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Minimality in asymmetry classes

100%

Wiernowolski M.

Studia Mathematica

1997

tom 124

nr 2

149-154

We examine minimality in asymmetry classes of convex compact sets with respect to inclusion. We prove that each class has a minimal element. Moreover, we show there is a connection between asymmetry classes and the Rådström-Hörmander lattice. This is used to present an alternative solution to the problem of minimality posed by G. Ewald and G. C. Shephard in [4].

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

75%

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.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Studia Mathematica

1 Antoniou E.

1 Karampetakis N.

1 Tictopoulou E.

1 Vardulakis A.-I.

1 Wiernowolski M.

1 2009

1 1997

Wyniki wyszukiwania

Minimality in asymmetry classes

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