Inner-outer factorization of discrete-time transfer function matrices

Zongli Lin; Ben M. Chen; Ali Saheri; Yacov Shamash

doi:10.1109/81.542286

Inner-outer factorization of discrete-time transfer function matrices

Zongli Lin
, Ben M. Chen
, Ali Saheri
, Yacov Shamash

Electrical Engineering

Stony Brook University
National University of Singapore
Washington State University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	941-945
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems I: Regular Papers
Volume	43
Issue number	11
DOIs	https://doi.org/10.1109/81.542286
State	Published - 1996

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title = "Inner-outer factorization of discrete-time transfer function matrices",

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.",

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AU - Lin, Zongli

AU - Chen, Ben M.

AU - Saheri, Ali

AU - Shamash, Yacov

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Y1 - 1996

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0030287384

U2 - 10.1109/81.542286

DO - 10.1109/81.542286

M3 - Article

AN - SCOPUS:0030287384

SN - 1057-7122

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JO - IEEE Transactions on Circuits and Systems I: Regular Papers

JF - IEEE Transactions on Circuits and Systems I: Regular Papers

IS - 11

ER -

Inner-outer factorization of discrete-time transfer function matrices

Abstract

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