Stability and Stabilization of TS Fuzzy Systems via Line Integral Lyapunov Fuzzy Function

This paper is concerned with the stability and stabilization problem of a Takagi-Sugeno fuzzy (TSF) system. Using non-quadratic function (well-known integral Lyapunov candidate (ILF)) some lemmas, new sufficient conditions are established as linear matrix inequalities (LMIs), which solved stochastic fractal search (SFS). The main advantage technique used its small conservatives. Motivated by mean value theorem, state feedback controller based on designed. Unlike other approaches poly-quadratic candidates, closed loop obtained in LMI regions. It important to highlight that time derivatives membership functions do not appear line function, well-known functions. A numerical example given show advantages utility candidate, provides wider feasibility region than