Properties of fractional-order linear systems: Stability and passivity

Guillermo Fernández-Anaya; José Álvarez-Ramírez; José Job Flores-Godoy

Properties of fractional-order linear systems: Stability and passivity

Guillermo Fernández-Anaya
, José Álvarez-Ramírez
, José Job Flores-Godoy

Universidad Iberoamericana
Universidad Autónoma Metropolitana Iztapalapa

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

2 Citas (Scopus)

Resumen

In this paper, based on new definitions of passivity, some facts on preservation of stability and stabilization are inferred for commensurable fractional-order linear dynamica] systems, using the substitution of the variable s by the function s^α with 0 < α < 1. The main results are on preservation of "quasi-passivity", "quasi-strictly passivity"', H_∞-norm and coprime factorizations.

Idioma original	Inglés
Páginas (desde-hasta)	459-464
Número de páginas	6
Publicación	WSEAS Transactions on Circuits and Systems
Volumen	6
N.º	5
Estado	Publicada - may. 2007
Publicado de forma externa	Sí

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https://www.scopus.com/pages/publications/38349165918

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title = "Properties of fractional-order linear systems: Stability and passivity",

abstract = "In this paper, based on new definitions of passivity, some facts on preservation of stability and stabilization are inferred for commensurable fractional-order linear dynamica] systems, using the substitution of the variable s by the function sα with 0 < α < 1. The main results are on preservation of {"}quasi-passivity{"}, {"}quasi-strictly passivity{"}', H∞-norm and coprime factorizations.",

keywords = "Fractional-order derivatives, Linear systems, Passivity, Stabilization",

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T2 - Stability and passivity

AU - Fernández-Anaya, Guillermo

AU - Álvarez-Ramírez, José

AU - Flores-Godoy, José Job

PY - 2007/5

Y1 - 2007/5

N2 - In this paper, based on new definitions of passivity, some facts on preservation of stability and stabilization are inferred for commensurable fractional-order linear dynamica] systems, using the substitution of the variable s by the function sα with 0 < α < 1. The main results are on preservation of "quasi-passivity", "quasi-strictly passivity"', H∞-norm and coprime factorizations.

AB - In this paper, based on new definitions of passivity, some facts on preservation of stability and stabilization are inferred for commensurable fractional-order linear dynamica] systems, using the substitution of the variable s by the function sα with 0 < α < 1. The main results are on preservation of "quasi-passivity", "quasi-strictly passivity"', H∞-norm and coprime factorizations.

KW - Fractional-order derivatives

KW - Linear systems

KW - Passivity

KW - Stabilization

UR - https://www.scopus.com/pages/publications/38349165918

M3 - Artículo

AN - SCOPUS:38349165918

SN - 1109-2734

VL - 6

SP - 459

EP - 464

JO - WSEAS Transactions on Circuits and Systems

JF - WSEAS Transactions on Circuits and Systems

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ER -

Properties of fractional-order linear systems: Stability and passivity

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