G. Oliva, S. Panzieri and R. Setola, "Discrete-Time LTI Fuzzy Systems: Stability and Representation," 51th Conference on Decision and Control (CDC2012) Maui USA, 2012.
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.