PROPERTIES OF SPR FUNCTIONS: PRODUCTS AND COMPOSITIONS

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

Research output: Contribution to journalConference articlepeer-review

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.

Original languageEnglish
Pages (from-to)55-60
Number of pages6
JournalIFAC-PapersOnLine
Volume37
Issue number21
StatePublished - 2004
Externally publishedYes
Event2nd IFAC Symposium on System Structure and Control 2004 - Oaxaca, Mexico
Duration: 8 Dec 200410 Dec 2004

Keywords

  • Product and composition of SPR functions
  • robust SPR functions
  • robust stabilization
  • simultaneous stabilization

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