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

Creator:

Kaczorek, Tadeusz (1932- )

Date:

2010

Resource Type:

artykuł

Contributor:

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

Group publication title:

AMCS, Volume 20 (2010)

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Identifier:

oai:zbc.uz.zgora.pl:46869

DOI:

10.2478/v10006-010-0037-z

Pages:

507-512

Source:

AMCS, Volume 20, Number 3 (2010) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

common canonical form similarity transformation 2D linear system state feedback

Object collections:

Last modified:

Nov 5, 2024

In our library since:

Aug 14, 2018

Number of object content hits:

167

All available object's versions:

https://zbc.uz.zgora.pl/repozytorium/publication/54964

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Similarity transformation of matrices to one common canonical form and its applications to 2D linear systems Nov 5, 2024

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