Robust stability of impulsive TakagiSugeno fuzzy systems with parametric uncertainties ?
This paper presents a kind of time-varying impulsive TakagiSugeno (TS) fuzzy model with parametric uncertainties in which each subsystem of the model is time-varying. Several robust stabilities of time-varying systems with parametric uncertainties, such as general robust stability, robustly asymptotical stability and exponential stability, are studied using uniformly positive definite matrix functions and the Lyapunov method. Specifically, robust stability conditions of time-invariant impulsive TS fuzzy systems are also derived in the formulation of quasi-linear matrix inequalities (QLMIs) and an iterative LMIs algorithm is designed for solving QLMIs. Finally, a unified chaotic system with continuous periodic switch and a unified time-invariant chaotic system are used for demonstrating the effectiveness of our respective results.
robust stability uncertainty time-varying time-invariant uncertain impulsive fuzzy systems linear matrix inequality