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    Wyświetlanie 1-14 z 14
    Tytuł:
    An observability problem for a class of uncertain-parameter linear dynamic systems
    Autorzy:
    Oprzędkiewicz, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/908528.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ dynamiczny liniowy
    układ o niepewnych parametrach
    obserwowalność
    linear uncertain-parameter dynamic systems
    observability
    Opis:
    An observability problem for a class of linear, uncertain-parameter, time-invariant dynamic SISO systems is discussed. The class of systems under consideration is described by a finite dimensional state-space equation with an interval diagonal state matrix, known control and output matrices and a two-dimensional uncertain parameter space. For the system considered a simple geometric interpretation of the system spectrum can be given. The geometric interpretation of the system spectrum is the base for defining observability and non-observability areas for the discussed system. The duality principle allows us to test observablity using controllability criteria. For the uncertain-parameter system considered, some controllability criteria presented in the author’s previous papers are used. The results are illustrated with numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 3; 331-338
    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:
    Range Identification for a Perspective Dynamic System with a Single Homogeneous Observation
    Autorzy:
    Ma, L.
    Chen, Y.
    Moore, K. L.
    Powiązania:
    https://bibliotekanauki.pl/articles/908492.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system identyfikacji
    układ dynamiczny
    obserwator nieliniowy
    range identification
    perspective dynamic systems
    nonlinear observer
    Opis:
    Perspective problems arise in machine vision when using a camera to observe the scene. Essential problems include the identification of unknown states and/or unknown parameters from perspective observations. Range identification is used to estimate the states/positions of a moving object with known motion parameters. Range estimation has been discussed in the literature using nonlinear observers with full homogeneous observations derived from the image plane. In this paper, the same range identification problem is discussed with a single homogeneous observation using nonlinear observers. Our simulation results verify the convergence of the observers when their observability conditions are satisfied.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 1; 63-72
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Model based analysis of signaling pathways
    Autorzy:
    Śmieja, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/907948.pdf
    Data publikacji:
    2008
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    ścieżka sygnalizacyjna
    układ dynamiczny
    biologia systemów
    interferon-beta
    signaling pathways
    dynamical system
    systems biology
    Opis:
    The paper is concerned with application of mathematical modeling to the analysis of signaling pathways. Two issues, deterministic modeling of gene transcription and model-driven discovery of regulatory elements, are dealt with. First, the biological background is given and the importance of the stochastic nature of biological processes is addressed. The assumptions underlying deterministic modeling are presented. Special emphasis is put on describing gene transcription. A framework for including unknown processes activating gene transcription by means of first-order lag elements is introduced and discussed. Then, a particular interferon-ß induced pathway is introduced, limited to early events that precede activation of gene transcription. It is shown how to simplify the system description based on the goals of modeling. Further, a computational analysis is presented, facilitating better understanding of the mechanisms underlying regulation of key components in the pathway. The analysis is illustrated by a comparison of simulation and experimental data.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2008, 18, 2; 139-145
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Time to the convergence of evolution in the space of population states
    Autorzy:
    Karcz-Dulęba, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/907643.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    ewolucja fenotypowa
    układ dynamiczny
    punkt stały
    phenotypic evolution
    dynamical system
    time to convergence
    fixed points
    Opis:
    Phenotypic evolution of two-element populations with proportional selection and normally distributed mutation is considered. Trajectories of the expected location of the population in the space of population states are investigated. The expected location of the population generates a discrete dynamical system. The study of its fixed points, their stability and time to convergence is presented. Fixed points are located in the vicinity of optima and saddles. For large values of the standard deviation of mutation, fixed points become unstable and periodical orbits arise. In this case, fixed points are also moved away from optima. The time to convergence to fixed points depends not only on the mutation rate, but also on the distance of the points from unstability. Results show that a population spends most time wandering slowly towards the optimum with mutation as the main evolution factor.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2004, 14, 3; 279-287
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fault detection in nonlinear systems via linear methods
    Autorzy:
    Zhirabok, A.
    Shumsky, A.
    Solyanik, S.
