Journal
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE
Volume 20, Issue 1, Pages 85-92Publisher
UNIV ZIELONA GORA PRESS
DOI: 10.2478/v10006-010-0006-6
Keywords
positivity; stabilization; fractional systems; Roesser model; 2D systems
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Funding
- Ministry of Science and Higher Education in Poland [NN514 1939 33]
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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.
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