A two-variable approach to solve the polynomial Lyapunov equation

R Peeters; P Rapisarda

doi:10.1016/S0167-6911(00)00083-9

A two-variable approach to solve the polynomial Lyapunov equation

R Peeters, P Rapisarda^*

^*Corresponding author for this work

BioMathematics and BioInformatics

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

Abstract

A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov equation in an iterative fashion. The method is especially suitable for applications requiring exact or symbolic computation. (C) 2001 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	117-126
Number of pages	10
Journal	Systems & Control Letters
Volume	42
Issue number	2
DOIs	https://doi.org/10.1016/S0167-6911(00)00083-9
Publication status	Published - 15 Feb 2001

Keywords

two-variable polynomial matrices
polynomial Lyapunov equation
Faddeev's method
quadratic differential forms
symbolic computation

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10.1016/S0167-6911(00)00083-9

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title = "A two-variable approach to solve the polynomial Lyapunov equation",

abstract = "A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov equation in an iterative fashion. The method is especially suitable for applications requiring exact or symbolic computation. (C) 2001 Elsevier Science B.V. All rights reserved.",

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AB - A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov equation in an iterative fashion. The method is especially suitable for applications requiring exact or symbolic computation. (C) 2001 Elsevier Science B.V. All rights reserved.

KW - two-variable polynomial matrices

KW - polynomial Lyapunov equation

KW - Faddeev's method

KW - quadratic differential forms

KW - symbolic computation

U2 - 10.1016/S0167-6911(00)00083-9

DO - 10.1016/S0167-6911(00)00083-9

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SN - 0167-6911

VL - 42

SP - 117

EP - 126

JO - Systems & Control Letters

JF - Systems & Control Letters

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ER -

A two-variable approach to solve the polynomial Lyapunov equation

Abstract

Keywords

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