New results on pole-shifting for parametrized families of systems

M. L.J. Hautus; Eduardo D. Sontag

doi:10.1016/0022-4049(86)90043-5

New results on pole-shifting for parametrized families of systems

M. L.J. Hautus, Eduardo D. Sontag

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

31 Scopus citations

Abstract

New results are given on the pole-shifting problem for commutative rings, and these are then applied to conclude that rings of continuous, smooth, or real-analytic functions on a manifold X are PA rings if and only if X is one-dimensional.

Original language	English (US)
Pages (from-to)	229-244
Number of pages	16
Journal	Journal of Pure and Applied Algebra
Volume	40
Issue number	C
DOIs	https://doi.org/10.1016/0022-4049(86)90043-5
State	Published - 1986

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/0022-4049(86)90043-5

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title = "New results on pole-shifting for parametrized families of systems",

abstract = "New results are given on the pole-shifting problem for commutative rings, and these are then applied to conclude that rings of continuous, smooth, or real-analytic functions on a manifold X are PA rings if and only if X is one-dimensional.",

author = "Hautus, {M. L.J.} and Sontag, {Eduardo D.}",

note = "Funding Information: * Research supported in part by US Air Force Grant AFOSR-0196E. ** This work was completed while the author was a visitor at the Department of Mathematics, Rutgers, The State University of New Jersey.",

year = "1986",

doi = "10.1016/0022-4049(86)90043-5",

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journal = "Journal of Pure and Applied Algebra",

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T1 - New results on pole-shifting for parametrized families of systems

AU - Hautus, M. L.J.

AU - Sontag, Eduardo D.

N1 - Funding Information: * Research supported in part by US Air Force Grant AFOSR-0196E. ** This work was completed while the author was a visitor at the Department of Mathematics, Rutgers, The State University of New Jersey.

PY - 1986

Y1 - 1986

N2 - New results are given on the pole-shifting problem for commutative rings, and these are then applied to conclude that rings of continuous, smooth, or real-analytic functions on a manifold X are PA rings if and only if X is one-dimensional.

AB - New results are given on the pole-shifting problem for commutative rings, and these are then applied to conclude that rings of continuous, smooth, or real-analytic functions on a manifold X are PA rings if and only if X is one-dimensional.

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JO - Journal of Pure and Applied Algebra

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ER -

New results on pole-shifting for parametrized families of systems

Abstract

All Science Journal Classification (ASJC) codes

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