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    Wyświetlanie 1-8 z 8
    Tytuł:
    On the Constrained Controllability of Dynamical Systems With Multiple Delays in the State
    Autorzy:
    Sikora, B.
    Tematy:
    matematyka
    delay systems
    constrained controllability
    control
    constraints
    asymptotic stability
    Pokaż więcej
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Powiązania:
    https://bibliotekanauki.pl/articles/908099.pdf  Link otwiera się w nowym oknie
    Opis:
    Linear stationary dynamical systems with multiple constant delays in the state are studied. Their relative and approximate controllability properties with constrained controls are discussed. Definitions of various types of controllability with constrained controls for systems with delays in the state are introduced. Some theorems concerning the relative and the approximate relative controllability with constrained controls for dynamical systems with delays in the state are established. Various types of constraints are considered. Numerical examples illustrate the theoretical analysis. An example of a real technical dynamical system is given to indicate one of possible practical applications of the theoretical results.
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Averaged controllability of heat equation in unbounded domains with random geometry and location of controls: The Green’s function approach
    Autorzy:
    Klamka, Jerzy
    Khurshudyan, Asatur Zh.
    Tematy:
    lack of controllability
    constrained controllability
    heuristic method
    averaged dynamics
    uniformly distributed random variable
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    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Powiązania:
    https://bibliotekanauki.pl/articles/230101.pdf  Link otwiera się w nowym oknie
    Opis:
    The constrained averaged controllability of linear one-dimensional heat equation defined on R and R+ is studied. The control is carried out by means of the time-dependent intensity of a heat source located at an uncertain interval of the corresponding domain, the end-points of which are considered as uniformly distributed random variables. Employing the Green’s function approach, it is shown that the heat equation is not constrained averaged controllable neither in R nor in R+. Sufficient conditions on initial and terminal data for the averaged exact and approximate controllabilities are obtained. However, constrained averaged controllability of the heat equation is established in the case of point heat source, the location of which is considered as a uniformly distributed random variable. Moreover, it is obtained that the lack of averaged controllability occurs for random variables with arbitrary symmetric density function.
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On constrained stochastic controllability of dynamical systems with multiple delays in control
    Autorzy:
    Sikora, B.
    Klamka, J.
    Tematy:
    controllability
    multiple delays in control
    constrained stochastic controllability
    supporting function
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    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Powiązania:
    https://bibliotekanauki.pl/articles/201346.pdf  Link otwiera się w nowym oknie
    Opis:
    Linear, continuous stochastic dynamical systems with multiple delays in control are studied in the paper. Their relative stochastic controllability with constrained control is discussed. The definitions of various type of constrained relative and absolute stochastic controllability for linear systems with delays in control are introduced. Criteria of relative and absolute stochastic controllability with constrained control are established. Constraints on control values are considered. Mutual implications between constrained relative stochastic controllability of systems with and without delays are studied as well as implications between constrained relative and absolute stochastic controllability of systems with delay in control.
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Exact and approximate distributed controllability of processes described by KdV and Boussinesq equations: The Green’s function approach
    Autorzy:
    Klamka, Jerzy
    Avetisyan, Ara S.
    Khurshudyan, Asatur Zh.
    Tematy:
    KdV equation
    Boussinesq equation
    Frasca’s method
    short time expansion
    traveling wave
    heuristic method
    distributed control
    constrained controllability
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    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Powiązania:
    https://bibliotekanauki.pl/articles/229650.pdf  Link otwiera się w nowym oknie
    Opis:
    In this paper, we study the constrained exact and approximate controllability of traveling wave solutions of Korteweg-de Vries (third order) and Boussinesq (fourth order) semi-linear equations using the Green’s function approach. Control is carried out by a moving external source. Representing the general solution of those equations in terms of the Frasca’s short time expansion, system of constraints on the distributed control is derived for both types of controllability. Due to the possibility of explicit solution provided by the heuristic method, the controllability analysis becomes straightforward. Numerical analysis confirms theoretical derivations.
