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Paper details
Number 1 - March 2016
Volume 26 - 2016
Positivity and stability of fractional descriptor time-varying discrete-time linear systems
Tadeusz Kaczorek
Abstract
The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor time-varying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and
sufficient conditions for the positivity of these systems are established.
Keywords
fractional system, descriptor system, time-varying system, positive system, discrete-time system