A new result on stability analysis for discrete system with interval time-varying delays

Abstract

This paper is concerned with the stability criteria for a discrete-time linear system with interval time-varying delays. By using the time delay division we construct an augmented Lyapunov-Krasovskii functional for two delay subintervals. Moreover, we use a new summation inequality to estimate the derivatives of LKFs more accurately and derive less conservative criteria. Finally, we present two numerical examples to demonstrate that the obtained results are less conservative.

Enhanced Stability Criteria for Discrete-time Systems with Time-varying Delay

“…where Ω i , i = 1, 2 are omitted which can be obtained easily in [35][36][37]41,42] and Lemma 1. The two terms…”

“…The effectiveness of the proposed stability criteria is demonstrated by considering standard numerical examples [33,[35][36][37] in this section.…”

“…Recently, we note that the robust stability problem of discrete-time systems with interval time-varying delays has become a great theoretical topic [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. Among these works, lots of LMI-based stability criteria have been presented via the LKF approach.…”