Improved delay-dependent stability criteria for 2-D discrete state delayed systems

Abstract

In this paper, we consider the problem of delay-dependent stability of two-dimensional (2-D) discrete state delay systems described by the second Fornasini and Marchesini (FM) state-space model. Different from the existing results in the literature, this paper makes the use of the Auxiliary Function-based Summation Inequality, which covers Jensen inequality as a special case. Based on a Lyapunov-Krasovskii functional, a new delay-dependent stability criterion is proposed in terms of linear matrix inequality (LMI). Two numerical examples are given to demonstrate the effectiveness and benefits of the result obtained in this study.