Title :
Discrete-time LTI fuzzy systems: Stability and representation
Author :
Oliva, Gabriele ; Panzieri, Stefano ; Setola, Roberto
Author_Institution :
Dipartimento di Informatica e Automazione, University “Roma TRE”, Via della Vasca Navale, 79, 00146, Italy
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 systems.
Keywords :
IEEE Xplore; Portable document format;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6427013
