Delay-independent stability criterion for switched T-S fuzzy systems with multiple delays

Abstract

This paper studies the problem of asymptotic stability for discrete-time switched T-S fuzzy systems with multiple delays. A novel algebraic criterion is proposed for the delay-independent asymptotic stability of the system, based on semipositivity and M-matrix properties. The major benefit of this technique is that it avoids the problem of computations complexity over LMIs constraints. Two numerical examples are presented to evince the efficiency of the proposed technique.