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Wyświetlanie 1-15 z 19
Tytuł:
Bilateral Polynomial Equations With Unimodular Right-Hand-Side Matrices
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/908092.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
robotyka
bilateral
polynomial equation
unimodular procedure
solution
Opis:
Necessary and sufficient conditions are established for the existence of a solution to some bilateral polynomial matrix equations with unimodular right-hand-side matrices. A procedure for the computation of the solution is derived and illustrated by a numerical example. Two examples of applications of bilateral polynomial matrix equations are presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 511-514
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the computation of the minimal polynomial of a polynomial matrix
Autorzy:
Karampetakis, P.
Tzekis, P.
Powiązania:
https://bibliotekanauki.pl/articles/908531.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
wielomian minimalny
dyskretna transformacja Fouriera
macierz wielomianowa
macierzowe równanie liniowe
minimal polynomial
discrete Fourier transform
polynomial matrix
linear matrix equations
Opis:
The main contribution of this work is to provide two algorithms for the computation of the minimal polynomial of univariate polynomial matrices. The first algorithm is based on the solution of linear matrix equations while the second one employs DFT techniques. The whole theory is illustrated with examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 3; 339-349
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Relationship Between the Infinite Eigenvalue Assignment for Singular Systems and the Solvability of Polynomial Matrix Equations
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/908199.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
robotyka
assignment
infinite eigenvalue
singular
polynomial matrix equation
system
reliationship
Opis:
Two related problems, namely the problem of the infinite eigenvalue assignment and that of the solvability of polynomial matrix equations are considered. Necessary and sufficient conditions for the existence of solutions to both the problems are established. The relationships between the problems are discussed and some applications from the field of the perfect observer design for singular linear systems are presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 161-167
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and Computation of the Set of Positive Solutions to Polynomial Matrix Equations
Autorzy:
Kaczorek, T.
Łopatka, R.
Powiązania:
https://bibliotekanauki.pl/articles/911183.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
obliczanie
równanie macierzowe
computation
set of positive solutions
polynomial matrix equation
Opis:
Necessary and sufficient conditions are established for the existence of positive solutions to polynomial diophatine equations. A method of computing of the set of positive solutions to a polynomial diophatine equation based on extreme points and extreme directions is proposed. The effectiveness of the method is demonstrated on a numerical example.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 309-320
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and determination of the set of Metzler matrices for given stable polynomials
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/331407.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
oznaczanie
istnienie
macierz Metzlera
wielomian
stabilność
determination
existence
Metzler matrix
polynomial
stability
Opis:
The problem of the existence and determination of the set of Metzler matrices for given stable polynomials is formulated and solved. Necessary and sufficient conditions are established for the existence of the set of Metzler matrices for given stable polynomials. A procedure for finding the set of Metzler matrices for given stable polynomials is proposed and illustrated with numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 389-399
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Polynomial systems theory applied to the analysis and design of multidimensional systems
Autorzy:
Hatonen, J.
Ylinen, R.
Powiązania:
https://bibliotekanauki.pl/articles/908252.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
informatyka
nD systems
module of fractions
partial differential equations
polynomial systems theory
Opis:
The use of a principal ideal domain structure for the analysis and design of multidimensional systems is discussed. As a first step it is shown that a lattice structure can be introduced for IO-relations generated by polynomial matrices in a signal space X (an Abelian group). It is assumed that the matrices take values in a polynomial ring F[p] where F is a field such that F[p] is a commutative subring of the ring of endomorphisms of X. After that it is analysed when a given F[p] acting on X can be extended to its field of fractions F(p). The conditions on the pair (F[p],X) are quite restrictive, i.e. each non-zero a(p)\in F[p] has to be an automorphism on X before the extension is possible. However, when this condition is met, say for operators { p1,p2,..., pn-1}, a polynomial ring F[p1,p2,...,pn] acting on X can be extended to F(p1,p2,..., pn-1)[pn], resulting in a principal ideal domain structure. Hence in this case all the rigorous principles of `ordinary' polynomial systems theory for the analysis and design of systems is applicable. As an example, both an observer for estimating non-measurable outputs and a stabilizing controller for a distributed parameter system are designed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 1; 15-27
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Proper feedback compensators for a strictly proper plant by polynomial equations
Autorzy:
Callier, F. M.
Kraffer, F.
