Irrational transfer function classes, coprime factorization and stabilization
نویسنده
چکیده
Abstract. Classes of irrational function classes, denoted by AS, that lie between the extreme cases of the disk algebra A and the Hardy space H∞(D), are considered. The corona theorem holds for AS, and the following properties are shown: AS is an integral domain, but not a Bézout domain, AS is a Hermite ring with stable rank 1, and the Banach algebra AS has topological stable rank 2. Consequences to the coprime factorization of transfer functions and stabilizing controller synthesis using a factorization approach are discussed.
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