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    Wyświetlanie 1-7 z 7
    Tytuł:
    Thin inclusion in elastic body: identification of damage parameter
    Autorzy:
    Khludnev, Alexander
    Powiązania:
    https://bibliotekanauki.pl/articles/970124.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    thin inclusion
    defect
    damage parameter
    non-penetration boundary conditions
    optimal control
    Opis:
    In the paper, we consider an equilibrium problem for a 2D elastic body with a thin elastic inclusion crossing an external boundary. The elastic body has a defect which is characterized by a positive damage parameter. The presence of a defect means that the problem is formulated in a non-smooth domain. Non-linear boundary conditions at the defect faces are imposed to prevent the mutual penetration between the faces. Both variational and differential problem formulations are proposed, and existence of solutions is established. We study an asymptotics of solutions with respect to the damage parameter as well as with respect to a rigidity parameter of the inclusion. Identification problems for finding the damage parameter are investigated. To this end, existence of solutions of optimal control problems is proven.
    Źródło:
    Control and Cybernetics; 2019, 48, 1; 13-29
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Viability and generalized differential quotients
    Autorzy:
    Girejko, E.
    Bartosiewicz, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/970016.pdf
    Data publikacji:
    2006
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    viability
    differential inclusion
    generalized differential quotient (GDQ)
    contingent derivative
    Cellina continuous approximability (CCA)
    Opis:
    Necessary and sufficient conditions for a set-valued map K : R → Rn to be GDQ-differentiable are given. It is shown that K is GDQ differentiate at to if and only if it has a local multiselection that is Cellina continuously approximable and Lipschitz at to. It is also shown that any minimal GDQ of K at (to,yo) is a subset of the contingent derivative of K at (to,yo), evaluated at 1. Then this fact is used to prove a viability theorem that asserts existence of a solution to the initial value problem y(t) ∈ F(t, y(t)), with y(to) =yo, where F : Gr(K) → Rn is an orientor field (i.e. multivalued vector field) defined only on the graph of K and K : T → Rn is a time-varying constraint multifunction. One of the assumptions is GDQ differentiability of K.
    Źródło:
    Control and Cybernetics; 2006, 35, 4; 815-829
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On necessary conditions in variable end-time optimal control problems
    Autorzy:
    Ioffe, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/970555.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sterowanie optymalne
    warunek konieczny optymalności
    optimal control
    necessary optimality condition
    differential inclusion
    variable end-time
    Opis:
    The paper contains a new necessary optimality condition for optimal control problems with free terminal time and discontinuous time dependence, which, actually is a family of conditions, each corresponding to a continuation of optimal trajectory beyond the optimal time for an arbitrary small interval.
    Źródło:
    Control and Cybernetics; 2005, 34, 3; 805-817
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Control and optimization of abstract continuous time evolution inclusions
    Autorzy:
    Mokhtar-Kharroubi, Hocine
    Powiązania:
    https://bibliotekanauki.pl/articles/31342761.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    evolution inclusion
    well-posedness
    optimal control
    strong duality
    system of optimality
    Fenchel duality
    convex process of evolution
    integrodifferential inclusions
    Opis:
    Abstract controlled evolution inclusions are revisited in the Banach spaces setting. The existence of solution is established for each selected control. Then, the input–output (or, control-states) multimap is examined and the Lipschitz continuous well posedness is derived. The optimal control of such inclusions handled in terms of a Bolza problem is investigated by means of the so-called PF format of optimization. A strong duality is provided, the existence of an optimal pair is given and the system of optimalty is derived. A Fenchel duality is built and applied to optimal control of convex process of evolution. Finally, it will be shown how the general theory we provided can be applied to a wide class of controled integrodifferental inclusions.
    Źródło:
    Control and Cybernetics; 2023, 52, 1; 5-34
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Inversion of multifunctions and differential inclusions
    Autorzy:
    Nachi, K.
    Penot, J.-P.
    Powiązania:
    https://bibliotekanauki.pl/articles/970557.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    pochodna
    różniczkowalność
    inkluzja różniczkowa
    odwzorowanie odwrotne
    funkcja uwikłana
    klasa multifunkcji
    derivative
    differentiability
    differential inclusion
    multimapping
    inverse mapping
    implicit function
    set-valued mapping
    Opis:
    We present a new inverse mapping theorem for correspondences. It uses a notion of differentiability for multifunctions which seems to be new. We compare it with previous versions. We provide an application to differential inclusions.
    Źródło:
    Control and Cybernetics; 2005, 34, 3; 871-901
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Weak sharp minima revisited Part I : basic theory
    Autorzy:
    Burke, J.
    Deng, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/206183.pdf
    Data publikacji:
    2002
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    dwoistość
    funkcja recesji
    ograniczenie błędu
    stożek recesji
    boundedly weak sharp minima
    duality
    error bounds
    normal cone inclusion
    recession cone
    recession function
    weak sharp minima
    Opis:
    The notion of sharp minima, or strongly unique local minima, emerged in the late 1970's as an important tool in the analysis of the perturbation behavior of certain classes of optimization problems as well as in the convergence analysis of algorithms designed to solve these problems. The work of Cromme and Polyak is of particular importance in this development. In the late 1980's Ferris coined the term weak sharp minima to describe the extension of the notion of sharp minima to include the possibility of a non-unique solution set. This notion was later extensively studied by many authors. Of particular note in this regard is the paper by Burke and Ferrris which gives an extensive exposition of the notion and its impact on convex programming and convergence analysis in finite dimensions. In this paper we build on the work of Burke and Ferris. Specifically, we generalize their work to the normed linear space setting, further dissect the normal cone inclusion characterization for weak sharp minima, study the asymptotic properties of weak sharp minima in terms of associated recession functions, and give new characterizations for local weak sharp minima and boundely weak sharp minima. This paper is the first of a two part work on this subject. In Part II, we study the links between the notions of weak sharp minima, bounded linear regularity, linear regularity, metric regularity, and error bounds in convex programming. Along the way, we obtain both new results and reproduce many existing results from a fresh perspective.
    Źródło:
    Control and Cybernetics; 2002, 31, 3; 439-469
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal synthesis via superdifferentials of value function
    Autorzy:
    Frankowska, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/970554.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    problem Mayera
    synteza optymalna
    równanie Hamiltona-Jacobiego
    funkcja półwklęsła
    rozwiązania lepkościowe
    Mayer problem
    optimal synthesis
    differential inclusion
    Hamilton-Jacobi equation
    semiconcave function
    viability theory
    viscosity solution
    Opis:
    We derive a differential inclusion governing the evolution of optimal trajectories to the Mayor problem. The value function is allowed to be discontinuous. This inclusion has convex compact right-hand sides.
    Źródło:
    Control and Cybernetics; 2005, 34, 3; 787-803
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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