Mozelli, L. A.; Souza, Fernando O.; Palhares, R. M. A new discretized Lyapunov-Krasovskii functional for stability analysis and control design of time-delayed TS fuzzy systems. (English) Zbl 1207.93095 Int. J. Robust Nonlinear Control 21, No. 1, 93-105 (2011). Summary: This paper proposes a new Lyapunov-Krasovskii functional to cope with stability analysis and control design for time-delay nonlinear systems modeled in the Takagi-Sugeno (TS) fuzzy form. The delay-dependent conditions are formulated as Linear Matrix Inequalities (LMIs), solvable through several numerical tools. By using Gu’s discretization technique and by employing an appropriated fuzzy functional, less conservative conditions are obtained. Numerical results illustrate the efficiency of the proposed methods. Cited in 16 Documents MSC: 93D30 Lyapunov and storage functions 93B51 Design techniques (robust design, computer-aided design, etc.) 93C42 Fuzzy control/observation systems 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory Keywords:time-delay; Takagi-Sugeno fuzzy model; linear matrix inequality PDFBibTeX XMLCite \textit{L. A. Mozelli} et al., Int. J. 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