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    Wyświetlanie 1-13 z 13
    Tytuł:
    An algorithm for checking Hurwitz stability of K-symmetrizable interval matrices
    Autorzy:
    Kowynia, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/970091.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    symmetrizable matrix
    interval matrix
    positive definite matrix
    Opis:
    The necessary and sufficient condition for stability of K-symmetrizable interval matrix is given. An algorithm for checking stability of K-symmetrizable interval matrix is proposed.
    Źródło:
    Control and Cybernetics; 2005, 34, 2; 477-486
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Intervals of certain classes of Z-matrices
    Autorzy:
    Kannan, M.
    Sivakumar, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/729209.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    interval matrix
    M-matrix
    N-matrix
    N₀-matrix
    nonnegativity
    Opis:
    Let A and B be M-matrices satisfying A ≤ B and J = [A,B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible M-matrix and A ≤ B, then aA + bB is an invertible M-matrix for all a,b > 0. In this article, we present an elementary proof of a stronger version of this result and study corresponding results for certain other classes as well.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2014, 34, 1; 85-93
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust stability of a class of uncertain fractional order linear systems with pure delay
    Autorzy:
    Busłowicz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/229707.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    linear system
    fractional
    continuous-time
    pure delay
    robust stability
    interval matrix
    Opis:
    The paper considers the robust stability problem of uncertain continuous-time fractional order linear systems with pure delay in the following two cases: a) the state matrix is a linear convex combination of two known constant matrices, b) the state matrix is an interval matrix. It is shown that the system is robustly stable if and only if all the eigenvalues of the state matrix multiplied by delay in power equal to fractional order are located in the open stability region in the complex plane. Parametric description of boundary of this region is derived. In the case a) the necessary and sufficient computational condition for robust stability is established. This condition is given in terms of eigenvalue-loci of the state matrix, fractional order and time delay. In the case b) the method for determining the rectangle with sides parallel to the axes of the complex plane in which all the eigenvalues of interval matrix are located is given and the sufficient condition for robust stability is proposed. This condition is satisfied if the rectangle multiplied by delay in power equal to fractional order lie in the stability region. The considerations are illustrated by numerical examples.
    Źródło:
    Archives of Control Sciences; 2015, 25, 2; 177-187
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    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:
    The energy of interval valued neutrosophic matrix in decision-making to select the manager for the company project
    Autorzy:
    Donbosco, Jeni Seles Martina
    Ganesan, Deepa
    Powiązania:
    https://bibliotekanauki.pl/articles/27315316.pdf
    Data publikacji:
    2023
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    neutrosophic set
    matrix energy
    interval-valued neutrosophic matrix
    multi-criteria decision-making
    Opis:
    The concept of energy in graphs and matrices is used effectively in all application areas. The energy of the matrix is an extension of graph energy. The usage of the energy idea in neutrosophic matrices makes it more flexible and applicable in multi-criteria decision-making environments. In this paper, we propose the energy approach in neutrosophic matrices with interval values. We determined the given energy’s upper and lower bounds. The energy is used of the interval-valued neutrosophic matrix to address the MCDM problem. A new strategy has been introduced called the interval-valued neutrosophic energy method to solve this problem. We look at the problem of choosing a qualified manager for a business project. A team of professionals in the company evaluates the options using neutrosophic numbers with interval values, and the energy method is then used to calculate the result. The result has been compared with the TOPSIS method results to show that the outcomes are similar.
    Źródło:
    Operations Research and Decisions; 2023, 33, 4; 35--51
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An Interval-Valued Intuitionistic Fuzzy Matrices Based on Hamacher Operations
    Autorzy:
    Silambarasan, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031793.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Exponentiation operations
    Fuzzy matrix
    Hamacher product
    Hamacher sum
    Interval-valued intuitionistic fuzzy matrix
    Scalar multiplication
    Opis:
    The objective of this paper is to apply the concept of fuzzy matrices to interval-valued intuitionistic fuzzy matrices. In this paper, we introduce the Hamacher operations of interval-valued intuitionistic fuzzy matrices and prove some desirable properties of these operations, such as commutativity, idempotency and monotonicity. Further, we prove De Morgan's laws over complement for these operations. Then we constructe the scalar multiplication (n._h A) and exponentiation (A^(∧_h n)) operations of interval-valued fuzzy intuitionistic matrices and investigates the algebraic properties.
    Źródło:
    World Scientific News; 2020, 150; 148-161
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Group decision making using interval-valued intuitionistic fuzzy soft matrix and confident weight of experts
    Autorzy:
    Das, S.
    Kar, S.
    Pal, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/91665.pdf
    Data publikacji:
    2014
    Wydawca:
    Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
    Tematy:
    multiple attribute group decision making
    MAGDM
    interval-valued intuitionistic fuzzy soft matrix
    IVIFSM
    interval-valued intuitionistic fuzzy soft sets
    IVIFSSs
    Opis:
    This article proposes an algorithmic approach for multiple attribute group decision making (MAGDM) problems using interval-valued intuitionistic fuzzy soft matrix (IVIFSM) and confident weight of experts. We propose a novel concept for assigning confident weights to the experts based on cardinals of interval-valued intuitionistic fuzzy soft sets (IVIFSSs). The confident weight is assigned to each of the experts based on their preferred attributes and opinions, which reduces the chances of biasness. Instead of using medical knowledgebase, the proposed algorithm mainly relies on the set of attributes preferred by the group of experts. To make the set of preferred attributes more important, we use combined choice matrix, which is combined with the individual IVIFSM to produce the corresponding product IVIFSM. This article uses IVIFSMs for representing the experts’ opinions. IVIFSM is the matrix representation of IVIFSS and IVIFSS is a natural combination of interval-valued intuitionistic fuzzy set (IVIFS) and soft set. Finally, the performance of the proposed algorithm is validated using a case study from real life.
    Źródło:
    Journal of Artificial Intelligence and Soft Computing Research; 2014, 4, 1; 57-77
    2083-2567
    2449-6499
    Pojawia się w:
    Journal of Artificial Intelligence and Soft Computing Research
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Stability Interval of the Set of Linear System
    Autorzy:
    Mazakov, Talgat
    Wójcik, Waldemar
    Jomartova, Sholpan
    Karymsakova, Nurgul
    Ziyatbekova, Gulzat
    Tursynbai, Aisulu
    Powiązania:
    https://bibliotekanauki.pl/articles/1844628.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    automatic control system
    stability
    matrix
    minor
    characteristic polynomial
    Hurwitz criterion
    Lienard-Shipard criterion of interval mathematics
    Lyapunov function
    Opis:
    The article considers the problem of stability of interval-defined linear systems based on the Hurwitz and LienardShipar interval criteria. Krylov, Leverier, and Leverier-Danilevsky algorithms are implemented for automated construction and analysis of the interval characteristic polynomial. The interval mathematics library was used while developing the software. The stability of the dynamic system described by linear ordinary differential equations is determined and based on the properties of the eigenvalues of the interval characteristic polynomial. On the basis of numerical calculations, the authors compare several methods of constructing the characteristic polynomial. The developed software that implements the introduced interval arithmetic operations can be used in the study of dynamic properties of automatic control systems, energy, economic and other non-linear systems.
    Źródło:
    International Journal of Electronics and Telecommunications; 2021, 67, 2; 155-161
    2300-1933
    Pojawia się w:
    International Journal of Electronics and Telecommunications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An interval Kalman filter enhanced by lowering the covariance matrix upper bound
    Autorzy:
    Tran, Tuan Anh
    Jauberthie, Carine
    Trave-Massuyés, Louise
    Lu, Quoc Hung
    Powiązania:
    https://bibliotekanauki.pl/articles/1838206.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    uncertain linear systems
    Kalman filter
    interval analysis
    estimation
    covariance matrix
    układ liniowy
    filtr Kalmana
    analiza interwałowa
    macierz kowariancji
    Opis:
    This paper proposes a variance upper bound based interval Kalman filter that enhances the interval Kalman filter based on the same principle proposed by Tran et al. (2017) for uncertain discrete time linear models. The systems under consideration are subject to bounded parameter uncertainties not only in the state and observation matrices, but also in the covariance matrices of the Gaussian noises. By using the spectral decomposition of a symmetric matrix and by optimizing the gain matrix of the proposed filter, we lower the minimal upper bound on the state estimation error covariance for all admissible uncertainties. This paper contributes with an improved algorithm that provides a less conservative error covariance upper bound than the approach proposed by Tran et al. (2017). The state estimates are determined using interval analysis in order to enclose the set of all possible solutions of the classical Kalman filter consistent with the uncertainties.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 2; 259-269
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Statistical inferences in material selection of a polymer matrix for natural fiber composites
    Wnioskowanie statystyczne w wyborze materiału osnowy polimerowej kompozytów z włóknami naturalnymi
    Autorzy:
    Noryani, M.
    Sapuan, M. S.
    Mastura, M. T.
    Zuhri, M. M. Y.
    Zainudin, E. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/947395.pdf
    Data publikacji:
    2020
    Wydawca:
    Sieć Badawcza Łukasiewicz - Instytut Chemii Przemysłowej
    Tematy:
    material selection
    polymer matrix
    stepwise regression
    hypothesis testing
    confidence interval
    wybór materiału
    osnowa polimerowa
    regresja krokowa
    testowanie hipotez
    przedział ufności
    Opis:
    In this paper, statistical inferences in material selection of polymer matrix for natural fiber composite are presented. Hypothesis testing and confidence interval were used to evaluate the suitability of the sample for use as a matrix in natural fiber reinforced composites. The screening process for material selection was carried out using a stepwise regression method. Then, the ranking process in material selection was conducted using an estimation of performance score (PS) for mechanical properties such as impact strength (IS), elongation at break (E) and tensile strength (TS). Ten types of polymer were involved in the study. The final selection revealed that polyamide (PA6), polyurethanes (PUR) and polypropylene (PP) are the potential candidates to manufacture hand-brake levers according to IS, E and TS, respectively. Here, it was found that the score for Tp (thermoplastic) is better than Ts (thermoset) in terms of IS. In contrast, the Ts offered a better score result than, Tp, with respect to E and TS. The results of statistical measurements using statistical modelling prove that the data analysis can be used as a part of the decision making in material selection.
