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    Wyświetlanie 1-10 z 10
    Tytuł:
    Generalized solutions to boundary value problems for quasilinear hyperbolic systems of partial differential-functional equations
    Autorzy:
    Człapiński, Tomasz
    Powiązania:
    https://bibliotekanauki.pl/articles/1312033.pdf
    Data publikacji:
    1992
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    differential-functional system
    second canonical form
    generalized solutions
    Opis:
    Generalized solutions to quasilinear hyperbolic systems in the second canonical form are investigated. A theorem on existence, uniqueness and continuous dependence upon the boundary data is given. The proof is based on the methods due to L. Cesari and P. Bassanini for systems which are not functional.
    Źródło:
    Annales Polonici Mathematici; 1992, 57, 2; 177-191
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Triviality of scalar linear type isotropy subgroup by passing to an alternative canonical form of a hypersurface
    Autorzy:
    Ežov, Vladimir
    Powiązania:
    https://bibliotekanauki.pl/articles/1294194.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    CR automorphisms
    canonical form
    scalar linear type isotropy
    Opis:
    The Chern-Moser (CM) normal form of a real hypersurface in $ℂ^N$ can be obtained by considering automorphisms whose derivative acts as the identity on the complex tangent space. However, the CM normal form is also invariant under a larger group (pseudo-unitary linear transformations) and it is this property that makes the CM normal form special. Without this additional restriction, various types of normal forms occur. One of them helps to give a simple proof of a (previously complicated) theorem about triviality of the scalar linear type isotropy subgroup of a nonquadratic hypersurface. An example of an analogous nontrivial subgroup for a 2-codimensional CR surface in $ℂ^4$ is constructed. We also consider the question whether the group structure that is induced on the family of normalisations to the CM normal form via the parametrisation of the isotropy automorphism group of the underlining hyperquadric coincides with the natural composition operation on the biholomorphisms.
    Źródło:
    Annales Polonici Mathematici; 1998, 70, 1; 85-97
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Observer design using a partial nonlinear observer canonical form
    Autorzy:
    Röbenack, K.
    Lynch, A. F.
    Powiązania:
    https://bibliotekanauki.pl/articles/908388.pdf
    Data publikacji:
    2006
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    wzorzec projektowy
    postać kanoniczna
    wykrywalność
    observer design
    canonical form
    detectability
    Opis:
    This paper proposes two methods for nonlinear observer design which are based on a partial nonlinear observer canonical form (POCF). Observability and integrability existence conditions for the new POCF are weaker than the well-established nonlinear observer canonical form (OCF), which achieves exact error linearization. The proposed observers provide the global asymptotic stability of error dynamics assuming that a global Lipschitz and detectability-like condition holds. Examples illustrate the advantages of the approach relative to the existing nonlinear observer design methods. The advantages of the proposed method include a relatively simple design procedure which can be broadly applied.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2006, 16, 3; 333-343
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Gain design of quasi-continuous exponential stabilizing controller for a nonholonomic mobile robot
    Autorzy:
    Nonaka, S.
    Tsujimura, T.
    Izumiya, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/91862.pdf
    Data publikacji:
    2016
    Wydawca:
    Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
    Tematy:
    gain design
    nonholonomic canonical form
    exponential stabilized control
    mobile robot
    Opis:
    The control of nonholonomic canonical form using an invariant manifold is investigated to apply to a mobile robot steered by two independent driving wheels. A quasi-continuous exponential stabilizing controller is designed by using another input pattern. Additionally, the control gain designing method is proposed for this controller. Modified error system of nonholonomic double integrator model is used as nonholonomic canonical form. Generally, the gain cannot be calculated due to the non-linear transform of system. Owing to complicated relation of several parameters, the controller behavior is inconstant by gain pattern. We propose a method of designing gain which uses desired settling time. An approximate equation to obtain designed gains is derived based on the evaluation function. The design method to determine gains of the assumed actual system is simulated. The effectiveness of the proposed method is confirmed by these simulations.
    Źródło:
    Journal of Artificial Intelligence and Soft Computing Research; 2016, 6, 3; 189-200
    2083-2567
    2449-6499
    Pojawia się w:
    Journal of Artificial Intelligence and Soft Computing Research
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Canonical Forms of Singular 1D and 2D Linear Systems
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/908257.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    automatyka
    robotyka
    canonical form
    2D Roesser model
    singular
    1D system
    Opis:
    The paper consists of two parts. In the first part, new canonical forms are defined for singular 1D linear systems and a procedure to determine nonsingular matrices transforming matrices of singular systems to their canonical forms is derived. In the second part new canonical forms of matrices of the singular 2D Roesser model are defined and a procedure for determining realisations in canonical forms for a given 2D transfer function is presented. Necessary and sufficient conditions for the existence of a pair of nonsingular block diagonal matrices transforming the matrices of the singular 2D Roesser model to their canonical forms are established. A procedure for computing the pair of nonsingular matrices is presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 1; 61-72
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Celebration of Marriage Coram Assistente Laico (C. 1112)
    Autorzy:
    Gosiewski, Radosław
    Powiązania:
    https://bibliotekanauki.pl/articles/1804774.pdf
    Data publikacji:
    2019-11-16
    Wydawca:
    Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
    Tematy:
    lay faithful
    canonical form of marriage
    lay qualified witness
    the sanctifying function
    Opis:
    Introduced after the Second Vatican Council, the norm permitting the lay person to be a qualified witness of marriage entered in the canonical form has not been yet further elaborated in Polish canonist literature. This study seeks to fill this gap in the Polish canonist literature. The first part of the presentation is devoted to the development of the norm in post-conciliar legislation before the promulgation of the 1983 Code of Canon Law. The next part presents the conditions for the delegation of a lay person to assist at marriage in accordance with canon 1112: a lack of priests and deacons, consent of the diocesan bishop with the favourable vote of the conference of bishops and the permission of the Holy See. The last addressed issue is the duties of delegated lay persons in connection with their task to prepare the intending parties for marriage, to verify their ability to conclude it, to preside over the ritual, and to record this fact in church documentation.
