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    Wyświetlanie 1-11 z 11
    Tytuł:
    Stability analysis of relaxed Dirichlet boundary control problems
    Autorzy:
    Arada, N.
    Raymond, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/206117.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    pomiary Younga
    relaksacja
    sterowanie
    control problems
    Dirichlet boundary control
    pointwise state constraints
    relaxation
    stability properties
    Young measures
    Opis:
    We study the relaxation by Young measures of a Dirichlet control problem with pointwise state constraints. We give a necessary and sufficient condition for the properness of the relaxation. This condition is expressed in terms of stability properties, for the original control problem, with respect to geometrical perturbations of state constraints.
    Źródło:
    Control and Cybernetics; 1999, 28, 1; 35-51
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On solvability of boundary value problems in elastoplasticity
    Autorzy:
    Chludnev, A.
    Sokołowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/205983.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    elastoplastyczność
    pękanie
    zagadnienie brzegowe
    boundary problem
    cracks
    elastoplasticity
    penalty
    regularization
    Opis:
    In the paper the existence of a solution to the thress-dimensional elastoplastic problem with the Prandtl-Reuss constitutive law and the Neumann boundary conditions is established. The proof is based on a suitable combination of the parabolic regularization of equations and the penalty method for the elastoplastic yield condition. The method is applied in the case of the domain with smooth boundary as well as in the case of an interior crack. It is shown that the weak solutions to the elastoplastic problem satisfying the variational inequality meet all boundary conditions.
    Źródło:
    Control and Cybernetics; 1998, 27, 2; 311-330
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Second-order conditions for boundary control problems of the Burgers equation
    Autorzy:
    Volkwein, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/206716.pdf
    Data publikacji:
    2001
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    równanie Burgersa
    stan optymalności
    sterowanie optymalne
    wielościenność
    Burgers' eguation
    optimal control
    optimality conditions
    polyhedricity
    Opis:
    In this article control constrained optimal control problems for the Burgers equation are considered. First- and second-order optimality conditions are presented. Utilizing polyhedricity of the feasible set and the theory of Legendre-forms a second-order sufficient optimality condition is given that is very close to the second-order necessary optimality condition. For the numerical realization a prima-dual actrive set strategy is used.
    Źródło:
    Control and Cybernetics; 2001, 30, 3; 249-278
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Three boundary value problems for second order differential inclusions in Banach spaces
    Autorzy:
    Azzam, D.
    Castaing, C.
    Thibault, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/205529.pdf
    Data publikacji:
    2002
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    całka Pettisa
    druga pochodna
    miara Younga
    punkt ekstremum
    relaksacja
    warunek brzegowy
    wielofunkcja
    boundary
    extreme point
    multifunction
    Pettis integral
    relaxation
    second derivative
    Young measure
    Opis:
    The paper studies, in the context of Banach spaces, the problem of three boundary conditions for both second order differential inclusions and second order ordinary differential equations. The results are obtained in several new settings of Sobolev-type spaces involving Bochner and Pettis integrals. Some classes of second order multivalued evolution equations associated with m-accretive operators are also considered. Applications to some control problems are provided with the help of narrow convergence for Young measures.
    Źródło:
    Control and Cybernetics; 2002, 31, 3; 659-693
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimality conditions for a class of optimal boundary control problems with quasilinear elliptic equations
    Autorzy:
    Casas, E.
    Dhamo, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/206408.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optimal control
    Neumann boundary control
    quasi-linear elliptic equation
    Pontryagin principle
    second order optimality conditions
    Opis:
    First- and second-order optimality conditions are established for the boundary optimal control of quasilinear elliptic equations with pointwise constraints on the control. The theory is developed for Neumann controls in polygonal domains of dimension two. For the derivation of second-order sufficient optimality conditions, which is the main goal of this paper, the regularity of the solutions to the state equation and its linearization is studied in detail. Moreover, a Pontryagin principle is proved. The main difficulty in the analysis of these problems is the nonmonotone character of the state equation.
    Źródło:
    Control and Cybernetics; 2011, 40, 2; 457-490
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Superlinear elliptic systems with distributed and boundary controls
    Autorzy:
    Bors, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/970975.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    zagadnienie brzegowe
    stabilność
    metoda wariacyjna
    boundary value problems
    continuous dependence
    stability
    variational methods
    Opis:
    The paper investigates the nonlinear partial differential equations of the superlinear elliptic type with the Dirichlet boundary data. Some sufficient conditions, under which the solutions of considered equations depend continuously on distributed and boundary controls, are proved. The proofs of the main results are based on variational methods.
    Źródło:
    Control and Cybernetics; 2005, 34, 4; 987-1004
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Neumann boundary optimal control problems governed by parabolic variational equalities
    Autorzy:
    Bollo, Carolina M.
    Gariboldi, Claudia M.
    Tarzia, Domingo A.
