A note on Wirtinger-type integral inequalities for time-delay systems

作者：Gyurkovics Eva^*

来源：Automatica, 2015, 61: 44-46.

DOI：10.1016/j.automatica.2015.07.033

• Time-delay systems
• Wirtinger's inequality
• Free-matrix-based integral inequality

Different integral inequalities play important role when problems of stability analysis and controller synthesis for time-delay systems are considered. The connection of Jensen's inequality and extended Jensen's inequality is well understood nom To reduce the conservativeness introduced by the application of Jensen's inequality, several versions of the Wirtinger integral inequality have been published recently. This note presents a comparison between some of these inequalities.

• 出版日期2015-11