PROPERTIES OF SPR FUNCTIONS: PRODUCTS AND COMPOSITIONS

G. Fernandez-Anaya; J. J. Flores-Godoy; A. Rodrfguez-Palacios

PROPERTIES OF SPR FUNCTIONS: PRODUCTS AND COMPOSITIONS

G. Fernandez-Anaya
, J. J. Flores-Godoy
, A. Rodrfguez-Palacios

Universidad Iberoamericana
CENIDET-SEP

Producción científica: Contribución a una revista › Artículo de la conferencia › revisión exhaustiva

Resumen

In this work necessary and sufficient conditions for the product, of SPR functions to be a SPRO function are given. Also, sufficient conditions are given for the composition of SPR. functions to be a SPR function. As a consequence, a result on robust strictly positive real transfer functions, under nonlinearly correlated perturbations in the coefficients, induced by the composition and product with SPR functions is presented. Based on these facts, we give an application on preservation of robust and simultaneous stabilization of SISO, LTI systems. The applicability of the results is demonstrated through two examples.

Idioma original	Inglés
Páginas (desde-hasta)	55-60
Número de páginas	6
Publicación	IFAC-PapersOnLine
Volumen	37
N.º	21
Estado	Publicada - 2004
Publicado de forma externa	Sí
Evento	2nd IFAC Symposium on System Structure and Control 2004 - Oaxaca Duración: 8 dic. 2004 → 10 dic. 2004

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https://www.scopus.com/pages/publications/85177656209

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title = "PROPERTIES OF SPR FUNCTIONS: PRODUCTS AND COMPOSITIONS",

abstract = "In this work necessary and sufficient conditions for the product, of SPR functions to be a SPRO function are given. Also, sufficient conditions are given for the composition of SPR. functions to be a SPR function. As a consequence, a result on robust strictly positive real transfer functions, under nonlinearly correlated perturbations in the coefficients, induced by the composition and product with SPR functions is presented. Based on these facts, we give an application on preservation of robust and simultaneous stabilization of SISO, LTI systems. The applicability of the results is demonstrated through two examples.",

keywords = "Product and composition of SPR functions, robust SPR functions, robust stabilization, simultaneous stabilization",

author = "G. Fernandez-Anaya and Flores-Godoy, \{J. J.\} and A. Rodrfguez-Palacios",

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T2 - 2nd IFAC Symposium on System Structure and Control 2004

AU - Fernandez-Anaya, G.

AU - Flores-Godoy, J. J.

AU - Rodrfguez-Palacios, A.

PY - 2004

Y1 - 2004

N2 - In this work necessary and sufficient conditions for the product, of SPR functions to be a SPRO function are given. Also, sufficient conditions are given for the composition of SPR. functions to be a SPR function. As a consequence, a result on robust strictly positive real transfer functions, under nonlinearly correlated perturbations in the coefficients, induced by the composition and product with SPR functions is presented. Based on these facts, we give an application on preservation of robust and simultaneous stabilization of SISO, LTI systems. The applicability of the results is demonstrated through two examples.

AB - In this work necessary and sufficient conditions for the product, of SPR functions to be a SPRO function are given. Also, sufficient conditions are given for the composition of SPR. functions to be a SPR function. As a consequence, a result on robust strictly positive real transfer functions, under nonlinearly correlated perturbations in the coefficients, induced by the composition and product with SPR functions is presented. Based on these facts, we give an application on preservation of robust and simultaneous stabilization of SISO, LTI systems. The applicability of the results is demonstrated through two examples.

KW - Product and composition of SPR functions

KW - robust SPR functions

KW - robust stabilization

KW - simultaneous stabilization

UR - https://www.scopus.com/pages/publications/85177656209

M3 - Artículo de la conferencia

AN - SCOPUS:85177656209

SN - 2405-8963

VL - 37

SP - 55

EP - 60

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 21

Y2 - 8 December 2004 through 10 December 2004

ER -

PROPERTIES OF SPR FUNCTIONS: PRODUCTS AND COMPOSITIONS

Resumen

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