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Wyszukujesz frazę "uniform stability" wg kryterium: Temat

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    Wyświetlanie 1-7 z 7
    Tytuł:
    Stabilization of solutions to a differential-delay equation in a Banach space
    Autorzy:
    Koliha, J.
    Straškraba, Ivan
    Powiązania:
    https://bibliotekanauki.pl/articles/1310725.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    abstract differential-delay equation
    dependence on parameter
    uniform stability
    Opis:
    A parameter dependent nonlinear differential-delay equation in a Banach space is investigated. It is shown that if at the critical value of the parameter the problem satisfies a condition of linearized stability then the problem exhibits a stability which is uniform with respect to the whole range of the parameter values. The general theorem is applied to a diffusion system with applications in biology.
    Źródło:
    Annales Polonici Mathematici; 1996-1997, 65, 3; 271-281
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stabilization of a fluid structure interaction with nonlinear damping
    Autorzy:
    Lasiecka, I.
    Lu, Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/206598.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    fluid structure interaction
    interface
    Navier-Stokes equation
    system of elasticity
    feedback boundary control
    strong stability
    uniform stability
    optimal control
    passive damping
    active damping
    dynamic and static damping
    Opis:
    Asymptotic stability of finite energy solutions to a fluid-structure interaction with a static interface in a bounded domain Ω ∈ Rn, n = 2 is considered. It is shown that the undamped model subject to ”partial flatness” geometric condition on the in- terface produces solutions whose energy converges strongly to zero; while with a stress type feedback control applied on the interface of the structure, the model produces solutions whose energy is exponentially stable. An addition of a static damping on the interface produces solutions whose full norm in the phase space is exponentially stable. Without a static damping an interesting phenomenon occurs that steady state solutions (equilibria) might generate genuinely growing in time solutions. This is purely nonlinear phenomenon captured by newly developed techniques amenable to handle instability of steady state solutions arising from nonlinearity.
    Źródło:
    Control and Cybernetics; 2013, 42, 1; 155-181
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stabilization of a certain class of fuzzy control systems with uncertainties
    Autorzy:
    Taieb, N. H.
    Hammami, M. A.
    Delmotte, F.
    Powiązania:
    https://bibliotekanauki.pl/articles/229196.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    Takagi-Sugeno fuzzy systems
    PDC controller
    global uniform practical exponential stability
    Lyapunov stability
    parametric uncertainty
    Opis:
    In this paper, we investigate the global uniform practical exponential stability for a class of uncertain Takagi-Sugeno fuzzy systems. The uncertainties are supposed uniformly to be bounded by some known integrable functions to obtain an exponential convergence toward a neighborhood of the origin. Therefore, we use common quadratic Lyapunov function (CQLF) and parallel distributed compensation (PDC) controller techniques to show the global uniform practical exponential stability of the closed-loop system. Numeric simulations are given to validate the proposed approach.
    Źródło:
    Archives of Control Sciences; 2017, 27, 3; 453-481
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Dynamics of a Chemostat Model With Delayed Nutrient Recycling
    Autorzy:
    Fergola, P.
    Jiang, L.
    Ma, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/929727.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    stabilność
    sterowanie populacją
    chemostat model
    delayed nutrient recycling
    stability
    uniform persistence
    population control
    Opis:
    This paper studies the dynamics of a chemostat model with n populations competing for one nutrient which can be recycled due to decomposition of dead biomass. Several kinds of results about local and global stability of non-negative equilibria, uniform persistence and control of populations are obtained.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 81-96
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability of higher-level energy norms of strong solutions to a wave equation with localized nonlinear damping and a nonlinear source term
    Autorzy:
    Lasiecka, I.
    Toundykov, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/970252.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    wave equation
    localized nonlinear damping
    nonlinear source
    stability
    uniform boundedness
    higher energy
    strong solutions
    Opis:
    We derive global in time a priori bounds on higher-level energy norms of strong solutions to a semilinear wave equation: in particular, we prove that despite the influence of a nonlinear source, the evolution of a smooth initial state is globally bounded in the strong topology ∼ H2 x H1. And the bound is uniform with respect to the corresponding norm of the initial data. It is known that an m-accretive semigroup generator moriotoni-cally propagates smoothness of the initial condition; however, this result does not hold in general for Lipschitz perturbations of monotone systems where higher order Sobolev norms of the solution may blowup asymptotically as t → ∞. Due to nonlinearity of the system, the only a priori global-in-time bound that follows from classical methods is that on finite energy: ∼ H1 x L2. We show that under some correlation between growth rates of the damping and the source, the norms of topological order above the finite energy level remain globally bounded. Moreover, we also establish this result when damping exhibits sublinear or superlinear growth at the origin, or at infinity, which has immediate applications to asymptotic estimates on the decay rates of the finite energy. The approach presented in the paper is not specific to the wave equation, and can be extended to other hyperbolic systems: e.g. plate, Maxwell, and Schrodinger equations.
    Źródło:
    Control and Cybernetics; 2007, 36, 3; 681-710
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Infinite-horizon Markov control processes with undiscounted cost criteria: from average to overtaking optimality
    Autorzy:
    Hernández-Lerma, Onésimo
    Vega-Amaya, Oscar
    Powiązania:
    https://bibliotekanauki.pl/articles/1339029.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    uniform ergodicity
    Lyapunov stability conditions
    (discrete-time) Markov control processes
    Poisson's equation
    undiscounted cost criteria
    Opis:
    We consider discrete-time Markov control processes on Borel spaces and infinite-horizon undiscounted cost criteria which are sensitive to the growth rate of finite-horizon costs. These criteria include, at one extreme, the grossly underselective average cost
    Źródło:
    Applicationes Mathematicae; 1998-1999, 25, 2; 153-178
    1233-7234
    Pojawia się w:
    Applicationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A high-accuracy method of computation of X-ray waves propagation through an optical system consisting many lenses
    Autorzy:
    Kshevetskii, S.
    Wojda, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1938594.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Gdańska
    Tematy:
    X-ray wave
    X-ray optic
    lens
    non-uniform medium
    focusing
    numerical method
    simulation
    finite differences
    stability
    numerical error
    wave phase
    electromagnetic wave
    fast oscillating function
    Opis:
    The propagation of X-ray waves through an optical system consisting of many X-ray refractive lenses is considered. Two differential equations are contemplated for solving the problem for electromagnetic wave propagation: first – an equation for the electric field, second – an equation derived for a complex phase of an electric field. Both equations are solved by the use of a finite-difference method. The simulation error is estimated mathematically and investigated. The presented results for equations show that in order to establish a high accuracy computation a much smaller number of points is needed to solve the problem of X-ray waves propagation through a multi-lens system when the method for the second equation is used. The reason for such a result is that the electric field of a wave after passing through many lenses is a quickly oscillating function of coordinates, while the electric field phase is a quickly increasing, but not oscillating function. Therefore, a very detailed difference grid, which is necessary to approximate the considered electric field can be replaced by not such a detailed grid, when computations are made for the complex wave of the electric field. The simulation error of both suggested methods is estimated. It is shown that the derived equation for a phase function allows efficient simulation of propagation of X-rays for the multi-lens optical system.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 2; 171-186
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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