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Wyszukujesz frazę "– characteristic equation" wg kryterium: Temat

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    Wyświetlanie 1-15 z 15
    Tytuł:
    Analytic solutions of transcendental equations with application to automatics
    Autorzy:
    Górecki, H.
    Zaczyk, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/229203.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    extremal problems
    characteristic equation
    transmittance
    Opis:
    In the paper the extremal dynamic error x(τ) and the moment of time τ are considered. The extremal value of dynamic error gives information about accuracy of the system. The time τ gives information about velocity of transient. The analytical formulae enable design of the system with prescribed properties. These formulae are calculated due to the assumption that x(τ) is a function of the roots s1, ..., sn of the characteristic equation.
    Źródło:
    Archives of Control Sciences; 2016, 26, 4; 497-513
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Decomposition method and its application to the extremal problems
    Autorzy:
    Górecki, H.
    Zaczyk, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/229573.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    extremal problems
    decomposition
    characteristic equation
    transmittance
    Opis:
    In the article solution of the problem of extremal value of x(τ) is presented, for the n-th order linear systems. The extremum of x(τ) is considered as a function of the roots s1, s2, ... sn of the characteristic equation. The obtained results give a possibility of decomposition of the whole n-th order system into a set of 2-nd order systems.
    Źródło:
    Archives of Control Sciences; 2016, 26, 1; 49-67
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extremal values of differential equations with application to control systems
    Autorzy:
    Górecki, Henryk
    Zaczyk, Mieczysław
    Powiązania:
    https://bibliotekanauki.pl/articles/2090724.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    extremal values
    characteristic equation
    transfer function
    Dirac's impulse
    multiple root
    wartości ekstremalne
    równanie charakterystyczne
    funkcja transferu
    impuls Diraca
    Opis:
    In the paper, maximal values xe(τ) of the solutions x(t) of the linear differential equations excited by the Dirac delta function are determined. The analytical solutions of the equations and also the maximal positive values of these solutions are obtained. The analytical formulae enable the design of the system with prescribed properties. The complementary case to the earlier paper is presented. In an earlier paper it was assumed that the roots si are different, and now we consider the case when s1=s2=...=sn.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 1; e136041, 1--5
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extremal values of differential equations with application to control systems
    Autorzy:
    Górecki, Henryk
    Zaczyk, Mieczysław
    Powiązania:
    https://bibliotekanauki.pl/articles/2173558.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    extremal values
    characteristic equation
    transfer function
    Dirac's impulse
    multiple root
    wartości ekstremalne
    równanie charakterystyczne
    funkcja transferu
    impuls Diraca
    Opis:
    In the paper, maximal values xe(τ) of the solutions x(t) of the linear differential equations excited by the Dirac delta function are determined. The analytical solutions of the equations and also the maximal positive values of these solutions are obtained. The analytical formulae enable the design of the system with prescribed properties. The complementary case to the earlier paper is presented. In an earlier paper it was assumed that the roots si are different, and now we consider the case when s1=s2=...=sn.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 1; art. no. e136041
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Continuation of holomorphic solutions to convolution equations in complex domains
    Autorzy:
    Ishimura, Ryuichi
    Okada, Jun-ichi
    Okada, Yasunori
    Powiązania:
    https://bibliotekanauki.pl/articles/1207967.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    convolution equation
    analytic continuation
    characteristic set
    Opis:
    For an analytic functional $S$ on $ℂ^n$, we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in $ℂ^n$. We determine the directions in which every solution can be continued analytically, by using the characteristic set.
    Źródło:
    Annales Polonici Mathematici; 2000, 74, 1; 105-115
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Cayley-Hamilton theorem for Drazin inverse matrix and standard inverse matrices
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/201715.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    extension
    Cayley-Hamilton theorem
    characteristic equation
    Drazin inverse
    inverse matrix
    rozbudowa
    twierdzenie Cayleya-Hamiltona
    równanie charakterystyczne
    macierz odwrotna
    odwrotność Drazina
    Opis:
    The classical Cayley-Hamilton theorem is extended to Drazin inverse matrices and to standard inverse matrices. It is shown that knowing the characteristic polynomial of the singular matrix or nonsingular matrix, it is possible to write the analog Cayley-Hamilton equations for Drazin inverse matrix and for standard inverse matrices.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 4; 793-797
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Characteristic equations of the standard and descriptor linear electrical circuits
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/376507.pdf
    Data publikacji:
    2017
    Wydawca:
    Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
    Tematy:
    computation
    characteristic equation
    standard
    descriptor
    linear
    electrical circuit
    Opis:
    The problem of calculation of the characteristic equations of the standard and descriptor linear electrical circuits is addressed. It is shown that the characteristic equation of the linear electrical circuit is independent of the method used for its analysis. The well-known three methods: the state space method, the mesh method and the node method are analyzed.
