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Wyszukujesz frazę "Khurshudyan, A. Zh." wg kryterium: Autor

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    Tytuł:
    Exact and approximate controllability conditions for the micro-swimmers deflection governed by electric field on a plane: The Green’s function approach
    Autorzy:
    Khurshudyan, A. Zh.
    Powiązania:
    https://bibliotekanauki.pl/articles/229564.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    run
    tumble
    micro-swimmers
    Green’s function of nonlinear equation
    discontinuous
    Opis:
    We study the exact and approximate controllabilities of the Langevin equation describing the Brownian motion of particles with a white noise. The Langevin equation is shown to describe also the bacterial run-and-tumble motion. Applying the Green’s function approach to the Green’s function representation of the Langevin equation, we obtain necessary and sufficient conditions for exact controllability in the form of a finite-dimensional problem of moments. For the approximate controllability, we obtain only sufficient conditions. The sets of resolving controls are characterized in both cases. The theoretical derivations are supported by a numerical analysis.
    Źródło:
    Archives of Control Sciences; 2018, 28, 3; 335-347
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Generalized control with compact support for systems with distributed parameters
    Autorzy:
    Khurshudyan, A. Zh.
    Powiązania:
    https://bibliotekanauki.pl/articles/229167.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    distributed system
    controls with compact support
    problem of moments
    L1
    L2 and L∞-optimal controls
    Opis:
    We propose a generalization of the Butkovskiy’s method of control with compact support [1] allowing to derive exact controllability conditions and construct explicit solutions in control problems for systems with distributed parameters. The idea is the introduction of a new state function which is supported in considered bounded time interval and coincides with the original one therein. By means of techniques of the distributions theory the problem is reduced to an interpolation problem for Fourier image of unknown function or to corresponding system of integral equalities. Treating it as infinite dimensional problem of moments, its L1, L2 and L∞-optimal solutions are constructed explicitly. The technique is explained for semilinear wave equation with distributed and boundary controls. Particular cases are discussed.
    Źródło:
    Archives of Control Sciences; 2015, 25, 1; 5-20
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On adhesive binding optimization of elastic homogeneous rod to a fixed rigid base as a control problem by coefficient
    Autorzy:
    Jilavyan, S. H.
    Khurshudyan, A. Zh.
    Sarkisyan, A. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/229296.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    topology optimization
    optimal design
    control by coefficient
    nonlinear moments problem
    adhesive binding
    Opis:
    The problem of finite, partially glued to a fixed rigid base rod longitudinal vibrations damping by optimizing adhesive structural topology is investigated. Vibrations of the rod are caused by external load, concentrated on free end of the rod, the other end of which is elastically clamped. The problem is mathematically formulated as a boundary-value problem for onedimensional wave equation with attenuation and variable controlled coefficient. The intensity of adhesion distribution function is taken as optimality criterion to be minimized. Structure of adhesion layer, optimal in that sense, is obtained as a piecewise-constant function. Using Fourier real generalized integral transform, the problem of unknown function determination is reduced to determination of certain switching points from a system of nonlinear, in general, complex equations. Some particular cases are considered.
    Źródło:
    Archives of Control Sciences; 2013, 23, 4; 413-425
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On optimal boundary and distributed control of partial integro-differential equations
    Autorzy:
    Khurshudyan, A. Zh.
    Powiązania:
    https://bibliotekanauki.pl/articles/229762.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    optimal control
    integro-differential equation
    equation of convolution type
    Fourier generalized transform
    impulsive control
    Opis:
    A method of optimal control problems investigation for linear partial integro-differential equations of convolution type is proposed, when control process is carried out by boundary functions and right hand side of equation. Using Fourier real generalized integral transform control problem solution is reduced to minimization procedure of chosen optimality criterion under constraints of equality type on desired control function. Optimality of control impacts is obtained for two criteria, evaluating their linear momentum and total energy. Necessary and sufficient conditions of control problem solvability are obtained for both criteria. Numerical calculations are done and control functions are plotted for both cases of control process realization.
    Źródło:
    Archives of Control Sciences; 2014, 24, 1; 5-25
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Topology optimization for elastic base under rectangular plate subjected to moving load
    Autorzy:
    Jilavyan, S. H.
    Khurshudyan, A. Zh.
    Powiązania:
    https://bibliotekanauki.pl/articles/230086.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    distributed system
    moving load
    Kirchhoff plate
    Winkler base
    topology optimization
    problem of moments
    L∞-optimal control
    distributions
    Bubnov–Galerkin procedure
    Opis:
    Distribution optimization of elastic material under elastic isotropic rectangular thin plate subjected to concentrated moving load is investigated in the present paper. The aim of optimization is to damp its vibrations in finite (fixed) time. Accepting Kirchhoff hypothesis with respect to the plate and Winkler hypothesis with respect to the base, the mathematical model of the problem is constructed as two–dimensional bilinear equation, i.e. linear in state and control function. The maximal quantity of the base material is taken as optimality criterion to be minimized. The Fourier distributional transform and the Bubnov–Galerkin procedures are used to reduce the problem to integral equality type constraints. The explicit solution in terms of two–dimensional Heaviside‘s function is obtained, describing piecewise–continuous distribution of the material. The determination of the switching points is reduced to a problem of nonlinear programming. Data from numerical analysis are presented.
    Źródło:
    Archives of Control Sciences; 2015, 25, 3; 289-305
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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