Improved stability criteria for linear systems with interval time-varying delays: Generalized zero equalities approach

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• 作者：Seok Young Lee^a ; ^{suk122@posetch.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Won Il Lee^b ; ^{wilee@posetch.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; PooGyeon Park ; ^b ; ^{ppg@posetch.ac.kr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Interval time-varying delays ; Stability analysis ; Wirtinger-based integral inequality ; Zero equality ; LMI
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：292
• 期：Complete
• 页码：336-348
• 全文大小：471 K

文摘

This paper suggests first-order and second-order generalized zero equalities and constructs a new flexible Lyapunov–Krasovskii functional with more state terms. Also, by applying various zero equalities, improved stability criteria of linear systems with interval time-varying delays are developed. Using Wirtinger-based integral inequality, Jensen inequality and a lower bound lemma, the time derivative of the Lyapunov–Krasovskii functional is bounded by the combinations of various state terms including not only integral terms but also their interval-normalized versions, which contributes to make the stability criteria less conservative. Numerical examples show the improved performance of the criteria in terms of maximum delay bounds.