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Wyszukujesz frazę "Górecki." wg kryterium: Autor


Tytuł:
A new method for analytic determination of extremum of the transients in linear systems
Autorzy:
Górecki, H.
Powiązania:
https://bibliotekanauki.pl/articles/970346.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
równanie przestępne
układ stacjonarny liniowy
optymalizacja parametryczna
formułka obliczeniowa
wyróżnik funkcji wykładniczej
wyznacznik Vandermondesa
wzór Vietesa
transcendental equations
extremal dynamic error
linear stationary system
parametric optimization
analytic formulae
discriminants of exponential functions
Vandermonde's determinant
Viete's formulae
process control
Opis:
The relation between extremal values of the error and the coefficients of its differential equations is one of the central problems of control systems in chemical industry, because extremal values of the error sometimes cause serious damages to the environment or to the system itself. Analytical formulae for the determination of these values are known only for the second-order systems. In this paper a method which permits to determine extremal values of the error in higher-order systems is proposed.
Źródło:
Control and Cybernetics; 2004, 33, 2; 275-295
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An electric network chain with feedbacks
Autorzy:
Górecki, H.
Powiązania:
https://bibliotekanauki.pl/articles/206781.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
electric network chain
Paraseval's formula
poles
transfer function
Opis:
In the paper an R, L. C, G electric network chain with feedbacks is considered. The formulas for the transfer function, for its poles and for the integral square error value are given.
Źródło:
Control and Cybernetics; 2000, 29, 1; 111-118
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Algebraic condition for decomposition of large-scale linear dynamic systems
Autorzy:
Górecki, H.
Powiązania:
https://bibliotekanauki.pl/articles/907869.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
rozkład
warunek algebraiczny
system dynamiczny
decomposition
algebraic condition
dynamic system
Opis:
The paper concerns the problem of decomposition of a large-scale linear dynamic system into two subsystems. An equivalent problem is to split the characteristic polynomial of the original system into two polynomials of lower degrees. Conditions are found concerning the coefficients of the original polynomial which must be fulfilled for its factorization. It is proved that knowledge of only one of the symmetric functions of those polynomials of lower degrees is sufficient for factorization of the characteristic polynomial of the original large-scale system. An algorithm for finding all the coefficients of the decomposed polynomials and a general condition of factorization are given. Examples of splitting the polynomials of the fifth and sixth degrees are discussed in detail.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 1; 107-111
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytic solution of transcendental equations
Autorzy:
Górecki, H.
Powiązania:
https://bibliotekanauki.pl/articles/908142.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
równanie przestępne
zera
ekstrema
transcendental equations
zeros
extrema
Opis:
A decomposition technique of the solution of an n-th order linear differential equation into a set of solutions of 2-nd order linear differential equations is presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 4; 671-677
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relationship Between Energy and Information
Autorzy:
Górecki, H.
Powiązania:
https://bibliotekanauki.pl/articles/911194.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
entropy of information
energy
stabilization
DC motor
white noise
Opis:
Two ways of speed stabilization of the D.C. motor are considered. One way consists in the use of additional kinetic energy accumulated in a wheel with a large moment of inertia J. The other consists in the use of additional information supplied by a feedback loop with gain K. In both the cases the motor is under the influence of the same white Gaussion noise. These two ways of stabilization are compared under the assumption of the same value of the speed error in the steady state.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 405-411
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytic results for oscillatory systems with extremal dynamic properties
Autorzy:
Górecki, H.
Zaczyk, M.
Powiązania:
https://bibliotekanauki.pl/articles/330040.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
extremal dynamic properties
oscillatory system
extremal time
własności dynamiczne
układ oscylacyjny
czas ekstremalny
Opis:
The maximal value of the error is the most important criterion in system design. It is also the most difficult one. For that reason there exist many other criteria. The extreme value of the error represents the attainable accuracy which can be obtained and the corresponding extreme time gives information about how fast the transients are. The extreme values of the error and the corresponding time are treated here as functions of the roots of the characteristic equation. The proposed analytical formulae allow designing systems with prescribed dynamic properties.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 4; 771-784
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive extremal values and solutions of the exponential equations with application to automatics
Autorzy:
Górecki, H.
Zaczyk, M.
Powiązania:
https://bibliotekanauki.pl/articles/200169.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
extremal values
transfer function
transcendental equations
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. There are obtained the analytical solutions of the equations and also the maximal positive values of these solutions. The obtained sufficient conditions of the positivity of these solutions are defined by the Theorems. There are also formulated the necessary conditions of the positivity of these solutions. The analytical formulae enable the design of the system with prescribed properties.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 3; 585-591
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of the oscillatory systems with the extremal dynamic properties
Autorzy:
Górecki, H.
Zaczyk, M.
Powiązania:
https://bibliotekanauki.pl/articles/200267.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
extremal dynamic properties
oscillatory systems
symmetrical equations
regions of the roots
Opis:
In this article the problem of determination of such coefficients a1, a2, ..., an and eigenvalues s1, s2, ..., sn of the characteristic equation which yield required extremal values of the solution x(t) at the extremal value τ of time is solved. The extremal values of x(τ ) and τ are treated as functions of the roots s1, s2, ..., sn. The analytical formulae enable us to design the systems with prescribed dynamic properties. For solution of the problem the properties of symmetrical equations are used. The method is illustrated by an example of the equation of 4-th degree. The regions of the different kinds of the roots: real, with one pair of complex and two pairs of complex roots are illustrated. A practical problem is shown.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 2; 241-253
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of systems with extremal dynamic properties
Autorzy:
Górecki, H.
Zaczyk, M.
Powiązania:
https://bibliotekanauki.pl/articles/202101.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
systems
extremal dynamic properties
overvoltages waves
Opis:
In this article the problem of determination of coefficients a1, a2, . . . , an of the characteristic equation which yield required extremal values of the solution x(t) at extremal values τ of time is solved. The extremal values of x(t) and τ are treated as functions of the roots s1, s2, . . . , sn. The analytical formulae enable to design the systems with prescribed dynamic properties. The zeros and poles can be located using the known method. The extremal dynamic error x(t) is the most important property of the behaviour of the system. This extremal value of the dynamic error has fundamental role in the chemical industry where for example overrising temperature or pressure can lead to an explosion. A second very important property is the extremal time τ connected with the extremal value of the error. This property is essential in the electroenergetic system, which can be destroyed by the overvoltages waves.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 3; 563-567
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical 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 dynamic errors in linear dynamic systems
Autorzy:
Górecki, H.
Zaczyk, M.
Powiązania:
https://bibliotekanauki.pl/articles/199915.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
extremal dynamic errors
linear dynamic systems
Opis:
Two different analytical methods of determining extremal dynamic errors in linear dynamic systems are presented. The main idea of these methods is based on finding certain additional equations. These additional equations are obtained due to the assumption that an extremal point obtained from the necessary condition dx/dt=0, is also an extremum point with respect to initial conditions, that is, d/dci= 0, i = 1, . . . , n.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2010, 58, 1; 99-105
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determination of optimal controllers. Comparison of two methods for electric network chain
Autorzy:
Górecki, H.
Zaczyk, M.
Powiązania:
https://bibliotekanauki.pl/articles/199967.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
filtr Kalmana
równanie Riccatiego
optimal controllers
Kalman equation
Riccati equation
Opis:
In the paper the comparison of two methods for calculation optimal gains is considered. One method using a Kalman procedure and one using a Riccati equation are compared. It is proved that a Kalman procedure is much better.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 3; 267-273
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
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

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