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    Wyświetlanie 1-9 z 9
    Tytuł:
    A neural-network controlled dynamic evolutionary scheme for global molecular geometry optimization
    Autorzy:
    Styrcz, A.
    Mrozek, J.
    Mazur, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/907520.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja globalna
    algorytm memetyczny
    geometria cząsteczki
    global optimization
    memetic algorithm
    molecular geometry
    Opis:
    A novel, neural network controlled, dynamic evolutionary algorithm is proposed for the purposes of molecular geometry optimization. The approach is tested for selected model molecules and some molecular systems of importance in biochemistry. The new algorithm is shown to compare favorably with the standard, statically parametrized memetic algorithm.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 3; 559-566
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Phenotypic evolution with a mutation based on symmetric alpha-stable distributions
    Autorzy:
    Obuchowicz, A.
    Prętki, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/907644.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    algorytm ewolucyjny
    dystrybucja stabilna
    optymalizacja globalna
    evolutionary algorithms
    Levy-stable distributions
    global optimization
    surrounding effect
    Opis:
    Multidimensional Symmetric alpha-Stable (S alpha S) mutations are applied to phenotypic evolutionary algorithms. Such mutations are characterized by non-spherical symmetry for alpha<2 and the fact that the most probable distance of mutated points is not in a close neighborhood of the origin, but at a certain distance from it. It is the so-called surrounding effect (Obuchowicz, 2001b; 2003b). For alpha=2, the S alpha S mutation reduces to the Gaussian one, and in the case of alpha=1, the Cauchy mutation is obtained. The exploration and exploitation abilities of evolutionary algorithms, using S alpha S mutations for different alpha, are analyzed by a set of simulation experiments. The obtained results prove the important influence of the surrounding effect of symmetric alpha-stable mutations on both the abilities considered.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2004, 14, 3; 289-316
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Global Stability of Linearizing Control With a New Robust Nonlinear Observer of The Induction Motor
    Autorzy:
    Chenafa, M.
    Mansouri, A.
    Bouhenna, A.
    Etien, E.
    Belaidi, A.
    Denai, M. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/911129.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    obserwatory nieliniowe
    sterowanie liniowe
    silnik indukcyjny
    stabilność globalna
    nonlinear observer
    linearizing control
    induction motor
    global stability
    Opis:
    This paper mainly deals with the design of an advanced control law with an observer for a special class of nonlinear systems. We design an observer with a gain as a function of speed. We study the solution to the output feedback torque and rotor flux-tracking problem for an induction motor model given in the natural frame. We propose a new robust nonlinear observer and prove the global stability of the interlaced controller-observer system. The control algorithm is studied through simulations and applied in many configurations (various set points, flux and speed profiles and torque disturbances), and is shown to be very efficient.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 2; 235-243
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Random perturbation of the projected variable metric method for nonsmooth nonconvex optimization problems with linear constraints
    Autorzy:
    El Mouatasim, A.
    Ellaia, R.
    Souza de Cursi, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/907785.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja globalna
    ograniczenie liniowe
    zaburzenie stochastyczne
    global optimization
    linear constraints
    variable metric method
    stochastic perturbation
    nonsmooth optimization
    Opis:
    We present a random perturbation of the projected variable metric method for solving linearly constrained nonsmooth (i.e., nondifferentiable) nonconvex optimization problems, and we establish the convergence to a global minimum for a locally Lipschitz continuous objective function which may be nondifferentiable on a countable set of points. Numerical results show the effectiveness of the proposed approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 2; 317-329
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Global stability of nonlinear feedback systems with fractional positive linear parts
    Autorzy:
    Kaczorek, Tadeusz
    Powiązania:
    https://bibliotekanauki.pl/articles/330048.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    global stability
    fractional positive system
    nonlinear system
    feedback system
    stateczność globalna
    układ ułamkowy
    układ dodatni
    układ nieliniowy
    Opis:
    The global (absolute) stability of nonlinear systems with fractional positive and not necessarily asymptotically stable linear parts and feedbacks is addressed. The characteristics u = f(e) of the nonlinear parts satisfy the condition k1e ≤ f(e) ≤ k2e for some positive k1 and k2. It is shown that the fractional nonlinear systems are globally asymptotically stable if the Nyquist plots of the fractional positive linear parts are located on the right-hand side of the circles (−1/k1,−1/k2).
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 493-499
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Global behavior of a multi-group SEIR epidemic model with spatial diffusion in a heterogeneous environment
    Autorzy:
    Liu, Pengyan
    Li, Hong-Xu
    Powiązania:
    https://bibliotekanauki.pl/articles/2134056.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    global stability
    multigroup epidemic model
    spatial heterogeneity
    spatial diffusion
    globalna stabilność
    wielogrupowy model epidemii
    różnorodność przestrzenna
    dyfuzja przestrzenna
    Opis:
    In this paper, we propose a multi-group SEIR epidemic model with spatial diffusion, where the model parameters are spatially heterogeneous. The positivity and ultimate boundedness of the solution, as well as the existence of a global attractor of the associated solution semiflow, are established. The definition of the basic reproduction number is given by utilizing the next generation operator approach, whereby threshold-type results on the global dynamics in terms of this number are established. That is, when the basic reproduction number is less than one, the disease-free steady state is globally asymptotically stable, while if it is greater than one, uniform persistence of this model is proved. Finally, the feasibility of the main theoretical results is shown with the aid of numerical examples for a model with two groups.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2022, 32, 2; 271--283
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Global stability of discrete-time feedback nonlinear systems with descriptor positive linear parts and interval state matrices
    Autorzy:
    Kaczorek, Tadeusz
    Ruszewski, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/2055149.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    global stability
    positive system
    nonlinear system
    discrete-time system
    stabilność globalna
    układ dodatni
    układ nieliniowy
    układ czasu dyskretnego
    Opis:
    The global stability of discrete-time nonlinear systems with descriptor positive linear parts, positive scalar feedbacks and interval state matrices is addressed. Sufficient conditions for the global stability of this class of nonlinear systems are established. The effectiveness of these conditions is illustrated using numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2022, 32, 1; 5--10
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stochastic multivariable self-tuning tracker for non-Gaussian systems
    Autorzy:
    Filipovic, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/908532.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    model ARMAX
    statystyka odpornościowa
    stabilność globalna
    ARMAX model
    self-tuning tracker
    non-Gaussian noise
    robust statistics
    global stability
    optimality
    Opis:
    This paper considers the properties of a minimum variance self-tuning tracker for MIMO systems described by ARMAX models. It is assumed that the stochastic noise has a non-Gaussian distribution. Such an assumption introduces into a recursive algorithm a nonlinear transformation of the prediction error. The system under consideration is minimum phase with different dimensions for input and output vectors. In the paper the concept of Kronecker’s product is used, which allows us to represent unknown parameters in the form of vectors. For parameter estimation a stochastic approximation algorithm is employed. Using the concept of the stochastic Lyapunov function, global stability and optimality of the feedback system are established.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 3; 351-357
    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 1-9 z 9

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