On the solvability of polynomial systems arising in control

Xiaochang Wang

doi:10.1016/j.laa.2007.01.016

On the solvability of polynomial systems arising in control

Xiaochang Wang

Mathematics and Statistics

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

Abstract

We consider a compactification of a general system of polynomial equations in weighted projective space, and give some sufficient conditions about the solvability of a polynomial system over C and R. We also prove that for generic linear subspaces, the inverse eigenvalue problem with perturbations in the linear subspace always has n! solutions.

Original language	English
Pages (from-to)	313-322
Number of pages	10
Journal	Linear Algebra and Its Applications
Volume	425
Issue number	2-3
DOIs	https://doi.org/10.1016/j.laa.2007.01.016
State	Published - Sep 1 2007

Keywords

Controllbility of discrete polynomial systems
Inverse eigenvalue problems
System of polynomial equations
Weighted projective space

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10.1016/j.laa.2007.01.016

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title = "On the solvability of polynomial systems arising in control",

abstract = "We consider a compactification of a general system of polynomial equations in weighted projective space, and give some sufficient conditions about the solvability of a polynomial system over C and R. We also prove that for generic linear subspaces, the inverse eigenvalue problem with perturbations in the linear subspace always has n! solutions.",

keywords = "Controllbility of discrete polynomial systems, Inverse eigenvalue problems, System of polynomial equations, Weighted projective space",

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AB - We consider a compactification of a general system of polynomial equations in weighted projective space, and give some sufficient conditions about the solvability of a polynomial system over C and R. We also prove that for generic linear subspaces, the inverse eigenvalue problem with perturbations in the linear subspace always has n! solutions.

KW - Controllbility of discrete polynomial systems

KW - Inverse eigenvalue problems

KW - System of polynomial equations

KW - Weighted projective space

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DO - 10.1016/j.laa.2007.01.016

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SP - 313

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

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ER -

On the solvability of polynomial systems arising in control

Abstract

Keywords

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