TSK fuzzy systems types II and III stability analysis: continuous case

Authors:
A. H. Sonbol;M. S. Fadali
Affiliations:
Electr. Eng. Dept., Univ. of Nevada, Reno, NV, USA;-
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Year:
2006

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Abstract

We propose a new approach for the stability analysis of continuous Sugeno Types II and III dynamic fuzzy systems. We introduce the concept of fuzzy positive definite and fuzzy negative definite systems and use them in arguments similar to those of traditional Lyapunov stability theory to derive new conditions for stability and asymptotic stability for continuous Type II/III dynamic fuzzy systems. To demonstrate the new approach, we apply it to numerical examples.