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

Kaczorek, Tadeusz

Fract. Calc. Appl. Anal. 11, No. 3, 353-368 (2008).

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

Keywords:

fractional hybrid liner system; 2D system; positive system; computation; existence; realization; transfer matrix