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

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

2 Scopus citations

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 s^α with 0 < α < 1. The main results are on preservation of "quasi-passivity", "quasi-strictly passivity"', H_∞-norm and coprime factorizations.

Original language	English
Pages (from-to)	459-464
Number of pages	6
Journal	WSEAS Transactions on Circuits and Systems
Volume	6
Issue number	5
State	Published - May 2007
Externally published	Yes

Keywords

Fractional-order derivatives
Linear systems
Passivity
Stabilization

Cite this

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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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AU - Fernández-Anaya, Guillermo

AU - Álvarez-Ramírez, José

AU - Flores-Godoy, José Job

PY - 2007/5

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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

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SP - 459

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JO - WSEAS Transactions on Circuits and Systems

JF - WSEAS Transactions on Circuits and Systems

IS - 5

ER -

Properties of fractional-order linear systems: Stability and passivity

Abstract

Keywords

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