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Coprime factorizations and stability of fractional differential systems. (English) Zbl 0985.93048

Summary: We give a frequency-domain approach to stabilization for a large class of systems with transfer functions involving fractional powers of \(s.\) A necessary and sufficient criterion for BIBO stability is given, and it is shown how to construct coprime factorizations and associated Bézout factors in order to parametrize all stabilizing controllers of these systems.

MSC:

93D15 Stabilization of systems by feedback
93C80 Frequency-response methods in control theory
93D25 Input-output approaches in control theory
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