Improved delay-range-dependent stability criteria for linear systems with interval time-varying delays

Abstract

This study provides new delay-range-dependent stability criteria in the forms of linear matrix inequalities (LMIs) for systems with interval time-varying delays. Two cases concerning whether the derivative of the time delay is known are studied. A new estimation method is developed to estimate the non-linear time-varying coefficients derived from Jenson’s integral inequality more tightly than the existing ones. Along with convex combination and delay partitioning method, less conservative stability criteria are provided by utilising the new estimation method. Numerical examples are given to illustrate the effectiveness of the proposed method.