GLOBAL ROBUST STABILITY CRITERIA FOR T-S FUZZY SYSTEMS WITH DISTRIBUTED DELAYS AND TIME DELAY IN THE LEAKAGE TERM

Abstract

The paper is concerned with robust stability criteria for Takagi- <br />Sugeno (T-S) fuzzy systems with distributed delays and time delay in the <br />leakage term. By exploiting a model transformation, the system is converted <br />to one of the neutral delay system. Global robust stability result is proposed <br />by a new Lyapunov-Krasovskii functional which takes into account the range <br />of delay and by making use of some inequality techniques. Based on the <br />interval time-varying delays, new stability criteria are obtained in terms of <br />linear matrix inequalities (LMIs). Finally, three numerical examples and their <br />simulations are given to show the effectiveness and advantages of our results.