Powiązania:
https://bibliotekanauki.pl/articles/908450.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
liniowy układ stacjonarny
sprzężenie zwrotne
macierz wielomianowa
równanie wielomianowe
linear time-invariant feedback control systems
polynomial matrix systems
row-column-reduced polynomial matrices
feedback compensator design
flexible belt device
Opis:
We review the polynomial matrix compensator equation XlDr + YlNr = Dk (COMP), e.g. (Callier and Desoer, 1982, Kučera, 1979; 1991), where (a) the right-coprime polynomial matrix pair (Nr,Dr) is given by the strictly proper rational plant right matrix-fraction P = NrD-1 r , (b) Dk is a given nonsingular stable closed-loop characteristic polynomial matrix, and (c) (Xl, Yl) is a polynomial matrix solution pair resulting possibly in a (stabilizing) rational compensator given by the left fraction C = X-1 l Yl. We recall first the class of all polynomial matrix pairs (Xl, Yl) solving (COMP) and then single out those pairs which result in a proper rational compensator. An important role is hereby played by the assumptions that (a) the plant denominator Dr is column-reduced, and (b) the closed-loop characteristic matrix Dk is row-column-reduced, e.g., monically diagonally degree-dominant. This allows us to get all solution pairs (Xl, Yl) giving a proper compensator with a row-reduced denominator Xl having (sufficiently large) row degrees prescribed a priori. Two examples enhance the tutorial value of the paper, revealing also a novel computational method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 493-507
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A sixth-order finite volume method for the 1D biharmonic operator: Application to intramedullary nail simulation
Autorzy:
Costa, R.
Machado, G. J.
Clain, S.
Powiązania:
https://bibliotekanauki.pl/articles/330268.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
finite volume method
polynomial reconstruction operator
harmonic operator
biharmonic operator
high order method
Opis:
A new very high-order finite volume method to solve problems with harmonic and biharmonic operators for one-dimensional geometries is proposed. The main ingredient is polynomial reconstruction based on local interpolations of mean values providing accurate approximations of the solution up to the sixth-order accuracy. First developed with the harmonic operator, an extension for the biharmonic operator is obtained, which allows designing a very high-order finite volume scheme where the solution is obtained by solving a matrix-free problem. An application in elasticity coupling the two operators is presented. We consider a beam subject to a combination of tensile and bending loads, where the main goal is the stress critical point determination for an intramedullary nail.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 3; 529-537
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Elastic buckling analysis of uniaxially compressed CCCC stiffened isotropic plates
Autorzy:
Ibeabuchi, V. T.
Ibearugbulem, O. M.
Ezeah, C.
Ugwu, O. O.
Powiązania:
https://bibliotekanauki.pl/articles/1839782.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
wyboczenie
blacha
metoda pracy
buckling
governing equation
polynomial function
uniaxially stiffened plate
work principle method
Opis:
This paper reports a research study that investigated buckling of stiffened rectangular isotropic plates elastically restrained along all the edges (CCCC) under uniaxial in-plane load, using the work principle approach. The stiffeners were assumed to be rigidly connected to the plate. Analyses for critical buckling of stiffened plates were carried out by varying parameters, such as the number of stiffeners, stiffness properties and aspect ratios. The study involved a theoretical derivation of a peculiar shape function by applying the boundary conditions of the plate on Taylor Maclaurin’s displacement function and substituted on buckling equation derived to obtain buckling solutions. The present solutions were validated using a trigonometric function in the energy method from previous works. Coefficients, K, were compared for various numbers of stiffeners and the maximum percentage difference obtained within the range of aspect ratios of 1.0 to 2.0 is shown in Figs 2 - 7. A number of numerical examples were presented to demonstrate the accuracy and convergence of the current solutions.
Źródło:
International Journal of Applied Mechanics and Engineering; 2020, 25, 4; 84-95
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Two-stage instrumental variables identification of polynomial Wiener systems with invertible nonlinearities
Autorzy:
Janczak, Andrzej
Korbicz, Józef
Powiązania:
https://bibliotekanauki.pl/articles/330751.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
nonlinear system
parameter estimation
dynamic model
polynomial model
układ nieliniowy
estymacja parametru
model dynamiczny
model wielomianowy
Opis:
A new two-stage approach to the identification of polynomial Wiener systems is proposed. It is assumed that the linear dynamic system is described by a transfer function model, the memoryless nonlinear element is invertible and the inverse nonlinear function is a polynomial. Based on these assumptions and by introducing a new extended parametrization, the Wiener model is transformed into a linear-in-parameters form. In Stage I, parameters of the transformed Wiener model are estimated using the least squares (LS) and instrumental variables (IV) methods. Although the obtained parameter estimates are consistent, the number of parameters of the transformed Wiener model is much greater than that of the original one. Moreover, there is no unique relationship between parameters of the inverse nonlinear function and those of the transformed Wiener model. In Stage II, based on the assumption that the linear dynamic model is already known, parameters of the inverse nonlinear function are estimated uniquely using the IV method. In this way, not only is the parameter redundancy removed but also the parameter estimation accuracy is increased. A numerical example is included to demonstrate the practical effectiveness of the proposed approach.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 3; 571-580
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the realization theory of polynomial matrices and the algebraic structure of pure generalized state space systems
Autorzy:
Vardulakis, A. I. G.
