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

• Éva Gyurkovics ^[1]
  1. [1] Budapest University of Technology and Economics

     Budapest University of Technology and Economics

     Hungría

     
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 61, 2015, págs. 44-46
• Idioma: inglés
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• Resumen

  • 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 now. 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.