Inner-outer factorization of discrete-time transfer function matrices

Author

Lin, Zongli ; Chen, Ben M. ; Saberi, All ; Shamash, Yacov

Author_Institution

Dept. of Appl. Math. & Stat., State Univ. of New York, Stony Brook, NY, USA

Volume

43

Issue

11

fYear

1996

fDate

11/1/1996 12:00:00 AM

Firstpage

941

Lastpage

945

Abstract

The inner-outer factorization of the transfer function matrix of a linear time-invariant system has been an important algebraic problem in a variety of areas in electrical engineering, including systems and control analysis and design. This paper gives an explicit state space-based algorithm for the inner-outer factorization of the transfer function matrix of a general discrete-time linear system. More specifically, the algorithm applies to any discrete-time linear system whose transfer function is proper and stable

Keywords

control system analysis; discrete time systems; input-output stability; linear systems; state-space methods; transfer function matrices; control analysis; discrete-time transfer function matrices; inner-outer factorization; linear time-invariant system; stable transfer function; state space-based algorithm; Adders; Clocks; Counting circuits; Detectors; Electrical engineering; Frequency conversion; Linear systems; Pulse circuits; Pulse generation; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.542286

Filename

542286