<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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 <italic>Z</italic>-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.</p></abstract>

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.

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

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

International Journal of Applied Mathematics and Computer Science

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...

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

Publicado en línea: 25 mar 2010

Páginas: 85 - 92

DOI: https://doi.org/10.2478/v10006-010-0006-6

Palabras clave
positivity, stabilization, fractional systems, Roesser model, 2D systems

This content is open access.

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

Publicado en línea: 25 mar 2010

Páginas: 85 - 92

DOI: https://doi.org/10.2478/v10006-010-0006-6

Palabras clavepositivity, stabilization, fractional systems, Roesser model, 2D systems

This content is open access.

Palabras clave
positivity, stabilization, fractional systems, Roesser model, 2D systems