Robust stability analysis for Lur’e systems with interval time-varying delays via Wirtinger-based inequality

Advances in Difference Equations

Eunjong Cha¹  Juhyun Park²  Ohmin Kwon³  Myeongjin Park³  Sangmoon Lee⁴ 

[1] Department of Biomedical Engineering, School of Medicine, Chungbuk National University, Cheongju, Republic of Korea;Department of Electrical Engineering, Yeungnam University, Kyongsan, Republic of Korea;School of Electrical Engineering, Chungbuk National University, Heungduk-gu, Cheongju, Republic of Korea;School of Electronic Engineering, Daegu University, Gyungsan, Republic of Korea

关键词: Network Control System;    Nominal Form;    Sufficient Stability Condition;    Maximum Allowable Delay;    Positive Definite Diagonal Matrice;   

DOI  :  10.1186/1687-1847-2014-143

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper considers the problem of robust stability for Lur’e systems with interval time-varying delays and parameter uncertainties. It is assumed that the parameter uncertainties are norm bounded. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative sufficient stability conditions of the concerned systems are introduced within the framework of linear matrix inequalities (LMIs). Three numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.

【 授权许可】

CC BY