On operators on positive real functions and related issues

Guillermo Fernández-Anaya, Baltazar Aguirre, Rodolfo Suárez, José Job Flores-Godoy

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

5 Citas (Scopus)

Resumen

In this paper, we proved that the sets of strict positive real functions with zero relative degree (SPR0) and positive real (PR) single-input--single-output functions are closed under linear operators preserving stability and for rational functions by differentiation of the numerator and denominator. Also, we show that any PR system can be approximated by an SPR0 system. These results are extended to strict bounded real and bounded real functions when the numerator and denominator polynomials are transformed by a class of linear operators. Additionally, for functions in RH∞, the H∞-norm is preserved under linear operators applied on numerator and denominator polynomials. Three possible applications are given.

Idioma originalInglés
Páginas (desde-hasta)1203-1207
Número de páginas5
PublicaciónIEEE Transactions on Circuits and Systems II: Express Briefs
Volumen55
N.º11
DOI
EstadoPublicada - 2008
Publicado de forma externa

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