Parameterization of positively stabilizing feedbacks for single-input positive systems

Jonathan N. Dehaye; Joseph J. Winkin

doi:10.1016/j.sysconle.2016.10.010

Parameterization of positively stabilizing feedbacks for single-input positive systems

Jonathan N. Dehaye, Joseph J. Winkin

Namur Institute for Complex Systems

Résultats de recherche: Contribution à un journal/une revue › Article › Revue par des pairs

Résumé

This paper provides parameterizations of all positively stabilizing feedbacks for a particular class of finite-dimensional single-input positive systems, a method to yield these parameterizations by means of tools of linear programming and a convergence analysis which allows to extend the results to a particular infinite-dimensional system described by a parabolic partial differential equation. It also provides an academic standard example – the pure diffusion equation – to support the theoretical results.

langue originale	Anglais
Pages (de - à)	57-64
Nombre de pages	8
journal	Systems and Control Letters
Volume	98
Les DOIs	https://doi.org/10.1016/j.sysconle.2016.10.010
Etat de la publication	Publié - 1 déc. 2016

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10.1016/j.sysconle.2016.10.010

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title = "Parameterization of positively stabilizing feedbacks for single-input positive systems",

abstract = "This paper provides parameterizations of all positively stabilizing feedbacks for a particular class of finite-dimensional single-input positive systems, a method to yield these parameterizations by means of tools of linear programming and a convergence analysis which allows to extend the results to a particular infinite-dimensional system described by a parabolic partial differential equation. It also provides an academic standard example – the pure diffusion equation – to support the theoretical results.",

keywords = "Convergence analysis, Diffusion equation, Feedback parameterization, Finite differences, Partial differential equations, Positive stabilization, Positive systems",

author = "Dehaye, {Jonathan N.} and Winkin, {Joseph J.}",

year = "2016",

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AU - Winkin, Joseph J.

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N2 - This paper provides parameterizations of all positively stabilizing feedbacks for a particular class of finite-dimensional single-input positive systems, a method to yield these parameterizations by means of tools of linear programming and a convergence analysis which allows to extend the results to a particular infinite-dimensional system described by a parabolic partial differential equation. It also provides an academic standard example – the pure diffusion equation – to support the theoretical results.

AB - This paper provides parameterizations of all positively stabilizing feedbacks for a particular class of finite-dimensional single-input positive systems, a method to yield these parameterizations by means of tools of linear programming and a convergence analysis which allows to extend the results to a particular infinite-dimensional system described by a parabolic partial differential equation. It also provides an academic standard example – the pure diffusion equation – to support the theoretical results.

KW - Convergence analysis

KW - Diffusion equation

KW - Feedback parameterization

KW - Finite differences

KW - Partial differential equations

KW - Positive stabilization

KW - Positive systems

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AN - SCOPUS:84997447768

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VL - 98

SP - 57

EP - 64

JO - Systems and Control Letters

JF - Systems and Control Letters

ER -

Parameterization of positively stabilizing feedbacks for single-input positive systems

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