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Wyszukujesz frazę "Linear equations" wg kryterium: Temat

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    Wyświetlanie 1-9 z 9
    Tytuł:
    An Elastic Membrane With an Attached Non-Linear Thermoelastic Rod
    Autorzy:
    Horn, W.
    Sokołowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/908512.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    materiałoznawstwo
    thermoelastic materials
    non-linear partial differential equations
    Opis:
    We study a thermo-mechanical system consisting of an elastic membrane to which a shape-memory rod is glued. The slow movements of the membrane are controlled by the motions of the attached rods. A quasi-static model is used. We include the elastic feedback of the membrane on the rods. This results in investigating an elliptic boundary value problem in a domain W is subset R2 with a cut, coupled with non-linear equations for the vertical motions of the rod and the temperature on the rod. We prove the existence of a unique global weak solution to this problem using a fixed point argument.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 479-486
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Sensor location for travel time estimation based on the user equilibrium principle: Application of linear equations
    Autorzy:
    Cao, Shuhan
    Shao, Hu
    Shao, Feng
    Powiązania:
    https://bibliotekanauki.pl/articles/2055143.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    travel time estimation
    sensor location
    user equilibrium principle
    linear equations
    szacowanie czasu podrózy
    lokalizacja czujnika
    równanie liniowe
    Opis:
    Travel time is a fundamental measure in any transportation system. With the development of technology, travel time can be automatically collected by a variety of advanced sensors. However, limited by objective conditions, it is difficult for any sensor system to cover the whole transportation network in real time. In order to estimate the travel time of the whole transportation network, this paper gives a system of linear equations which is constructed by the user equilibrium (UE) principle and observed data. The travel time of a link which is not covered by a sensor can be calculated by using the observed data collected by sensors. In a typical transportation network, the minimum number and location of sensors to estimate the travel time of the whole network are given based on the properties of the solution of a systems of linear equations. The results show that, in a typical network, the number and location of sensors follow a certain law. The results of this study can provide reference for the development of transportation and provide a scientific basis for transportation planning.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2022, 32, 1; 23--33
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Influence of preconditioning and blocking on accuracy in solving Markovian models
    Autorzy:
    Bylina, B.
    Bylina, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/907654.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    kondycjonowanie
    równanie liniowe
    metoda blokowania
    łańcuch Markowa
    rozkład WZ
    preconditioning
    linear equations
    blocking methods
    Markov chains
    WZ factorization
    Opis:
    The article considers the effectiveness of various methods used to solve systems of linear equations (which emerge while modeling computer networks and systems with Markov chains) and the practical influence of the methods applied on accuracy. The paper considers some hybrids of both direct and iterative methods. Two varieties of the Gauss elimination will be considered as an example of direct methods: the LU factorization method and the WZ factorization method. The Gauss-Seidel iterative method will be discussed. The paper also shows preconditioning (with the use of incomplete Gauss elimination) and dividing the matrix into blocks where blocks are solved applying direct methods. The motivation for such hybrids is a very high condition number (which is bad) for coefficient matrices occuring in Markov chains and, thus, slow convergence of traditional iterative methods. Also, the blocking, preconditioning and merging of both are analysed. The paper presents the impact of linked methods on both the time and accuracy of finding vector probability. The results of an experiment are given for two groups of matrices: those derived from some very abstract Markovian models, and those from a general 2D Markov chain.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 207-217
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the computation of the minimal polynomial of a polynomial matrix
    Autorzy:
    Karampetakis, P.
    Tzekis, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/908531.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    wielomian minimalny
    dyskretna transformacja Fouriera
    macierz wielomianowa
    macierzowe równanie liniowe
    minimal polynomial
    discrete Fourier transform
    polynomial matrix
    linear matrix equations
    Opis:
    The main contribution of this work is to provide two algorithms for the computation of the minimal polynomial of univariate polynomial matrices. The first algorithm is based on the solution of linear matrix equations while the second one employs DFT techniques. The whole theory is illustrated with examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 3; 339-349
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A Boundary-Value Problem for Linear Pdaes
    Autorzy:
    Marszałek, W.
    Trzaska, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/908511.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    differential algebraic equations
    boundary value problems
    linear multivariable systems
    Opis:
    We analyze a boundary-value problem for linear partial differential algebraic equations, or PDAEs, by using the method of the separation of variables. The analysis is based on the Kronecker-Weierstrass form of the matrix pencil [A,-ln B]. A new theorem is proved and two illustrative examples are given.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 487-491
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the discrete time-varying JLQG problem
    Autorzy:
    Czornik, A.
    Świerniak, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/907993.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    automatyka
    robotyka
    jump linear systems
    optimal control
    time-varying systems
    coupled Riccati equations
    Opis:
    In the present paper optimal time-invariant state feedback controllers are designed for a class of discrete time-varying control systems with Markov jumping parameter and quadratic performance index. We assume that the coefficients have limits as time tends to infinity and the boundary system is absolutely observable and stabilizable. Moreover, following the same line of reasoning, an adaptive controller is proposed in the case when system parameters are unknown but their strongly consistent estimators are available.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 203-207
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Well-Posed Linear Systems - a Survey With Emphasis on Conservative Systems
    Autorzy:
    Weiss, G.
    Staffans, O. J.
    Tucsnak, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/908320.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system liniowy
    układ zachowawczy
    równanie różniczkowe
    well-posed linear systems
    regular linear system
    operator semigroup
    consevative system
    scattering theory
    time-flow-inversion
    differential equations in Hilbert space
    beam equation
    Opis:
    We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 7-33
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Design of linear feedback for bilinear control systems
    Autorzy:
    Belozyorov, V. Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/908500.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    system of ordinary quadratic differential equations
    bilinear control system
    linear control law
    cone of stability
    feedback
    closed-loop system
    Opis:
    Sufficient conditions for the conditional stability of trivial solutions for quadratic systems of ordinary differential equations are obtained. These conditions are then used to design linear control laws on the output for a bilinear system of any order. In the case of a homogeneous system, a domain of the conditional stability is also indicated (it is a cone). Some examples are given.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 493-511
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    J-energy preserving well-posed linear systems
    Autorzy:
    Staffans, O. J.
    Powiązania:
    https://bibliotekanauki.pl/articles/908123.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ zachowawczy
    system liniowy
    równanie Lyapunova
    równanie różniczkowe Riccatiego
    well-posed linear systems
    system node
    transfer function
    Lax-Phillips semigroup
    dissipative systems
    conservative system
    model theory
    conservative realization
    J-energy-preserving system
    Lyapunov equations
    Riccati equation
    Opis:
    The following is a short survey of the notion of a well-posed linear system. We start by describing the most basic concepts, proceed to discuss dissipative and conservative systems, and finally introduce J-energy-preserving systems, i.e., systems that preserve energy with respect to some generalized inner products (possibly semi-definite or indefinite) in the input, state and output spaces. The class of well-posed linear systems contains most linear time-independent distributed parameter systems: internal or boundary control of PDE's, integral equations, delay equations, etc. These systems have existed in an implicit form in the mathematics literature for a long time, and they are closely connected to the scattering theory by Lax and Phillips and to the model theory by Sz.-Nagy and Foias. The theory has been developed independently by many different schools, and it is only recently that these different approaches have begun to converge. One of the most interesting objects of the present study is the Riccati equation theory for this class of infinite-dimensional systems (H2- and Hinfty-theories).
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1361-1378
    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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