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Reachability of cone fractional continuous-time linear systems. (English) Zbl 1169.93004

Summary: A new class of cone fractional continuous-time linear systems is introduced. Necessary and sufficient conditions for a fractional linear system to be a cone fractional one are established. Sufficient conditions for the reachability of cone fractional systems are given. The discussion is illustrated with an example of linear cone fractional systems.

MSC:

93B03 Attainable sets, reachability
93C05 Linear systems in control theory
15B48 Positive matrices and their generalizations; cones of matrices

Software:

CRONE
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References:

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