Stability analysis of systems with time-varying delays via the second-order Bessel-Legendre inequality

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• 作者：Kun Liu^a ; ^{kunliubit@bit.edu.cn} ; Alexandre Seuret^b ; ^{aseuret@laas.fr} ; Yuanqing Xia^a ; ^{xia_yuanqing@bit.edu.cn}
• 关键词：Time-varying delays ; Integral inequality ; Lyapunov method
• 刊名：Automatica
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：76
• 期：Complete
• 页码：138-142
• 全文大小：436 K
• 卷排序：76

文摘

This paper is concerned with the delay-dependent stability of systems with time-varying delays. The novelty relies on the use of the second-order Bessel–Legendre integral inequality which is less conservative than the Jensen and Wirtinger-based inequalities. Unlike similar contributions, the features of this inequality are fully integrated into the construction of augmented Lyapunov–Krasovskii functionals leading to novel stability criteria expressed in terms of linear matrix inequalities. The stability condition is tested on some classical numerical examples illustrating the efficiency of the proposed method.