    Suvorov, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/330933.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    nonlinear dynamic system
    diagnostic observer
    robustness
    nondifferentiable nonlinearity
    logic dynamic approach
    układ dynamiczny
    układ nieliniowy
    obserwator diagnostyczny
    odporność na uszkodzenia
    Opis:
    The problem of robust linear and nonlinear diagnostic observer design is considered. A method is suggested to construct the observers that are disturbance decoupled or have minimal sensitivity to the disturbances. The method is based on a logic-dynamic approach which allows us to consider systems with non-differentiable nonlinearities in the state equations by methods of linear algebra.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2017, 27, 2; 261-272
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection
    Autorzy:
    Obaid, H. A.
    Ouifki, R.
    Patidar, K. C.
    Powiązania:
    https://bibliotekanauki.pl/articles/331053.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    HIV infection
    dynamical system
    nonstandard finite difference methods
    equilibria
    stability
    zakażenie HIV
    układ dynamiczny
    metoda różnic skończonych
    równowaga
    Opis:
    We formulate and analyze an unconditionally stable nonstandard finite difference method for a mathematical model of HIV transmission dynamics. The dynamics of this model are studied using the qualitative theory of dynamical systems. These qualitative features of the continuous model are preserved by the numerical method that we propose in this paper. This method also preserves the positivity of the solution, which is one of the essential requirements when modeling epidemic diseases. Robust numerical results confirming theoretical investigations are provided. Comparisons are also made with the other conventional approaches that are routinely used for such problems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 357-372
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Generalized practical stability analysis of discontinuous dynamical systems
    Autorzy:
    Zhai, G.
    Michel, A. N.
    Powiązania:
    https://bibliotekanauki.pl/articles/907305.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ dynamiczny nieciągły
    analiza ilościowa
    funkcja Lyapunova
    discontinuous dynamical system
    quantitative analysis
    generalized practical stability
    Lyapunov-like function
    Opis:
    In practice, one is not only interested in the qualitative characterizations provided by the Lyapunov stability, but also in quantitative information concerning the system behavior, including estimates of trajectory bounds, possibly over finite time intervals. This type of information has been ascertained in the past in a systematic manner using the concept of practical stability. In the present paper, we give a new definition of generalized practical stability (abbreviated as GP-stability) and establish some sufficient conditions concerning GP-stability for a wide class of discontinuous dynamical systems. As in the classical Lyapunov theory, our results constitute a Direct Method, making use of auxiliary scalar-valued Lyapunov-like functions. These functions, however, have properties that differ significantly from the usual Lyapunov functions. We demonstrate the applicability of our results by means of several specific examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2004, 14, 1; 5-12
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new approach to nonlinear modelling of dynamic systems based on fuzzy rules
    Autorzy:
    Bartczuk, Ł.
    Przybył, A.
    Cpałka, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/330372.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    nonlinear modelling
    dynamic system
    fuzzy system
    interpretability of fuzzy system
    evolutionary algorithm
    modelowanie nieliniowe
    układ dynamiczny
    system rozmyty
    algorytm ewolucyjny
    Opis:
    For many practical weakly nonlinear systems we have their approximated linear model. Its parameters are known or can be determined by one of typical identification procedures. The model obtained using these methods well describes the main features of the system’s dynamics. However, usually it has a low accuracy, which can be a result of the omission of many secondary phenomena in its description. In this paper we propose a new approach to the modelling of weakly nonlinear dynamic systems. In this approach we assume that the model of the weakly nonlinear system is composed of two parts: a linear term and a separate nonlinear correction term. The elements of the correction term are described by fuzzy rules which are designed in such a way as to minimize the inaccuracy resulting from the use of an approximate linear model. This gives us very rich possibilities for exploring and interpreting the operation of the modelled system. An important advantage of the proposed approach is a set of new interpretability criteria of the knowledge represented by fuzzy rules. Taking them into account in the process of automatic model selection allows us to reach a compromise between the accuracy of modelling and the readability of fuzzy rules.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 603-621
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability and stabilizability of a class of uncertain dynamical systems with delays
    Autorzy:
    Saadni, M. S.
    Chaabane, M.
