<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

Published Online: Mar 25, 2010

Page range: 85 - 92

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

Keywords
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

Published Online: Mar 25, 2010

Page range: 85 - 92

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

Keywordspositivity, stabilization, fractional systems, Roesser model, 2D systems

This content is open access.

Keywords
positivity, stabilization, fractional systems, Roesser model, 2D systems