Guedes, Jarbas AntônioTeixeira, Marcelo Carvalho Minhoto [UNESP]Cardim, Rodrigo [UNESP]Assunção, Edvaldo [UNESP]2014-05-272014-05-272013-04-01Journal of Control, Automation and Electrical Systems, v. 24, n. 1-2, p. 46-53, 2013.2195-38802195-3899http://hdl.handle.net/11449/74909This paper presents a theorem based on the hyper-rectangle defined by the closed set of the time derivatives of the membership functions of Takagi-Sugeno fuzzy systems. This result is also based on Linear Matrix Inequalities and allows the reduction of the conservatism of the stability analysis in the sense of Lyapunov. The theorem generalizes previous results available in the literature. © 2013 Brazilian Society for Automatics - SBA.46-53engLinear Matrix Inequalities (LMIs)Lyapunov stabilityTakagi-Sugeno fuzzy modelsClosed setLinear matrix inequality (LMIs)Stability analysisStability of nonlinear systemsTakagi Sugeno fuzzy modelsTakagi Sugeno fuzzy systemsTime derivativeLinear matrix inequalitiesFeedback controlArtigo10.1007/s40313-013-0015-4Acesso restrito2-s2.0-848796587198755160580142626887996458277884050620873805714620000-0002-1072-3814