New results on pole-shifting for parametrized families of systems

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

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

New results on pole-shifting for parametrized families of systems

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

Center for Analysis, Scientific Computing and Applications

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

31 Citations (Scopus)

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
Pages (from-to)	229-244
Number of pages	16
Journal	Journal of Pure and Applied Algebra
Volume	40
DOIs	https://doi.org/10.1016/0022-4049(86)90043-5
Publication status	Published - 1986

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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 = "M.L.J. Hautus and E.D. Sontag",

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

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AU - Sontag, E.D.

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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.

U2 - 10.1016/0022-4049(86)90043-5

DO - 10.1016/0022-4049(86)90043-5

M3 - Article

SN - 0022-4049

VL - 40

SP - 229

EP - 244

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

ER -

New results on pole-shifting for parametrized families of systems

Abstract

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