Autor: Boudellioua, M. S. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Further results on the equivalence to Smith form of multivariate polynomial matrices
Autorzy:: Boudellioua, M. S.
Powiązania:: https://bibliotekanauki.pl/articles/205802.pdf
Data publikacji:: 2013
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: linear functional systems
multivariate polynomial matrices
unimodular equivalence
smith form
Gröbner bases
Opis:: Multivariate polynomial matrices arise from the treatment of linear systems of partial differential equations, delay-differential equations or multidimensional discrete equations. In this paper we generalize some of the results obtained for the equivalence to the Smith normal form for a class of multivariate polynomial matrices.
Źródło:: Control and Cybernetics; 2013, 42, 2; 543-551
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: An equivalent matrix pencil for bivariate polynomial matrices
Autorzy:: Boudellioua, M. S.
Powiązania:: https://bibliotekanauki.pl/articles/908429.pdf
Data publikacji:: 2006
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: macierz
układ singularny
teoria niezmienniczości
zera niezmienne
matrix pencils
2-D singular systems
zero-coprime-equivalence
invariant polynomials
invariant zeros
Opis:: In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini’s type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2006, 16, 2; 175-181
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Computation of a canonical form for neutral delay-diﬀerential systems
Autorzy:: Boudellioua, M. S.
Powiązania:: https://bibliotekanauki.pl/articles/206607.pdf
Data publikacji:: 2015
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: delay-diﬀerential systems
polynomial matrices
Smith form
unimodular equivalence
Opis:: In this paper, symbolic computation techniques are used to obtain a canonical form for polynomial matrices arising from linear delay-diﬀerential systems of the neutral type. The canonical form can be regarded as an extension of the companion form, often encountered in the theory of linear systems, described by ordinary diﬀerential equations. Using the Smith normal form, the exact connection between the original polynomial matrix and the reduced canonical form is set out. An example is given to illustrate the computational aspects involved.
Źródło:: Control and Cybernetics; 2015, 44, 3; 357-368
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Equivalence and reduction of delay-differential systems
Autorzy:: Boudellioua, M. S.
Powiązania:: https://bibliotekanauki.pl/articles/911236.pdf
Data publikacji:: 2007
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: opis macierzowy
układ z opóźnieniem
równoważność systemu
bazy Gröbnera
polynomial matrix description
neutral delay-differential systems
strict system equivalence
determinantal ideals
Gröbner bases
Opis:: A new direct method is presented which reduces a given high-order representation of a control system with delays to a firstorder form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann’s strict system equivalence. This type of system equivalence leaves the transfer function and other relevant structural properties of the original system invariant.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 15-22
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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