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Realization problem for positive fractional hybrid 2D linear systems. (English) Zbl 1154.93017

Summary: The realization problem for positive fractional hybrid 2D linear systems is addressed. A method for computation of positive fractional realizations of a given proper 2D transfer matrix is proposed. Sufficient conditions for the existence of positive fractional realizations of a proper 2D transfer matrix are established. A procedure for computation of positive fractional realizations is proposed and illustrated by a numerical example.

MSC:

93B15 Realizations from input-output data
93B40 Computational methods in systems theory (MSC2010)
93C05 Linear systems in control theory
26A33 Fractional derivatives and integrals
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