Coprime factorizations and stability of fractional differential systems

摘要

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 Bezout factors in order to parametrize all stabilizing controllers of these systems. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 12]