Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: irreducibility

Sortuj według:

Ogranicz wyniki do:

On the realization theory of polynomial matrices and the algebraic structure of pure generalized state space systems

100%

Vardulakis A.-I., Karampetakis N., Antoniou E., Tictopoulou E.

International Journal of Applied Mathematics and Computer Science

2009

tom 19

nr 1

77-88

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.

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

On transitive orientations of G-ê

100%

Andresen M.

Discussiones Mathematicae Graph Theory

2009

tom 29

nr 3

423-467

A comparability graph is a graph whose edges can be oriented transitively. Given a comparability graph G = (V,E) and an arbitrary edge ê∈ E we explore the question whether the graph G-ê, obtained by removing the undirected edge ê, is a comparability graph as well. We define a new substructure of implication classes and present a complete mathematical characterization of all those edges.

Ograniczanie wyników

1 Discussiones Mathematicae Graph Theory

1 International Journal of Applied Mathematics and Computer Science

1 Andresen M.

1 Antoniou E.

1 Karampetakis N.

1 Tictopoulou E.

1 Vardulakis A.-I.

2 2009

Wyniki wyszukiwania

On the realization theory of polynomial matrices and the algebraic structure of pure generalized state space systems

On transitive orientations of G-ê