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    Wyświetlanie 1-6 z 6
    Tytuł:
    Controllability of semilinear wave equations with infinitely iterated logarithms
    Autorzy:
    Cannarsa, P.
    Komornik, V.
    Loreti, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/206588.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    controllability
    semilinear equation
    wave equation
    Opis:
    In a previous work we improved some earlier results of Imanuvilov, Li and Zhang, and of Zuazua, on the boundary exact controllability of semilinear wave equations by weakening the growth assumptions on the nonlinearity. Answering a question of Zuazua we give a still weaker, essentially optimal condition. Furthermore, we establish an approximate internal controllability result under the same growth assumptions.
    Źródło:
    Control and Cybernetics; 1999, 28, 3; 449-461
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Controllability of a model of combined anticancer therapy
    Autorzy:
    Klamka, J.
    Świerniak, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/206596.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    controllability
    semilinear systems
    biomathematical modelling
    cancer therapy
    Opis:
    Controllability of combination of antiangiogenic treatment and chemotherapy is considered. A model used in the paper is a finite-dimensional dynamical control system described by secondo order semilinear time invariant ordinary differential state equations. Using a generalized open mapping theorem, sufficient conditions for constrained local controllability in a given time interval are formulated and proved. These conditions require verification of constrained global controllability of the associated linear second-order dynamical control system.
    Źródło:
    Control and Cybernetics; 2013, 42, 1; 123-138
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Approximate Controllability Properties of the Semilinear Heat Equation With Lumped Controls
    Autorzy:
    Khapalov, A. Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/908269.pdf
    Data publikacji:
    1999
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowność
    sterowanie skupione
    semilinear heat equation
    controllability
    internal lumped control
    Opis:
    In this article, we study the global controllability properties of aone-dimensional semilinear heat equation with sublinear reaction term, governed in a bounded domain by internal lumped controls. We prove thatit is possible to exactly control any finite dimensional portion of its solution (when expanded along the sequence of the eigenfunctions of the associated Laplacian), provided that the truncated linear equationis approximately controllable in L^2 (0,1). We also describe a certain topology (weaker than L^2 (0,1)) in which this system is, in fact, globally approximately controllable at any positive time. Some extensions to the case of several dimensions are also given.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 751-765
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Constrained controllability of second order dynami cal systems with delay
    Autorzy:
    Klamka, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/205540.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    controllability
    second-order dynamical systems
    delayed control systems
    semilinear control systems
    constrained controls
    Opis:
    The paper considers finite-dimensional dynami cal control systems described by second order semilinear stationary ordinary differential state equations with delay in control. Using a generalized open mapping theorem, sufficient conditions for constrained local controllability in a given time interval are formulated and proved. These conditions require verification of constrained global controllability of the associated linear first-order dynamical control system. It is generally assumed that the values of admissible controls are in a convex and closed cone with vertex at zero. Moreover, several remarks and comments on the existing results for controllability of semilinear dynamical control systems are also presented. Finally, a simple numerical example which illustrates theoretical considerations is also given. It should be pointed out that the results given in the paper extend for the case of semilinear second-order dynamical systems constrained controllability conditions, which were previously known only for linear second-order systems.
    Źródło:
    Control and Cybernetics; 2013, 42, 1; 111-121
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces
    Autorzy:
    Abada, Nadjat
    Benchohra, Mouffak
    Hammouche, Hadda
    Ouahab, Abdelghani
    Powiązania:
    https://bibliotekanauki.pl/articles/729413.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    semilinear functional differential inclusions
    impulses
    mild solution
    fixed point
    controllability
    extrapolation space
    nondensely defined operator
    Opis:
    In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 329-347
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence and controllability results for semilinear neutral functional differential inclusions with nonlocal conditions
    Autorzy:
    Ntouyas, S.
    O'Regan, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/729421.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    semilinear differential inclusions
    nonlocal conditions
    analytic semigroups
    cosine functions
    integrated semigroups
    fixed point
    nonlinear alternative
    controllability
    Opis:
    In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 213-264
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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