    Źródło:
    Poznan University of Technology Academic Journals. Electrical Engineering; 2017, 89; 11-23
    1897-0737
    Pojawia się w:
    Poznan University of Technology Academic Journals. Electrical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Characteristic equations of the standard and descriptor linear electrical circuits of integer and fractional orders
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/386767.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    characteristic equation
    standard
    descriptor
    fractional
    linear
    electrical circuit
    Opis:
    The problem of calculation of the characteristic equations of the standard and descriptor linear electrical circuits of integer and fractional orders is addressed. It is shown that the characteristic equations of standard and descriptor linear electrical circuits are independent of the method used in their analysis: the state space method, the mesh method and the node method. The considerations are illustrated by examples of standard and fractional linear electrical circuits.
    Źródło:
    Acta Mechanica et Automatica; 2018, 12, 3; 209-216
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Conditions for asymptotic stability of first order scalar differential-difference equation with complex coefficients
    Autorzy:
    Kapica, Rafał
    Zawiski, Radosław
    Powiązania:
    https://bibliotekanauki.pl/articles/27314669.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    first order differential-difference equation with complex coefficients
    stability of differential-difference equation
    characteristic exponential polynomial of differential-difference equation
    retarded differential-difference equation
    DDE
    Opis:
    We investigate a scalar characteristic exponential polynomial with complex coefficients associated with a first order scalar differential-difference equation. Our analysis provides necessary and sufficient conditions for allocation of the roots in the complex open left half-plane what guarantees asymptotic stability of the differential-difference equation. The conditions are expressed explicitly in terms of complex coefficients of the characteristic exponential polynomial, what makes them easy to use in applications. We show examples including those for retarded PDEs in an abstract formulation.
    Źródło:
    Archives of Control Sciences; 2023, 33, 3; 607--629
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Generalized characteristic singular integral equation with Hilbert kernel
    Autorzy:
    Karczmarek, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/255057.pdf
    Data publikacji:
    2008
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    singular integral equation
    characteristic equation
    exact solution
    Hilbert kernel
    Opis:
    In this paper an explicit solution of a generalized singular integral equation with a Hilbert kernel depending on indices of characteristic operators is presented.
    Źródło:
    Opuscula Mathematica; 2008, 28, 3; 287-294
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An alternative to Gower’s inverse matrix
    Autorzy:
    López-Bonilla, J.
    López-Vázquez, R.
    Vidal-Beltrán, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1177483.pdf
    Data publikacji:
    2018
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Adjoint matrix
    Characteristic equation
    Eigenvalue problem
    Faddeev-Sominsky’s method
    Gower’s pseudoinverse matrix
    Leverrier-Takeno’s algorithm
    Opis:
    We show that the Faddeev-Sominsky’s process allows construct a natural inverse for any square matrix, which is an alternative to the inverse obtained by Gower.
    Źródło:
    World Scientific News; 2018, 102; 166-172
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new method for estimating fault location in radial medium voltage distribution network only using measurements at feeder beginning
    Autorzy:
    Ngoc-Hung, Truong
    Powiązania:
    https://bibliotekanauki.pl/articles/24202735.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    characteristic equation
    distribution network
    fault location
    fault ranking index
    global search
    Opis:
    This paper proposes a new fault location method in radial medium voltage distribution networks. The proposed method only uses the measurement data at the feeder beginning to approximate the characteristic equation showing the dependence between the positive-sequence voltage and phase angle at the monitoring point with the distance to the fault location for each fault type on each line segment. To determine these characteristic equation coefficients, the entire distribution network will be modeled and simulated by four types of faults at different locations along the lines to build the initial database. Based on this database, the mathematical functions in MATLAB software are applied to approximate these coefficients corresponding to each type of fault for each line segment in the network. Then, from the current and voltage measurement data at the feeder beginning, the algorithms of global search, comparison, and fault ranking are used to find out where the fault occurs on the distribution network. Two types of distribution network with and without branches are studied and simulated in this paper to verify and evaluate the effectiveness of the proposed method.
