A new double integral inequality and application to stability test for time-delay systems

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• 作者：Nan Zhao^a ; ^{zhaonan2726@126.com} ; Chong Lin^a ; ^{linchong_2004@hotmail.com} ; Bing Chen^a ; ^{chenbing1958@126.com} ; Qing-Guo Wang^b ; ^{wangq@uj.ac.za}
• 关键词：Time-delay system ; Integral inequality ; Stability analysis ; Lyapunov&ndash ; Krasovskii functional
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：65
• 期：Complete
• 页码：26-31
• 全文大小：703 K
• 卷排序：65

文摘

This paper is concerned with stability analysis for linear systems with time delays. Firstly, a new double integral inequality is proposed. Then, it is used to derive a new delay-dependent stability criterion in terms of linear matrix inequalities (LMIs). Two numerical examples are given to demonstrate the effectiveness and merits of the present result.