Semi-cancellable fractions in system theory

1 January 1994

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 39 (10) , 2148-2153
https://doi.org/10.1109/9.328809

Abstract

In this paper, we propose to define the transfer function of a system in a new way, namely as a semi-cancellable fraction (SCF), i.e. a fraction in which unstable pole-zero cancellations are not allowed. Within this new framework, it is possible to be rigorous and coherent in dealing with the stabilizability of a system from an input-output viewpoint, not focusing on the stabilizability of infinite dimensional input-output systems.

Keywords

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