Improved Stability and Stabilization Criteria for Uncertain T–S Fuzzy Systems with Interval Time-Varying Delay via Discrete Wirtinger-Based Inequality

Abstract

This paper introduces a discrete Wirtinger-based inequality to investigate the problem of delay-dependent stability and stabilization of uncertain T–S fuzzy systems with interval time-varying delays. By constructing a novel Lyapunov functional and applying the discrete Wirtinger-based inequality to deal with the sum terms in the derivation of the results, two delay-dependent stability criteria and a stabilization criterion are obtained in terms of matrix inequalities. Numerical examples show that the derived stability and stabilization criteria can provide a larger allowable upper delay bound than some existing results while depending on relatively less scalar decision variables.