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Comments on fuzzy control systems design via fuzzy Lyapunov functions
Kevin Guelton1, Thierry-Marie Guerra, Miguel Bernal
1CReSTIC EA3804, UFR Sciences Exactes et Naturelles, Université de Reims Champagne-Ardenne, 51687 Reims Cedex 2, France. kevin.guelton@univ-reims.fr
Abstract:
This paper considers the work entitled "Fuzzy control systems design via fuzzy Lyapunov functions" and published in IEEE Transactions on Systems, Man, and Cybernetics-Part B , where the authors try to extend the work of Rhee and Won. Nevertheless, the results proposed by Li have been obtained without taking into account a necessary path independency condition to ensure the line integral function to be a Lyapunov function candidate, and consequently, the proposed global asymptotic stability and stabilization conditions are unsuitable.
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