Delay-dependent robust stability criteria for uncertain systems with multiple state delays

Abstract

This paper provides new stability criteria for a class of uncertain linear time-delay systems with time-varying delays. Based on Lyapunov-Krasovskii functionals combined with linear matrix inequality (LMI) techniques, improved delay-dependent robust stability criteria, which are given in terms of quadratic forms of state and LMI, are derived. Our results, shown by two examples, are less conservative than the existing stability criteria.