lavrentiev regularization to a problem with distributed control, whereas in the second part, a Lavrentiev-type regularization method based on the adjoint operator is applied to boundary control problems with state constraints in the whole domain. The analysis for both classes of control problems is investigated...

Error estimates for the finite-element approximation of an elliptic control problem with pointwise state and control constraints

C. Meyer (2008)

Control and Cybernetics

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On convergence of regularization methods for nonlinear parabolic optimal control problems with control and state constraints

Ira Neitzel, Fredi Tröltzsch (2008)

Control and Cybernetics

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The non-parameter penalty function method in constrained optimal control problems.

Xing, An-Qing (1991)

Journal of Applied Mathematics and Stochastic Analysis

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On some new phenomena in state-constrained optimal control if ODEs as well as PDEs are involved

Hans Pesch, Armin Rund, Wolf von Wahl, Stefan Wendl (2010)

Control and Cybernetics

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Optimal boundary control for hyperdiffusion equation

Hanif Heidari, Alaeddin Malek (2010)

Kybernetika

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In this paper, we consider the solution of optimal control problem for hyperdiffusion equation involving boundary function of continuous time variable in its cost function. A specific direct approach based on infinite series of Fourier expansion in space and temporal integration by parts for analytical solution is proposed to solve optimal boundary control for hyperdiffusion equation. The time domain is divided into number of finite subdomains and optimal function is estimated at each...

Control structure in optimization problems of bar systems

Leszek Mikulski (2004)

International Journal of Applied Mathematics and Computer Science

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Optimal design problems in mechanics can be mathematically formulated as optimal control tasks. The minimum principle is employed in solving such problems. This principle allows us to write down optimal design problems as Multipoint Boundary Value Problems (MPBVPs). The dimension of MPBVPs is an essential restriction that decides on numerical difficulties. Optimal control theory does not give much information about the control structure, i.e., about the sequence of the forms of the right-hand...