    Mehdi, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/908527.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ dynamiczny
    opóźnienie czasowe
    sterowanie odporne
    dynamical systems
    time-varying delays
    time-varying uncertainty
    norm-bounded robust stability
    robust stabilizability
    Opis:
    This paper deals with a class of uncertain systems with time-varying delays and norm-bounded uncertainty. The stability and stabilizability of this class of systems are considered. LinearMatrix Inequalities (LMI) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 3; 321-329
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Controllability criteria for time-delay fractional systems with a retarded state
    Autorzy:
    Sikora, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/330421.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fractional dynamical systems
    controllability criteria
    delays in the state
    constraints
    pseudotransition matrix
    Caputo derivative
    układ dynamiczny ułamkowy
    sterowalność
    pochodna ułamkowego rzędu Caputo
    Opis:
    The paper is concerned with time-delay linear fractional systems with multiple delays in the state. A formula for the solution of the discussed systems is presented and derived using the Laplace transform. Definitions of relative controllability with and without constraints for linear fractional systems with delays in the state are formulated. Relative controllability, both with and without constraints imposed on control values, is discussed. Various types of necessary and sufficient conditions for relative controllability and relative U-controllability are established and proved. Numerical examples illustrate the obtained theoretical results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 521-531
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A dynamic model as a tool for design and optimization of propulsion systems of transport means
    Autorzy:
    Peruń, Grzegorz
    Powiązania:
    https://bibliotekanauki.pl/articles/11542694.pdf
    Data publikacji:
    2023
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    dynamic model
    gear design
    power transmission system
    model dynamiczny
    konstukcja przekładni
    układ napędowy
    Opis:
    Designing power transmission systems is a complex and often time-consuming problem. In this task, various computational tools make it possible to speed up the process and verify a great many different solutions before the final one is developed. It is widely possible today to conduct computer simulations of the operation of various devices before the first physical prototype is built. The article presents an example of a dynamic model of power transmission systems, which has been developed to support work aimed at designing new and optimizing existing systems of that type, as well as to help diagnose them by designing diagnostic algorithms sensitive to early stages of damage development. The paper also presents sample results of tests conducted with the model, used at the gear design stage. In the presented model, the main goal is to reproduce the phenomena occurring in gears as well as possible, using numerous experiments in this direction featured in the literature. Many already historical models present different ways of modeling, but they often made significant simplifications, required by the limitations of the nature of computational capabilities. Differences also result from the purpose of the models being developed, and the analysis of these different ways of doing things makes it possible to choose the most appropriate approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2023, 33, 2; 183--195
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of some dual properties in discrete dynamic systems
    Autorzy:
    Zhirabok, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/908397.pdf
    Data publikacji:
    2006
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ liniowy
    układ nieliniowy
    system dynamiczny
    system dyskretny
    dwoistość
    nonlinear system
    linear system
    algebraic approach
    error correction
    reachability
    duality
    Opis:
    The problem of duality in nonlinear and linear systems is considered. In addition to the known duality between controllability and observability, new dual notions and their properties are investigated. A way to refine these properties through an isomorphic transformation of the original systems is suggested.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2006, 16, 3; 297-308
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Two-stage instrumental variables identification of polynomial Wiener systems with invertible nonlinearities
    Autorzy:
    Janczak, Andrzej
    Korbicz, Józef
    Powiązania:
    https://bibliotekanauki.pl/articles/330751.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    nonlinear system
    parameter estimation
    dynamic model
    polynomial model
    układ nieliniowy
    estymacja parametru
    model dynamiczny
    model wielomianowy
    Opis:
    A new two-stage approach to the identification of polynomial Wiener systems is proposed. It is assumed that the linear dynamic system is described by a transfer function model, the memoryless nonlinear element is invertible and the inverse nonlinear function is a polynomial. Based on these assumptions and by introducing a new extended parametrization, the Wiener model is transformed into a linear-in-parameters form. In Stage I, parameters of the transformed Wiener model are estimated using the least squares (LS) and instrumental variables (IV) methods. Although the obtained parameter estimates are consistent, the number of parameters of the transformed Wiener model is much greater than that of the original one. Moreover, there is no unique relationship between parameters of the inverse nonlinear function and those of the transformed Wiener model. In Stage II, based on the assumption that the linear dynamic model is already known, parameters of the inverse nonlinear function are estimated uniquely using the IV method. In this way, not only is the parameter redundancy removed but also the parameter estimation accuracy is increased. A numerical example is included to demonstrate the practical effectiveness of the proposed approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2019, 29, 3; 571-580
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-14 z 14

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