Stability and stabilization of T-S fuzzy systems with time-varying delays via augmented Lyapunov-Krasovskii functionals

Abstract

This paper is concerned with the problem of stability and stabilization for Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing a suitable Lyapunov-Krasovskii functional, sufficient conditions for ensuring the asymptotic stability and stabilization of the concerned fuzzy systems have been derived within the framework of linear matrix inequalities (LMIs). The advantage and effectiveness of the proposed criteria will be shown through the comparison of maximum delay bounds with some results obtained by recently published papers via four numerical examples.