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

• Autorzy: Tadeusz Kaczorek , Krzysztof Rogowski
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2010
• Tom: 20
• Numer: 1
• Strony: 85-92

Daty

wydano

2010

otrzymano

2009-03-19

poprawiono

2009-09-11

Twórcy

autor

Tadeusz Kaczorek

• Faculty of Electical Engineering, Białystok Technical University, Wiejska 45D, 15-351 Białystok, Poland

autor

Krzysztof Rogowski

• Faculty of Electical Engineering, Białystok Technical University, Wiejska 45D, 15-351 Białystok, Poland

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Identyfikatory

DOI

10.2478/v10006-010-0006-6