    Opisano wnioskowanie statystyczne dotyczące wyboru materiału osnowy polimerowej kompozytu z włóknami naturalnymi. Testy hipotez statystycznych i przyjęte przedziały ufności służyły do oceny próbki pod względem przydatności do zastosowania w charakterze osnowy polimerowej w kompozycie wzmocnionym włóknem naturalnym. Selekcji materiałów dokonano przy użyciu metody regresji krokowej, następnie uszeregowano wybrane materiały z wykorzystaniem rankingu oceny (PS) właściwości mechanicznych, takich jak: udarność (IS), wydłużenie przy zerwaniu (E) i wytrzymałość na rozciąganie (TS). Wyselekcjonowano wstępnie 10 rodzajów polimerów zaliczanych do grup polimerów termoplastycznych (Tp) i termoutwardzalnych (Ts). Wnioskowanie statystyczne wykazało, że poliamid (PA6), poliuretany (PUR) i polipropylen (PP) są potencjalnie korzystnymi osnowami polimerowymi do wytwarzania dźwigni hamulca ręcznego. Stwierdzono, że polimery z grupy Tp wykazują lepszą udarność niż polimery z grupy Ts. Natomiast materiały Ts charakteryzują korzystniejsze wartości wydłużenia przy zerwaniu i wytrzymałości na rozciąganie niż ich odpowiedniki z grupy Tp. Wyniki przeprowadzonej analizy danych z zastosowaniem modelowania statystycznego dowodzą, że metoda ta może być pomocna przy wyborze materiału odpowiedniego do planowanej aplikacji.
    Źródło:
    Polimery; 2020, 65, 2; 105-114
    0032-2725
    Pojawia się w:
    Polimery
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Determination of rational parameters for urban bus route with combined operating mode
    Autorzy:
    Taran, I.
    Litvin, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/375343.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
    Tematy:
    combined transportation mode
    inter-stop communication matrix
    traffic interval
    capacity coefficient
    unproductive transportation
    rodzaj transportu kombinowanego
    matryca komunikacji pomiędzy przystankami
    interwał ruchu
    współczynnik przepustowości
    transport nieproduktywny
    Opis:
    The paper considers the problems concerning the improvement of passenger transportation process at the expense of the combined operating mode implementation. Efficiency criteria to implement the mixed conveyance forms have been formulated. An extensive approach to determine stopping points, involved in a highspeed route, has been proposed. An economic and mathematical model has been developed. The model makes it possible to study and determine both expediency and rational parameters concerning the implementation of the mixed high-speed conveyance forms. A structure of the integrated efficiency index has been proposed helping select the best approach, and involving the basic economic, technological, and social indices. The modeling outcomes as well as performance efficiency, resulting from the implementation of a high-speed conveyance in the context of an urban route, have been represented.
    Źródło:
    Transport Problems; 2018, 13, 4; 157-171
    1896-0596
    2300-861X
    Pojawia się w:
    Transport Problems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Observer-based controller design of time-delay systems with an interval time-varying delay
    Autorzy:
    Thuan, M. V.
    Phat, V. N.
    Trinh, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/331338.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sprzężenie zwrotne
    opóźnienie czasowo zależne
    liniowa nierówność macierzowa
    funkcjonał Lapunowa-Krasowskiego
    stabilność wykładnicza
    observer based feedback control
    interval time-varying delay
    linear matrix inequality
    Lyapunov-Krasovskii functional
    exponential stability
    Opis:
    This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds. The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov-Krasovskii functionals and utilizing the Newton-Leibniz formula, a delay-dependent stabilizability condition which is expressed in terms of Linear Matrix Inequalities (LMIs) is derived to ensure the closed-loop system is exponentially stable with a prescribed \alfa-convergence rate. The design of an observer based output feedback controller can be carried out in a systematic and computationally efficient manner via the use of an LMI-based algorithm. A numerical example is given to illustrate the design procedure.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 4; 921-927
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust performance of a class of control systems
    Autorzy:
    Wang, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/970421.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    system niepewny
    analiza odporności
    stabilność Hurwitza
    D-stabilność
    funkcja przenoszenia
    uncertain systems
    robustness analysis
    Kharitonov's theorem
    complex interval polynomials
    polynomial matrix family
    Hurwitz stability
    D-stability
    transfer functions
    strict positive realness
    Opis:
    Some Kharitonov-like robust Hurwitz stability criteria are established for a class of complex polynomial families with nonlinearly correlated perturbations. These results are extended to the polynomial matrix case and non-interval D-stability case. Applications of these results in testing of robust strict positive realness of real and complex interval transfer function families are also presented.
    Źródło:
    Control and Cybernetics; 2004, 33, 1; 71-83
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-13 z 13

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