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This paper discusses how to obtain local stability results from a fuzzy system for which global ones cannot be obtained, basically due to infeasibility of some associated LMI problems. Two different approaches are compared: modifying the consequent models vs. setting up some relaxed LMI conditions if bounds on the memberships are known. Some examples are used to illustrate the approaches.

DETERMINING ELLIPSOIDAL BASINS OF ATTRACTION OF FUZZY SYSTEMS