Autor:

Kaczorek, Tadeusz (1932- )

Współtwórca:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Tytuł:

Similarity transformation of matrices to one common canonical form and its applications to 2D linear systems

Tytuł publikacji grupowej:

AMCS, Volume 20 (2010)

Temat i słowa kluczowe:

common canonical form ; similarity transformation ; 2D linear system ; state feedback

Abstract:

The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one, (ii) the reduced 2D system is positive if and only if the linear transformation matrix is monomial. Necessary and sufficient conditions are established for the existence of a gain matrix such that the matrices of the closed-loop system can be reduced to the common canonical form.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2010

Typ zasobu:

artykuł

DOI:

10.2478/v10006-010-0037-z

Strony:

507-512

Źródło:

AMCS, Volume 20, Number 3 (2010) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego