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    Wyświetlanie 1-8 z 8
    Tytuł:
    An interval estimator for chlorine monitoring in drinking water distribution systems under uncertain system dynamics, inputs and chlorine concentration measurement errors
    Autorzy:
    Łangowski, R.
    Brdys, M. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/330246.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    observer
    bounding method
    modelling dynamics
    water quality
    obserwator
    dynamika modelowania
    jakość wody
    Opis:
    The design of an interval observer for estimation of unmeasured state variables with application to drinking water distribution systems is described. In particular, the design process of such an observer is considered for estimation of the water quality described by the concentration of free chlorine. The interval observer is derived to produce the robust interval bounds on the estimated water quality state variables. The stability and robustness of the interval observer are investigated under uncertainty in system dynamics, inputs, initial conditions and measurement errors. The bounds on the estimated variables are generated by solving two systems of first-order ordinary differential equations. For that reason, despite a large scale of the systems, the numerical efficiency is sufficient for the on-line monitoring of the water quality. Finally, in order to validate the performance of the observer, it is applied to the model of a real water distribution network.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2017, 27, 2; 309-322
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Procedural generation of aesthetic patterns from dynamics and iteration processes
    Autorzy:
    Gdawiec, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/329905.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    dynamical system
    dynamics process
    iteration process
    aesthetic pattern
    układ dynamiczny
    proces dynamiczny
    proces iteracji
    wzorzec estetyczny
    Opis:
    Aesthetic patterns are widely used nowadays, e.g., in jewellery design, carpet design, as textures and patterns on wallpapers, etc. Most of the work during the design stage is carried out by a designer manually. Therefore, it is highly useful to develop methods for aesthetic pattern generation. In this paper, we present methods for generating aesthetic patterns using the dynamics of a discrete dynamical system. The presented methods are based on the use of various iteration processes from fixed point theory (Mann, S, Noor, etc.) and the application of an affine combination of these iterations. Moreover, we propose new convergence tests that enrich the obtained patterns. The proposed methods generate patterns in a procedural way and can be easily implemented on the GPU. The presented examples show that using the proposed methods we are able to obtain a variety of interesting patterns. Moreover, the numerical examples show that the use of the GPU implementation with shaders allows the generation of patterns in real time and the speed-up (compared with a CPU implementation) ranges from about 1000 to 2500 times.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2017, 27, 4; 827-837
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust stabilization of discrete linear repetitive processes with switched dynamics
    Autorzy:
    Bochniak, J.
    Gałkowski, K.
    Rogers, E.
    Kummert, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/908381.pdf
    Data publikacji:
    2006
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    proces powtarzalny
    system 2D
    stabilizacja
    niepewność
    repetitive processes
    2D systems
    switched dynamics
    stabilization
    uncertainty
    Opis:
    Repetitive processes constitute a distinct class of 2D systems, i.e., systems characterized by information propagation in two independent directions, which are interesting in both theory and applications. They cannot be controlled by a direct extension of the existing techniques from either standard (termed 1D here) or 2D systems theories. Here we give new results on the design of physically based control laws. These results are for a sub-class of discrete linear repetitive processes with switched dynamics in both independent directions of information propagation.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2006, 16, 4; 441-462
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of Immunotherapy Models in the Context of Cancer Dynamics
    Autorzy:
    Szymańska, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/908152.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    medycyna
    matematyka
    dynamic systems
    immune system
    cancer
    vaccination
    Opis:
    A basic mathematical model of the immune response when cancer cells are recognized is proposed. The model consists of six ordinary differential equations. It is extended by taking into account two types of immunotherapy: active immunotherapy and adoptive immunotherapy. An analysis of the corresponding models is made to answer the question which of the presented methods of immunotherapy is better. The analysis is completed by numerical simulations which show that the method of adoptive immunotherapy seems better for the patient at least in some cases.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 407-418
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A general on-the-fly algorithm for modifying the kinematic tree hierarchy
    Autorzy:
    Stępień, J.
    Polański, A.
    Wojciechowski, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/331314.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    dynamika
    animacja
    bryła sztywna
    dynamics
    articulated system
    rigid bodies
    system hierarchy
    contact
    animation
    Opis:
    When conducting a dynamic simulation of a multibody mechanical system, the model definition may need to be altered during the simulation course due to, e.g., changes in the way the system interacts with external objects. In this paper, we propose a general procedure for modifying simulation models of articulated figures, particularly useful when dealing with systems in time-varying contact with the environment. The proposed algorithm adjusts model connectivity, geometry and current state, producing its equivalent ready to be used by the simulation procedure. Furthermore, we also provide a simple usage scenario-a passive planar biped walker.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 423-435
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dynamics of the Tumor---Immune System Competition---the Effect of Time Delay
    Autorzy:
    Gałach, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/908151.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    medycyna
    matematyka
    mathematical model
    tumor growth
    differential equation
    time delay
    Opis:
    The model analyzed in this paper is based on the model set forth by V.A. Kuznetsov and M.A. Taylor, which describes a competition between the tumor and immune cells. Kuznetsov and Taylor assumed that tumor-immune interactions can be described by a Michaelis-Menten function. In the present paper a simplified version of the Kuznetsov-Taylor model (where immune reactions are described by a bilinear term) is studied. On the other hand, the effect of time delay is taken into account in order to achieve a better compatibility with reality.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 395-406
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Linear Repetitive Process Control Theory Applied to a Physical Example
    Autorzy:
    Gałkowski, K.
    Rogers, E.
    Paszke, W.
    Owens, D. H.
    Powiązania:
    https://bibliotekanauki.pl/articles/908259.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    automatyka
    robotyka
    repetitive dynamics
    metal rolling
    LMIs
    delay differential system
    stability
    Opis:
    In the case of linear dynamics, repetitive processes are a distinct class of 2D linear systems with uses in areas ranging from long-wall coal cutting and metal rolling operations to iterative learning control schemes. The main feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two independent directions only occurs over a finite duration. This, in turn, means that a distinct systems theory must be developed for them for onward translation into efficient routinely applicable controller design algorithms for applications domains. In this paper, we introduce the dynamics of these processes by outlining the development of models for various metal rolling operations. These models are then used to illustrate some recent results on the development of a comprehensive control theory for these processes.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 1; 87-99
    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
      Wyświetlanie 1-8 z 8

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