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    Wyświetlanie 1-13 z 13
    Tytuł:
    The Asymptotical Stability of a Dynamic System With Structural Damping
    Autorzy:
    Hou, X.
    Powiązania:
    https://bibliotekanauki.pl/articles/908219.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    dynamic systems
    evolution equation
    asymptotic stability
    Opis:
    A dynamic system with structural damping described by partial differential equations is investigated. The system is first converted to an abstract evolution equation in an appropriate Hilbert space, and the spectral and semigroup properties of the system operator are discussed. Finally, the well-posedness and the asymptotical stability of the system are obtained by means of a semigroup of linear operators.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 131-138
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A nonlinear model of a turbine blade by asymptotic analysis
    Autorzy:
    Rodriguez, J. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/907896.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    asymptotic analysis
    nonlinear elasticity
    junctions
    shallow shells
    multistructures
    Opis:
    In this paper we obtain a limit model for a turbine blade fixed to a 3D solid. This model is a three-dimensional linear elasticity problem in the 3D part of the piece (the rotor) and a two-dimensional problem (the nonlinear shallow shell equations) in the 2D part (the turbine blade), with junction conditions in the part of the turbine blade fixed to the rotor. To obtain this model, we perform an asymptotic analysis, starting with the nonlinear three-dimensional elasticity equations on all the pieces and taking as a small parameter the thickness of the blade.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 101-113
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Constrained Controllability of Dynamical Systems With Multiple Delays in the State
    Autorzy:
    Sikora, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/908099.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    delay systems
    constrained controllability
    control
    constraints
    asymptotic stability
    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.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 469-479
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The choice of the forms of Lyapunov functions for a positive 2D Roesser model
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/929810.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    funkcja Lapunowa
    model Roessera
    stabilność asymptotyczna
    Lyapunov function
    positive 2D Roesser model
    asymptotic analysis
    Opis:
    The appropriate choice of the forms of Lyapunov functions for a positive 2D Roesser model is addressed. It is shown that for the positive 2D Roesser model: (i) a linear form of the state vector can be chosen as a Lyapunov function, (ii) there exists a strictly positive diagonal matrix P such that the matrix ATPA-P is negative definite. The theoretical deliberations will be illustrated by numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 471-475
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On an Invariant Design of Feedbacks for Bilinear Control Systems of Second Order
    Autorzy:
    Belozyorov, V. Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/908334.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    dwuliniowy układ sterowania
    układ niezmienny
    bilinear control systems
    invariant design
    asymptotic stability
    second-order system
    Opis:
    The problem of linear feedback design for bilinear control systems guaranteeing their conditional closed-loop stability is considered. It is shown that this problem can be reduced to investigating the conditional stability of solutions of quadratic systems of differential equations depending on parameters of the control law. Sufficient conditions for stability in the cone of a homogeneous quadratic system are obtained. For second-order systems, invariant conditions of conditional asymptotic stability are found.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 377-389
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Global Asymptotic Convergence Results for Multitype Models
    Autorzy:
    Rass, L.
    Radcliffe, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/929726.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    konwergencja
    system redukowalny
    global asymptotic convergence
    multitype S → I → S epidemics
    stable population size
    reducible systems
    Opis:
    This paper proves global asymptotic convergence in a multitype epidemic model which encompasses both the S --> I and S --> I --> S epidemics. Systems are considered where the infection matrix may be reducible, and for which the system may be closed or can be open with a stable population size. New global asymptotic convergence results are obtained.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 63-79
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Independence of asymptotic stability of positive 2D linear systems with delays of their delays
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/907661.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system 2D
    stabilność asymptotyczna
    system dodatni
    opóźnienie
    2D systems
    systems with delays
    asymptotic stability
    positive systems
    Opis:
    It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only on the sum of the system matrices, and that the checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to testing that of the corresponding positive 1D systems without delays. The effectiveness of the proposed approaches is demonstrated on numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 255-261
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A robust computational technique for a system of singularly perturbed reaction–diffusion equations
    Autorzy:
    Kumar, V.
    Bawa, R. K.
    Lal, A. K.
    Powiązania:
    https://bibliotekanauki.pl/articles/330202.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    asymptotic expansion approximation
    backward difference operator
    trapezoidal method
    piecewise uniform Shishkin mesh
    rozwinięcie asymptotyczne
    operator różnicowy
    metoda trapezowa
    Opis:
    In this paper, a singularly perturbed system of reaction–diffusion Boundary Value Problems (BVPs) is examined. To solve such a type of problems, a Modified Initial Value Technique (MIVT) is proposed on an appropriate piecewise uniform Shishkin mesh. The MIVT is shown to be of second order convergent (up to a logarithmic factor). Numerical results are presented which are in agreement with the theoretical results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2014, 24, 2; 387-395
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Topological derivatives for semilinear elliptic equations
    Autorzy:
    Iguernane, M.
