Positivity and stability of fractional descriptor time–varying discrete–time linear systems

Kaczorek, Tadeusz

doi:10.1515/amcs-2016-0001

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.

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Positivity and stability of fractional descriptor time–varying discrete–time linear systems

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