Creator:

Kaczorek, Tadeusz (1932- ) ; Rogowski, Krzysztof

Contributor:

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

Title:

Positivity and stabilization of fractional 2D linear systems described by the roesser model

Group publication title:

AMCS, Volume 20 (2010)

Subject and Keywords:

positivity ; stabilization ; fractional systems ; Roesser model ; 2D systems

Abstract:

A new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied toeach dimension of a 2D Roesser model. Solutions of these systems are derived using a 2D Z-transform. The classicalCayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficientconditions for the positivity and stabilization by the state-feedback of fractional 2D linear systems are established. Aprocedure for the computation of a gain matrix is proposed and illustrated by a numerical example.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2010

Resource Type:

artykuł

DOI:

10.2478/v10006-010-0006-6

Pages:

85-92

Source:

AMCS, Volume 20, Number 1 (2010) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego