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Controllability and reconstructability of a system described by the N-D Roesser model

100%
Kurek J. E.
International Journal of Applied Mathematics and Computer Science
|
2003
|
tom 13
|
nr 1
55-60
EN
The controllability and reconstructability (global) of the system described by a digital N-D Roesser model are defined. Then, necessary and sufficient conditions for system controllability and reconstructability are given. The conditions constitute a generalization of the corresponding conditions for 1-D systems.
2
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Positivity and stabilization of fractional 2D linear systems described by the Roesser model

88%
Kaczorek T., Rogowski K.
International Journal of Applied Mathematics and Computer Science
|
2010
|
tom 20
|
nr 1
85-92
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.
3
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Analysis of the descriptor Roesser model with the use of the Drazin inverse

88%
Kaczorek T.
International Journal of Applied Mathematics and Computer Science
|
2015
|
tom 25
|
nr 3
539-546
EN
A method of analysis for a class of descriptor 2D discrete-time linear systems described by the Roesser model with a regular pencil is proposed. The method is based on the transformation of the model to a special form with the use of elementary row and column operations and on the application of a Drazin inverse of matrices to handle the model. The method is illustrated with a numerical example.
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