A note on Wirtinger-type integral inequalities for time-delay systems. (November 2015)

• Record Type: Journal Article
• Authors: Gyurkovics, Éva
• Is Part Of: Automatica. Volume 61(2015)
• Page Start: 44
• Page End: 46
• Publication Date: 2015-11
• Subjects: Time-delay systems -- Wirtinger's inequality -- Free-matrix-based integral inequality; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2015.07.033
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: 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.