In this paper linear discrete-time systems where both state variables and model coefficients are represented by fuzzy numbers are studied. Fuzzy numbers are not a closed group with respect to multiplication, hence the analysis had to be performed in the framework of Fuzzy Difference Inclusions. Some stability criteria are provided, as well as a characterization of the bounds of the set of solutions in the case of positive systems
Discrete-Time LTI Fuzzy Systems: Stability and Representation
Oliva G;Setola R
2012-01-01
Abstract
In this paper linear discrete-time systems where both state variables and model coefficients are represented by fuzzy numbers are studied. Fuzzy numbers are not a closed group with respect to multiplication, hence the analysis had to be performed in the framework of Fuzzy Difference Inclusions. Some stability criteria are provided, as well as a characterization of the bounds of the set of solutions in the case of positive systemsFile in questo prodotto:
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