2012
EMSS 2012 Proceeding
Stability of the convex linear combination of fractional positive discrete-time linear systems
Authors: Tadeusz Kaczorek
Abstract
The asymptotic stability of the convex linear combination of fractional positive discrete-time linear systems is addressed. Necessary and sufficient conditions for the asymptotic stability of the convex linear combination are established. The notion of diagonal dominant matrices for nonnegative real matrices is introduced. It is shown that the convex linear combination is asymptotically stable if its matrices are diagonal dominant.
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