Centre for Discrete and Applicable Mathematics
	CDAM Research Report, LSE-CDAM-2005-10 June 2005

Irrational transfer function classes, coprime factorization and stabilization

Amol J. Sasane

Classes of irrational function classes, denoted by A_s, that lie between the extreme cases of the disk algebra A and the Hardy space H(D), are considered. The corona theorem holds for A_s, and the following properties are shown: A_s is an integral domain, but not a Bézout domain, A_s is a Hermite ring with stable rank 1, and the Banach algebra A_s 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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Last modified: 3rd June 2005