Investigation of robust stability for discrete-time polynomials with nonlinear uncertainty structure

The main objective of this contribution is to present the application of a graphical approach to robust stability analysis of discrete-time uncertain polynomials with special emphasis to polynomials with a complicated nonlinear uncertainty structure. The generalization of the value set concept and t...

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Published inAnnals of DAAAM & proceedings p. 142
Main Author Matusu, Radek
Format Journal Article
LanguageEnglish
Published DAAAM International Vienna 2016
Subjects
Analysis
Complex systems
Mathematical research
Polynomials
United States
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Abstract The main objective of this contribution is to present the application of a graphical approach to robust stability analysis of discrete-time uncertain polynomials with special emphasis to polynomials with a complicated nonlinear uncertainty structure. The generalization of the value set concept and the zero exclusion condition under robust D-stability framework is used for this purpose. The relative simplicity of the applied technique is shown by means of the illustrative examples. Keywords: Robust stability; discrete-time polynomial; parametric uncertainty; nonlinear uncertainty structure; value set; zero exclusion condition.
AbstractList The main objective of this contribution is to present the application of a graphical approach to robust stability analysis of discrete-time uncertain polynomials with special emphasis to polynomials with a complicated nonlinear uncertainty structure. The generalization of the value set concept and the zero exclusion condition under robust D-stability framework is used for this purpose. The relative simplicity of the applied technique is shown by means of the illustrative examples. Keywords: Robust stability; discrete-time polynomial; parametric uncertainty; nonlinear uncertainty structure; value set; zero exclusion condition.
Audience Academic
Author Matusu, Radek
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Copyright COPYRIGHT 2016 DAAAM International Vienna
COPYRIGHT 2017 DAAAM International Vienna
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DOI 10.2507/27th.daaam.proceedings.021
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SubjectTerms Analysis
Complex systems
Mathematical research
Polynomials
Title Investigation of robust stability for discrete-time polynomials with nonlinear uncertainty structure
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