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An output controllability problem for semilinear distributed hyperbolic systems
    Autorzy:
    Zerrik, E.
    Larhrissi, R.
    Bourray, H.
    Tematy:
    system o parametrach rozłożonych
    system półliniowy
    system hyperboliczny
    sterowność wymuszona
    punkt stały
    distributed-parameter systems
    semilinear hyperbolic systems
    constrained controllability
    fixed point
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    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Powiązania:
    https://bibliotekanauki.pl/articles/929815.pdf  Link otwiera się w nowym oknie
    Opis:
    The paper aims at extending the notion of regional controllability developed for linear systems to the semilinear hyperbolic case. We begin with an asymptotically linear system and the approach is based on an extension of the Hilbert uniqueness method and Schauder’s fixed point theorem. The analytical case is then tackled using generalized inverse techniques and converted to a fixed point problem leading to an algorithm which is successfully implemented numerically and illustrated with examples.
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Constrained Controllability of Dynamic Systems
    Autorzy:
    Klamka, J.
    Tematy:
    sterowność wymuszona
    system nieskończenie wymiarowy
    system z rozproszonymi parametrami
    system dynamiczny dodatni
    constrained controllability
    infinite-dimensional systems
    distributed-parameter systems
    positive dynamic systems
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    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Powiązania:
    https://bibliotekanauki.pl/articles/908304.pdf  Link otwiera się w nowym oknie
    Opis:
    The present paper is devoted to a study of constrained controllability and controllability for linear dynamic systems if the controls are taken to be non-negative. By analogy to the usual definition of controllability it is possible to introduce the concept of positive controllability. Weshall concentrate on approximate positive controllability for linear infinite-dimensional dynamic systems when the values of controls are taken from a positive closed convex cone and the operator of the system is normal and has pure discrete point spectrum. Special attention is paid to positive infinite-dimensional linear dynamic systems. General approximate constrained controllability results are then applied to distributed-parameter dynamic systems described by linear partial-differential equations of parabolic type with various kinds of boundary conditions. Several remarks and comments on the relationships between different concepts of controllability are given. Finally, a simple illustrative example is also presented.
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Constrained controllability of second order dynami cal systems with delay
    Autorzy:
    Klamka, J.
    Tematy:
    controllability
    second-order dynamical systems
    delayed control systems
    semilinear control systems
    constrained controls
    Pokaż więcej
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Powiązania:
    https://bibliotekanauki.pl/articles/205540.pdf  Link otwiera się w nowym oknie
    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.
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Exact controllability of a string to rest with a moving boundary
    Autorzy:
    Gugat, Martin
    Tematy:
    pde constrained optimization
    optimal control of pdes
    optimal boundary control
    wave equation
    analytic solution
    exact controllability
    moving boundaries
    mining elevator
    Pokaż więcej
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Powiązania:
    https://bibliotekanauki.pl/articles/970107.pdf  Link otwiera się w nowym oknie
    Opis:
    We consider the problem of steering a finite string to the zero state in finite time from a given initial state by controlling the state at one boundary point while the other boundary point moves. As a possible application we have in mind the optimal control of a mining elevator, where the length of the string changes during the transportation process. During the transportation process, oscillations of the elevator-cable can occur that can be damped in this way. We present an exact controllability result for Dirichlet boundary control at the fixed end of the string that states that there exist exact controls for which the oscillations vanish after finite time. For the result we assume that the movements are Lipschitz continuous with a Lipschitz constant, whose absolute value is smaller than the wave speed. In the result, we present the minimal time, for which exact controllability holds, this time depending on the movement of the boundary point. Our results are based upon travelling wave solutions. We present a representation of the set of successful controls that steer the system to rest after finite time as the solution set of two point-wise equalities. This allows for a transformation of the optimal control problem to a form where no partial differential equation appears. This representation enables interesting insights into the structure of the successful controls. For example, exact bang-bang controls can only exist if the initial state is a simple function and the initial velocity is zero.
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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