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    Wyświetlanie 1-7 z 7
    Tytuł:
    Pontryagin Maximum Principle for coupled slow and fast systems
    Autorzy:
    Artstein, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/970920.pdf
    Data publikacji:
    2009
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optimal control
    singular perturbations
    maximum principle
    Opis:
    When slow and fast controlled dynamics are coupled, the variational limit, as the ratio of time scales grows, is best depicted as a trajectory in a probability measures space. The effective control is then an invariant measure on the fast state-control space. The paper presents the form of the Pontryagin Maximum Principle for this variational limit and examines its relation to the Maximum Principle of the perturbed system.
    Źródło:
    Control and Cybernetics; 2009, 38, 4A; 1003-1019
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robustness of solutions of an infinite-dimensional algebraic Sylvester equation under bounded perturbations
    Autorzy:
    Emirsajłow, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/205989.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    distributed parameter systems
    algebraic Sylvester equation
    bounded perturbations
    implemented semigroup
    Opis:
    The output regulation problem for distributed parameter systems, see e.g. Byrnes, Lauko, Gillian and Shubov (2000) and Paunonen (2011), and the observer design problem for such systems, see e.g. Emirsajłow (2012), are examples of import ant control problems, where analysis of infinite-dimensional algebraic Sylvester equations plays a crucial role. This paper studies bounded perturbations of the unbounded operators of the algebraic infinitedimensional Sylvester equation. We derive some estimate on the perturbation operator under which the algebraic Sylvester equation preserves a unique solution or, in the control systems terminology, a solution is robust under small bounded perturbations. In our approach we employ the concept of an implemented semigroup, see e.g. Alber (2001) and Emirsajłow (2012), which is a special case of the so-called bi-continuous semigroup, e.g. Farkas (2004).
    Źródło:
    Control and Cybernetics; 2013, 42, 1; 27-45
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Bang-bang controls in the singular perturbations limit
    Autorzy:
    Artstein, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/970546.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    zaburzenia osobliwe
    miara Younga
    bang-bang
    singular perturbations
    Young measures
    Opis:
    A general form of the dynamics obtained as a limit of trajectories of singularly perturbed linear control systems is presented. The limit trajectories are described in terms of probability measure-valued maps. This allows to determine the extent to which the bang-bang principle for linear control systems is carried over to the singular limit.
    Źródło:
    Control and Cybernetics; 2005, 34, 3; 645-663
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Anoccupational measure solution to a singularly perturbed optimal control problem
    Autorzy:
    Artstein, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/206805.pdf
    Data publikacji:
    2002
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    horyzont nieskończony
    perturbacja singularna
    sterowanie optymalne
    infinite horizon
    limit occupational measures
    optimal control
    singular perturbations
    Opis:
    Employing limit occupational measures, we provide an explicit solution to a singularly perturbed optimal control problem for which the order reduction method does not apply.
    Źródło:
    Control and Cybernetics; 2002, 31, 3; 623-642
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    High-gain feedback and sliding modes in infinite dimensional systems
    Autorzy:
    Levaggi, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/970418.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    system nieskończenie wymiarowy
    zaburzenia osobliwe
    infinite dimensional systems
    high-gain feedback
    singular perturbations
    sliding modes
    Opis:
    This paper focuses on the connection between sliding motions and low frequency modes of high-gain feedback systems in an infinite dimensional framework. We study a particular class of abstract control systems in a Hilbert space setting and analyse their high-gain behaviour through singular perturbations. We show that the "slow" motion derived from the reduced model approximates the evolution of the closed loop after a fast transient. Moreover we prove a relation between this slow component of the high-gain feedback system and sliding motions, in the spirit, of the analogous result in the finite dimensional setting by Young, Kokotovic and Utkin (Young et al., 1977).
    Źródło:
    Control and Cybernetics; 2004, 33, 1; 33-50
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability kernel in finite games with perturbed payoffs
    Autorzy:
    Emelichev, Vladimir
    Nikulin, Yury
    Powiązania:
    https://bibliotekanauki.pl/articles/2183484.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    post-optimal analysis
    multiple criteria
    kernel stability radius
    independent perturbations
    finite games
    Pareto optimality
    Nash equilibrium
    Opis:
    The parametric concept of equilibrium in a finite cooperative game of several players in a normal form is introduced. This concept is defined by the partitioning of a set of players into coalitions. Two extreme cases of such partitioning correspond to Pareto optimal and Nash equilibrium outcomes, respectively. The game is characterized by its matrix, in which each element is a subject for independent perturbations., i.e. a set of perturbing matrices is formed by a set of additive matrices, with two arbitrary Hölder norms specified independently in the outcome and criterion spaces. We undertake post-optimal analysis for the so-called stability kernel. The analytical expression for supreme levels of such perturbations is found. Numerical examples illustrate some of the pertinent cases.
    Źródło:
    Control and Cybernetics; 2022, 51, 1; 6--20
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Topological sensitivity analysis for a coupled nonlinear problem with an obstacle
    Autorzy:
    Abdelbari, M.
    Nachi, K.
    Sokolowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/205653.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    topological derivative
    shape optimization
    SteklovPoincaroperator
    Signorini problem
    variational inequality
    Helmholtz equation
    coupled partial differential equations
    conical differential
    asymptotic expansions
    singular perturbations of geometrical Romains
    truncated domain
    Opis:
    The Topological Derivative has been recognized as a powerful tool in obtaining the optimal topology for several kinds of engineering problems. This derivative provides the sensitivity of the cost functional for a boundary value problem for nucleation of a small hole or a small inclusion at a given point of the domain of integration. In this paper, we present a topological asymptotic analysis with respect to the size of singular domain perturbation for a coupled nonlinear PDEs system with an obstacle on the boundary. The domain decomposition method, referring to the SteklovPoincar´epseudo-differential operator, is employed for the asymptotic study of boundary value problem with respect to the size of singular domain perturbation. The method is based on the observation that the known expansion of the energy functional in the ring coincides with the expansion of the Steklov-Poincar´e operator on the boundary of the truncated domain with respekt to the small parameter, which measures the size of perturbation. In this way, the singular perturbation of the domain is reduced to the regular perturbation of the Steklov-Poincar´e map ping for the ring. The topological derivative for a tracking type shape functional is evaluated so as to obtain the useful formula for application in the numerical methods of shape and topology optimization.
    Źródło:
    Control and Cybernetics; 2017, 46, 1; 5-25
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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