    Źródło:
    Archives of Electrical Engineering; 2023, 72, 2; 503--520
    1427-4221
    2300-2506
    Pojawia się w:
    Archives of Electrical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An asymptotic expansion for the distribution of the supremum of a random walk
    Autorzy:
    Sgibnev, M. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1206084.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    random walk
    supremum
    submultiplicative function
    characteristic equation
    absolutely continuous component
    oscillating random walk
    stationary distribution
    asymptotic expansions
    Banach algebras
    Laplace transform
    Opis:
    Let ${S_n}$ be a random walk drifting to -∞. We obtain an asymptotic expansion for the distribution of the supremum of ${S_n}$ which takes into account the influence of the roots of the equation $1-∫_ℝe^{sx}F(dx)=0,F$ being the underlying distribution. An estimate, of considerable generality, is given for the remainder term by means of submultiplicative weight functions. A similar problem for the stationary distribution of an oscillating random walk is also considered. The proofs rely on two general theorems for Laplace transforms.
    Źródło:
    Studia Mathematica; 2000, 140, 1; 41-55
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Faddeev-Sominsky’s algorithm
    Autorzy:
    Torres-Silva, H.
    López-Bonilla, J.
    Vidal-Beltrán, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1166341.pdf
    Data publikacji:
    2018
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Adjoint matrix
    Characteristic equation
    Eigenvalue problem
    Faddeev-Sominsky’s method
    Inverse matrix
    Leverrier-Takeno’s algorithm
    Resolvent of a matrix
    Opis:
    We comment that the Faddeev-Sominsky’s process to obtain an inverse matrix is equivalent to the Cayley-Hamilton-Frobenius theorem plus the Leverrier-Takeno’s method to construct the characteristic polynomial of an arbitrary matrix. Besides, we deduce the Lanczos expression for the resolvent of the corresponding matrix.
    Źródło:
    World Scientific News; 2018, 106; 238-244
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Research on the output characteristics of photovoltaic arrays under partial shading conditions based on peak point approximate calculation method
    Autorzy:
    Wei, Liming
    Li, Kaikai
    Powiązania:
    https://bibliotekanauki.pl/articles/2086691.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    – characteristic equation
    peak point approximate calculation method
    peak voltage point
    shadow occlusion’s rate
    type of illumination distribution
    Opis:
    The mismatch effect of photovoltaic (PV) arrays due to different illumination intensity has a significant impact on the output characteristics and output power of PV arrays, which is crucial to understand the output characteristics of PV arrays and optimize the array configuration in order to improve the value of the maximum power point. This paper illustrates the short-circuit current mismatch of series circuits, and the open-circuit voltage mismatch of parallel circuits and proposes corresponding solutions for each mismatch phenomenon. The output characteristics of multi-stage series PV arrays and multi-stage parallel PV arrays under complex illumination are analyzed by using the peak point approximation calculation method, and the distribution law of peak voltage points as well as the I-V (Current-Voltage) characteristic equation of each operating section are proposed. On this basis, the output characteristics of 3 x 3 centralized PV arrays are analyzed and verified by simulation. By comparing series and parallel PV arrays with the same condition, as well as several groups of centralized PV arrays with the same topology and different types of illumination distribution, this paper proposes a configuration optimization method for PV arrays. Matlab/Simulink simulation results confirm that the output power of parallel arrays is greater than that of series arrays under the same configuration and illuminationt distribution type, and the peak point is less than that of series arrays under the same configuration and lighting conditions; while in centralized PV arrays, the fewer series modules are shaded, the greater the output power and the less the peak point.
    Źródło:
    Archives of Electrical Engineering; 2022, 71, 2; 409--424
    1427-4221
    2300-2506
    Pojawia się w:
    Archives of Electrical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-15 z 15

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