On the Relation Between Stable Matrix Fraction Factorizations and Regulable Realizations of Linear Systems Over Rings

Pramod P. Khargonekar; Eduardo D. Sontag

doi:10.1109/TAC.1982.1102958

On the Relation Between Stable Matrix Fraction Factorizations and Regulable Realizations of Linear Systems Over Rings

Pramod P. Khargonekar, Eduardo D. Sontag

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

71 Scopus citations

Abstract

- Various types of transfer matrix factorizations are of interest when designing regulators for generalized types of linear systems (delay differential, 2-D, and families of systems). This paper studies the existence of stable and of stable proper factorizations, in the context of the theory of systems over rings. Factorability is related to stabilizability and detectability properties of realizations of the transfer matrix.

Original language	English (US)
Pages (from-to)	627-638
Number of pages	12
Journal	IEEE Transactions on Automatic Control
Volume	27
Issue number	3
DOIs	https://doi.org/10.1109/TAC.1982.1102958
State	Published - Jun 1982

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.1982.1102958

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abstract = "- Various types of transfer matrix factorizations are of interest when designing regulators for generalized types of linear systems (delay differential, 2-D, and families of systems). This paper studies the existence of stable and of stable proper factorizations, in the context of the theory of systems over rings. Factorability is related to stabilizability and detectability properties of realizations of the transfer matrix.",

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AU - Sontag, Eduardo D.

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N2 - - Various types of transfer matrix factorizations are of interest when designing regulators for generalized types of linear systems (delay differential, 2-D, and families of systems). This paper studies the existence of stable and of stable proper factorizations, in the context of the theory of systems over rings. Factorability is related to stabilizability and detectability properties of realizations of the transfer matrix.

AB - - Various types of transfer matrix factorizations are of interest when designing regulators for generalized types of linear systems (delay differential, 2-D, and families of systems). This paper studies the existence of stable and of stable proper factorizations, in the context of the theory of systems over rings. Factorability is related to stabilizability and detectability properties of realizations of the transfer matrix.

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On the Relation Between Stable Matrix Fraction Factorizations and Regulable Realizations of Linear Systems Over Rings

Abstract

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