Title :
Semi-cancellable fractions in system theory
Author_Institution :
Direction des Etudes et Recherches, Electr. de France, Clamart
fDate :
10/1/1994 12:00:00 AM
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 :
poles and zeros; stability; system theory; transfer functions; semi-cancellable fraction; stabilizability; system theory; transfer function; unstable pole-zero cancellations; Control systems; Controllability; Convergence; Differential equations; Output feedback; Poles and zeros; Polynomials; State-space methods; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