    Powiązania:
    https://bibliotekanauki.pl/articles/2183458.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    parabolic variational equalities
    optimal control
    mixed boundary conditions
    optimality conditions
    convergence
    Opis:
    We consider a heat conduction problem S with mixed boundary conditions in an n-dimensional domain with regular boundary and a family of problems Sα with also mixed boundary conditions in , where α > 0 is the heat transfer coefficient on the portion of the boundary Г1. In relation to these state systems, we formulate Neumann boundary optimal control problems on the heat flux q which is definite on the complementary portion Г2 of the boundary of Ω. We obtain existence and uniqueness of the optimal controls, the first order optimality conditions in terms of the adjoint state and the convergence of the optimal controls, the system state and the adjoint state when the heat transfer coefficient α goes to infinity. Furthermore, we formulate particular boundary optimal control problems on a real parameter λ, in relation to the parabolic problems S and Sαα
    Źródło:
    Control and Cybernetics; 2021, 50, 2; 227--252
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence, uniqueness and convergence of simultaneous distributed-boundary optimal control problems
    Autorzy:
    Gariboldi, C. M.
    Tarzia, D. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/206574.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    simultaneous optimal control problems
    mixed elliptic problems
    optimality conditions
    elliptic variational equalities
    Opis:
    We consider a steady-state heat conduction problem P for the Poisson equation with Mied Bondary conditions in a bounded multidimensional domain Ω. We also consider a family of problems Pα for the same Poisson equation with mixed boundary conditions, α > 0 being the heat transfer coefficient defined on a portion Γ1 of the boundary. We formulate simultaneous distributed and Neumann boundary optimal control problems on the internal energy g within Ω and the heat flux q, defined on the complementary portion Γ2 of the boundary of Ω for quadratic cost functional. Here, the control variable is the vector (g,q). We prove existence and uniqueness of the optimal control (g,q) for the system state of P, and (gα,qα) for the system state of Pα, for each α > 0, and we give the corresponding optimality conditions. We prove strong convergence, in suitable Sobolev spaces, of the vectorial optimal controls, system and adjoint states governed by the problems Pα to the corresponding vectorial optimal control, system and adjoint states governed by the problem P, when the parameter α goes to infinity. We also obtain estimations between the solutions of these vectorial optimal control problems and the solution of two scalar optimal control problems characterized by fixed g (with boundary optimal control q) and fixed q (with distributed optimal control g), respectively, for cases both of α > 0 and α = ∞.
    Źródło:
    Control and Cybernetics; 2015, 44, 1; 5-17
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Time-domain decomposition for optimal control problems governed by semilinear hyperbolic systems with mixed two-point boundary conditions
    Autorzy:
    Krug, Richard
    Leugering, Günter
    Martin, Alexander
    Schmidt, Martin
    Weninger, Dieter
    Powiązania:
    https://bibliotekanauki.pl/articles/2183473.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    time-domain decomposition
    optimal control
    semilinear hyperbolic systems
    convergence
    Opis:
    In this article, we study the time-domain decomposition of optimal control problems for systems of semilinear hyperbolic equations and provide an in-depth well-posedness analysis. This is a continuation of our work, Krug et al. (2021) in that we now consider mixed two-point boundary value problems. The more general boundary conditions significantly enlarge the scope of applications, e.g., to hyperbolic problems on metric graphs with cycles. We design an iterative method based on the optimality systems that can be interpreted as a decomposition method for the original optimal control problem into virtual control problems on smaller time domains.
    Źródło:
    Control and Cybernetics; 2021, 50, 4; 427--455
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dirichlet control problems in smooth and nonsmooth convex plain domains
    Autorzy:
    Casas, E.
    Mateos, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/206194.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optimal control
    boundary control
    Dirichlet control
    Opis:
    In this paper we collect some results about boundary Dirichlet control problems governed by linear partial differential equations. Some differences are found between problems posed on polygonal domains or smooth domains. In polygonal domains some difficulties arise in the corners, where the optimal control is forced to take a value which is independent of the data of the problem. The use of some Sobolev norm of the control in the cost functional, as suggested in the specialized literature as an alternative to the L2 norm, allows to avoid this strange behavior. Here, we propose a new method to avoid this undesirable behavior of the optimal control, consisting in considering a discrete perturbation of the cost functional by using a finite number of controls concentrated around the corners. In curved domains, the numerical approximation of the problem requires the approximation of the domain Ω typically by a polygonal domain Ωh, this introduces some difficulties in comparing the continuous and the discrete controls because of their definition on different domains Γ and Γh, respectively. We complete the existing recent analysis of these problems by proving the error estimates for a full discretization of the control problem. Finally, some numerical results are provided to compare the different alternatives and to confirm the theoretical predictions.
    Źródło:
    Control and Cybernetics; 2011, 40, 4; 931-955
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the regularization error of state constrained Neumann control problems
    Autorzy:
    Krumbiegel, K.
    Rosch, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/969594.pdf
    Data publikacji:
    2008
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optimal control
    elliptic equation
    state constraints
    boundary control
    regularization
    virtual control
    Opis:
    A linear elliptic optimal control problem with point-wise state constraints in the interior of the domain is considered. Furthermore, the control is given on the boundary with associated constraints. An artificial distributed control is introduced in the cost functional, in the state equation and in the state constraints. Since there are no control constraints for the artificial control, efficient numerical methods can be easily established. Based on a possible violation of the pure pointwise state constraints, an error estimate for the regularization error is derived. The theoretical results are illustrated by numerical tests.
    Źródło:
    Control and Cybernetics; 2008, 37, 2; 369-392
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-11 z 11

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