Delay-dependent exponential stabilization of nonlinear fuzzy impulsive systems with time-varying delay

This paper investigates the problem of exponential stabilization for a class of nonlinear fuzzy impulsive systems with time-varying delay. Firstly, the systems are expressed by the extended Takagi–Sugeno (T–S) fuzzy model. Secondly, the combination of Lyapunov–Krasovskii type functionals and the parallel distributed compensation (PDC) idea is employed to design a state feedback controller such that the closed-loop systems are globally exponentially stable. The corresponding sufficient delay-dependent conditions are derived in terms of linear matrix inequalities (LMIs). Finally, two examples are presented to demonstrate the effectiveness of the theoretical contribution.