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    Wyświetlanie 1-6 z 6
    Tytuł:
    Robust stability of positive continuous-time linear systems with delays
    Autorzy:
    Busłowicz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/908143.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    czas ciągły
    system liniowy
    opóźnienie
    stabilność odporna
    niepewność liniowa
    positive continuous-time linear system
    delay
    robust stability
    linear uncertainty
    interval system
    Opis:
    The paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices. Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure and (ii) nonnegative perturbation matrices are established. The problems are illustrated with numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 4; 665-670
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability of interval positive fractional discrete-time linear systems
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/331118.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    interval system
    positive system
    fractional system
    linear discrete-time system
    stability
    system przedziałowy
    układ dodatni
    układ ułamkowy
    układ liniowy
    układ dyskretno-czasowy
    Opis:
    The aim of this work is to show that interval positive fractional discrete-time linear systems are asymptotically stable if and only if the respective lower and upper bound systems are asymptotically stable. The classical Kharitonov theorem is extended to interval positive fractional linear systems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 451-456
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Enclosures for the solution set of parametric interval linear systems
    Autorzy:
    Hladík, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/330122.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system liniowy
    system przedziałowy
    rozwiązywanie zbioru
    macierz przedziałowa
    linear interval systems
    solution set
    interval matrix
    Opis:
    We investigate parametric interval linear systems of equations. The main result is a generalization of the Bauer-Skeel and the Hansen-Bliek-Rohn bounds for this case, comparing and refinement of both. We show that the latter bounds are not provable better, and that they are also sometimes too pessimistic. The presented form of both methods is suitable for combining them into one to get a more efficient algorithm. Some numerical experiments are carried out to illustrate performances of the methods.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 561-574
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A verified method for solving piecewise smooth initial value problems
    Autorzy:
    Auer, E.
    Kiel, S.
    Rauh, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/331354.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    interval method
    non smooth system
    initial value problem
    metoda przedziałowa
    metoda nie gładka
    zagadnienie początkowe
    Opis:
    In many applications, there is a need to choose mathematical models that depend on non-smooth functions. The task of simulation becomes especially difficult if such functions appear on the right-hand side of an initial value problem. Moreover, solution processes from usual numerics are sensitive to roundoff errors so that verified analysis might be more useful if a guarantee of correctness is required or if the system model is influenced by uncertainty. In this paper, we provide a short overview of possibilities to formulate non-smooth problems and point out connections between the traditional non-smooth theory and interval analysis. Moreover, we summarize already existing verified methods for solving initial value problems with non-smooth (in fact, even not absolutely continuous) right-hand sides and propose a way of handling a certain practically relevant subclass of such systems. We implement the approach for the solver VALENCIA-IVP by introducing into it a specialized template for enclosing the first-order derivatives of non-smooth functions. We demonstrate the applicability of our technique using a mechanical system model with friction and hysteresis. We conclude the paper by giving a perspective on future research directions in this area.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 4; 731-747
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The interval Shapley value of an M/M/1 service system
    Autorzy:
    E, C. G.
    Li, Q. L.
    Li, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/330815.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    M/M/1 service system
    cooperative interval game
    cost allocation
    Shapley value
    gra przedziałowa kooperatywna
    alokacja kosztów
    wartość Shapley'a
    Opis:
    Service systems and their cooperation are one of the most important and hot topics in management and information sciences. To design a reasonable allocation mechanism of service systems is the key issue in the cooperation of service systems. In this paper, we systematically introduce the interval Shapley value as cost allocation of cooperative interval games ,[...] arising from cooperation in a multi-server service system, and provide an explicit expression for the interval Shapley value of cooperative interval games [...]. We construct an interval game [...] of a service system which shares the same value for the grand coalition with the original interval game, by using the characteristic function which is dominated by the function of the original interval game. Finally, we prove that the interval game [...] is concave, which means that the interval Shapley value of the interval game [...] is in the interval core of this interval game, and illustrate this conclusion by using numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2017, 27, 3; 549-562
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A computationally inexpensive algorithm for determining outer and inner enclosures of nonlinear mappings of ellipsoidal domains
    Autorzy:
    Rauh, Andreas
    Jaulin, Luc
    Powiązania:
    https://bibliotekanauki.pl/articles/2055165.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    bounded uncertainty
    guaranteed enclosures
    ellipsoidal enclosures
    inner approximations
    outer approximations
    nonlinear system
    confidence interval
    niepewność ograniczona
    układ nieliniowy
    przedział ufności
    Opis:
    A wide variety of approaches for set-valued simulation, parameter identification, state estimation as well as reachability, observability and stability analysis for nonlinear discrete-time systems involve the propagation of ellipsoids via nonlinear functions. It is well known that the corresponding image sets usually possess a complex shape and may even be nonconvex despite the convexity of the input data. For that reason, domain splitting procedures are often employed which help to reduce the phenomenon of overestimation that can be traced back to the well-known dependency and wrapping effects of interval analysis. In this paper, we propose a simple, yet efficient scheme for simultaneously determining outer and inner ellipsoidal range enclosures of the solution for the evaluation of multi-dimensional functions if the input domains are themselves described by ellipsoids. The Hausdorff distance between the computed enclosure and the exact solution set reduces at least linearly when decreasing the size of the input domains. In addition to algebraic function evaluations, the proposed technique is-for the first time, to our knowledge-employed for quantifying worst-case errors when extended Kalman filter-like, linearization-based techniques are used for forecasting confidence ellipsoids in a stochastic setting.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 3; 399--415
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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