### Positivity and stability of fractional descriptor time-varying discrete-time linear systems

Tadeusz Kaczorek (2016)

International Journal of Applied Mathematics and Computer Science

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The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor timevarying 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.