New results on stability analysis for systems with discrete distributed delay

• DOI: 10.1016/j.automatica.2015.07.017
• Publication Date: 2015-07-31T03:01:14Z
• Authors: Hong-Bing Zeng; Yong He; Min Wu; Jinhua She
• Keywords: Conservatism

The integral inequality technique is widely used to derive delay-dependent conditions, and various integral inequalities have been developed to reduce the conservatism of the conditions derived. In this study, a new integral inequality was devised that is tighter than existing ones. It was used to investigate the stability of linear systems with a discrete distributed delay, and a new stability condition was established. The results can be applied to systems with a delay belonging to an interval, which may be unstable when the delay is small or nonexistent. Three numerical examples demonstrate the effectiveness and the smaller conservatism of the method.