Karampetakis, N. P.
Antoniou, E. N.
Tictopoulou, E.
Powiązania:
https://bibliotekanauki.pl/articles/907853.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
macierz wielomianowa
nierozkładalność
przestrzeń stanu
polynomial matrices
realization theory
minimality
irreducibility
generalized state space
infinite decoupling zeros
Opis:
We review the realization theory of polynomial (transfer function) matrices via 'pure' generalized state space system models. The concept of an irreducible-at-infinity generalized state space realization of a polynomial matrix is defined and the mechanism of the 'cancellations' of 'decoupling zeros at infinity' is closely examined. The difference between the concepts of irreducibility and minimality of generalized state space realizations of polynomial (transfer function) matrices is pointed out and the associated concepts of dynamic and non-dynamic variables appearing in generalized state space realizations are also examined.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 1; 77-88
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the computation of the GCD of 2-D polynomials
Autorzy:
Tzekis, P.
Karampetakis, N. P.
Terzidis, H. K.
Powiązania:
https://bibliotekanauki.pl/articles/929803.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
największy wspólny dzielnik
dyskretne przekształcenie Fouriera
wielomian dwuzmienny
greatest common divisor
discrete Fourier transform
two-variable polynomial
Opis:
The main contribution of this work is to provide an algorithm for the computation of the GCD of 2-D polynomials, based on DFT techniques. The whole theory is implemented via illustrative examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 463-470
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Edge waves over a shelf
Autorzy:
Dolai, P.
Dolai, D. P.
Powiązania:
https://bibliotekanauki.pl/articles/264611.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fala brzegowa
wielomian Gegenbauera
relacja dyspersji
shelf
edge wave
Havelock expansion
Galerkin approximation
Gegenbauer polynomial
dispersion relation
Opis:
The problem considered in this paper is the derivation of properties of edge waves travelling along a submerged horizontal shelf. The problem is formulated within the framework of the linearized theory of water waves and Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the dispersion relation for edge waves in terms of an integral. Appropriate multi-term Galerkin approximations involving ultra spherical Gegenbauer polynomials are utilized to obtain a very accurate numerical estimate for the integral and hence to derive the properties of edge waves over a shelf. The numerical results are illustrated in a table and curves are presented showing the variation of frequency of the edge waves with the width of the shelf.
Źródło:
International Journal of Applied Mechanics and Engineering; 2019, 24, 2; 453-460
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oblique water wave diffraction by a step
Autorzy:
Dolai, P.
Powiązania:
https://bibliotekanauki.pl/articles/264885.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
finite step
Havelock expansion
Galerkin approximation
Gegenbauer polynomial
reflection and transmission coefficients
aproksymacja Galerkina
wielomian Gegenbauera
odbicie
Opis:
This paper is concerned with the problem of diffraction of an obliquely incident surface water wave train on an obstacle in the form of a finite step. Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the physical parameters reflection and transmission coefficients in terms of integrals. Appropriate multi-term Galerkin approximations involving ultraspherical Gegenbauer polynomials are utilized to obtain a very accurate numerical estimate for reflection and transmission coefficients which are depicted graphically. From these figures various interesting results are discussed.
Źródło:
International Journal of Applied Mechanics and Engineering; 2017, 22, 1; 35-47
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Scattering of oblique water waves by an infinite step
Autorzy:
Dolai, P.
Dolai, D. P.
Powiązania:
https://bibliotekanauki.pl/articles/265749.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
aproksymacja Galerkina
wielomian Gegenbauera
współczynnik transmisji
infinite step
Havelock expansion
Galerkin approximation
Gegenbauer polynomial
reflection and transmission coefficients
Opis:
The present paper is concerned with the problem of scattering of obliquely incident surface water wave train passing over a step bottom between the regions of finite and infinite depth. Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the physical parameters reflection and transmission coefficients in terms of integrals. Appropriate multi-term Galerkin approximations involving ultra spherical Gegenbauer polynomials are utilized to obtain very accurate numerical estimates for reflection and transmission coefficients. The numerical results are illustrated in tables.
Źródło:
International Journal of Applied Mechanics and Engineering; 2018, 23, 2; 327-338
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 19

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