    Nazarov, S. A.
    Roche, J. R.
    Sokolowski, J.
    Szulc, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/907655.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja kształtu
    pochodna topologiczna
    nierówność wariacyjna
    analiza asymptotyczna
    shape optimization
    topological derivative
    level set method
    variational inequality
    asymptotic analysis
    Opis:
    The form of topological derivatives for an integral shape functional is derived for a class of semilinear elliptic equations. The convergence of finite element approximation for the topological derivatives is shown and the error estimates in the L [...] norm are obtained. The results of numerical experiments which confirm the theoretical convergence rate are presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 191-205
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A level set method in shape and topology optimization for variational inequalities
    Autorzy:
    Fulmański, P.
    Laurain, A.
    Scheid, J. F.
    Sokołowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/929713.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja kształtu
    pochodna topologiczna
    nierówność wariacyjna
    analiza asymptotyczna
    shape optimization
    topological derivative
    level set method
    variational inequality
    asymptotic analysis
    Opis:
    The level set method is used for shape optimization of the energy functional for the Signorini problem. The boundary variations technique is used in order to derive the shape gradients of the energy functional. The conical differentiability of solutions with respect to the boundary variations is exploited. The topology modifications during the optimization process are identified by means of an asymptotic analysis. The topological derivatives of the energy shape functional are employed for the topology variations in the form of small holes. The derivation of topological derivatives is performed within the framework proposed in (Sokołowski and Żochowski, 2003). Numerical results confirm that the method is efficient and gives better results compared with the classical shape optimization techniques.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 3; 413-430
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Asymptotic behaviour of a discrete dynamical system generated by a simple evolutionary process
    Autorzy:
    Karcz-Dulęba, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/907236.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    ewolucja fenotypowa
    dynamika populacji
    populacja mała
    zachowanie asymptotyczne
    phenotypic evolution
    population dynamics
    small populations
    asymptotic behaviour
    space of population states
    Opis:
    A simple model of phenotypic evolution is introduced and analysed in a space of population states. The expected values of the population states generate a discrete dynamical system. The asymptotic behaviour of the system is studied with the use of classical tools of dynamical systems. The number, location and stability of fixed points of the system depend on parameters of a fitness function and the parameters of the evolutionary process itself. The influence of evolutionary process parameters on the stability of the fixed points is discussed. For large values of the standard deviation of mutation, fixed points become unstable and periodical orbits arise. An analysis of the periodical orbits is presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2004, 14, 1; 79-90
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinear stabilizing control of an uncertain bioprocess model
    Autorzy:
    Dimitrova, N.
    Krastanov, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/930090.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    oczyszczanie ścieków
    stabilność asymptotyczna
    sterowanie nieliniowe
    wastewater treatment model
    local bifurcations of steady states
    asymptotic stabilization
    extremum seeking
    uncertain data
    Opis:
    In this paper we consider a nonlinear model of a biological wastewater treatment process, based on two microbial populations and two substrates. The model, described by a four-dimensional dynamic system, is known to be practically verified and reliable. First we study the equilibrium points of the open-loop system, their stability and local bifurcations with respect to the control variable. Further we propose a feedback control law for asymptotic stabilization of the closed-loop system towards a previously chosen operating point. A numerical extremum seeking algorithm is designed to stabilize the dynamics towards the maximum methane output flow rate in the presence of coefficient uncertainties. Computer simulations in Maple are reported to illustrate the theoretical results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 3; 441-454
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The island model as a Markov dynamic system
    Autorzy:
    Schaefer, R.
    Byrski, A.
    Smołka, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/331253.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    algorytm genetyczny
    analiza asymptotyczna
    optymalizacja globalna
    algorytm ewolucyjny równoległy
    łańcuch Markova
    genetic algorithms
    asymptotic analysis
    global optimization
    parallel evolutionary algorithms
    Markov chain modeling
    Opis:
    Parallel multi-deme genetic algorithms are especially advantageous because they allow reducing the time of computations and can perform a much broader search than single-population ones. However, their formal analysis does not seem to have been studied exhaustively enough. In this paper we propose a mathematical framework describing a wide class of island-like strategies as a stationary Markov chain. Our approach uses extensively the modeling principles introduced by Vose, Rudolph and their collaborators. An original and crucial feature of the framework we propose is the mechanism of inter-deme agent operation synchronization. It is important from both a practical and a theoretical point of view. We show that under a mild assumption the resulting Markov chain is ergodic and the sequence of the related sampling measures converges to some invariant measure. The asymptotic guarantee of success is also obtained as a simple issue of ergodicity. Moreover, if the cardinality of each island population grows to infinity, then the sequence of the limit invariant measures contains a weakly convergent subsequence. The formal description of the island model obtained for the case of solving a single-objective problem can also be extended to the multi-objective case.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 4; 971-984
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-13 z 13

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