title: Comments on fuzzy control systems design via fuzzy Lyapunov functions.
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.
authors.affiliation: CReSTIC EA3804, UFR Sciences Exactes et Naturelles, Université de Reims Champagne-Ardenne, 51687 Reims Cedex 2, France. kevin.guelton@univ-reims.fr
authors.forename: Kevin
authors.initials: K
authors.lastname: Guelton
authors.forename: Thierry-Marie
authors.initials: TM
authors.lastname: Guerra
authors.forename: Miguel
authors.initials: M
authors.lastname: Bernal
authors.forename: Tahar
authors.initials: T
authors.lastname: Bouarar
authors.forename: Noureddine
authors.initials: N
authors.lastname: Manamanni
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D003198:Computer Simulation; D005246:Feedback; D017143:Fuzzy Logic; D008962:Models, Theoretical