Further improved stability criterion for Takagi-Sugeno fuzzy systems with time-varying delay

In this paper, the problem of delay-dependent stability criterion for Takagi-Sugeno systems with time-varying delay is investigated. Firstly, a novel augmented Lyapunov-Krasovskii functional is chosen. Then, a less conservative stability criterion is obtained via a newly developed free-matrix-based integral inequality. Finally, two numerical examples on time-delay stability analysis are given to demonstrate the effectiveness of the proposed results.