    Źródło:
    Roczniki Nauk Prawnych; 2017, 27, 3; 105-120
    1507-7896
    2544-5227
    Pojawia się w:
    Roczniki Nauk Prawnych
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some analysis problems of the linear systems
    Wybrane zagadnienia analizy układów liniowych
    Autorzy:
    Kaczorek, Tadeusz
    Powiązania:
    https://bibliotekanauki.pl/articles/2200275.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Technologiczno-Humanistyczny im. Kazimierza Pułaskiego w Radomiu
    Tematy:
    controllability
    observability
    canonical form
    descriptor
    linear system
    sterowalność
    obserwowalność
    postać kanoniczna
    układ deskryptorowy
    układ liniowy
    Opis:
    New approaches to the transformations of the uncontrollable and unobservable matrices of linear systems to their canonical forms are proposed. It is shown that the uncontrollable pair (A,B) and unobservable pair (A,C) of linear systems can be transform to their controllable (̅ , ̅ ) and observable (̅ , ̅ ) canonical forms by suitable choice of nonsingular matrix M satisfying the condition [ ] = [̅ ̅ ] and [ ] = [̂ ̂ ], respectively. It is also shown that by suitable choice of the gain matrix K of the feedbacks of the derivative of the state vector it is possible to reduce the descriptor system to the standard one.
    Zaproponowano nowe podejścia do transformacji niesterowalnych i nieobserwowalnych macierzy układów liniowych do ich postaci kanonicznych. Wykazano, że niesterowalna para (A,B) i nieobserwowalna para (A,C) układów liniowych może być przekształcona do ich postaci kanonicznych sterowalnych i obserwowalnych prze odpowiedni dobór nieosobliwej macierzy M spełniającej warunki [ ] = [̅ ̅ ] i [ ] = [̂ ̂ ]. Pokazano,żeprzezodpowiednidobórmacierzyKsprzężeniazwrotnego od pochodnej wektora stanu jest możliwa redukcja układu deskryptorowegodoukładustandardowego.
    Źródło:
    Journal of Automation, Electronics and Electrical Engineering; 2022, 4, 2; 7--12
    2658-2058
    2719-2954
    Pojawia się w:
    Journal of Automation, Electronics and Electrical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Infinitesimal Brunovský form for nonlinear systems with applications to Dynamic Linearization
    Autorzy:
    Aranda-Bricaire, E.
    Moog, C.
    Pomet, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/1359653.pdf
    Data publikacji:
    1995
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    flat systems
    dynamic feedback linearization
    Brunovský canonical form
    nonlinear control systems
    endogenous dynamic feedback
    Pfaffian systems
    linearized control system
    Opis:
    We define, in an infinite-dimensional differential geometric framework, the 'infinitesimal Brunovský form' which we previously introduced in another framework and link it with equivalence via diffeomorphism to a linear system, which is the same as linearizability by 'endogenous dynamic feedback'.
    Źródło:
    Banach Center Publications; 1995, 32, 1; 19-33
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Similarity transformation of matrices to one common canonical form and its applications to 2D linear systems
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/929586.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    postać kanoniczna
    podobieństwo
    stan sprzężenia zwrotnego
    system 2D
    common canonical form
    similarity transformation
    2D linear system
    state feedback
    Opis:
    The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one, (ii) the reduced 2D system is positive if and only if the linear transformation matrix is monomial. Necessary and sufficient conditions are established for the existence of a gain matrix such that the matrices of the closed-loop system can be reduced to the common canonical form.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 3; 507-512
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Matrix Mittag‑Leffler function in fractional systems and its computation
    Autorzy:
    Matychyn, I.
    Onyshchenko, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/200538.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    matrix Mittag‑Leffler function
    Jordan canonical form
    fractional calculus
    fractional differential equation
    równanie różniczkowe cząstkowe
    funkcja Mittag-Lefflera
    rozkład Jordana
    Opis:
    Matrix Mittag‑Leffler functions play a key role in numerous applications related to systems with fractional dynamics. That is why the methods for computing the matrix Mittag‑Leffler function are so important. The matrix Mittag‑Leffler function is a generalization of matrix exponential function. This implies that some of numerous existing methods for computing the matrix exponential can be adapted for matrix Mittag‑Leffler functions as well. Unfortunately, the technique of scaling and squaring, widely used in computing of the matrix exponential, cannot be applied to matrix Mittag‑Leffler functions, as the latter do not possess the semigroup property. Here we describe a method of computing the matrix Mittag‑Leffler function based on the Jordan canonical form representation. This method is implemented with Matlab code [1].
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 4; 495-500
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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