Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 4

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Analytic solution of transcendental equations

100%
Górecki H.
International Journal of Applied Mathematics and Computer Science
|
2010
|
tom 20
|
nr 4
671-677
EN
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.
2
Content available remote

Algebraic condition for decomposition of large-scale linear dynamic systems

100%
Górecki H.
International Journal of Applied Mathematics and Computer Science
|
2009
|
tom 19
|
nr 1
107-111
EN
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.
3
Content available remote

Analytic results for oscillatory systems with extremal dynamic properties

63%
Górecki H., Zaczyk M.
International Journal of Applied Mathematics and Computer Science
|
2014
|
tom 24
|
nr 4
771-784
EN
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.
4
Content available remote

A new method for analytic determination of extremum of the transients in linear systems

44%
Górecki H.
Control and Cybernetics
|
2004
|
tom 33
|
nr 2
275-295
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.