New results on stability analysis for systems with discrete distributed delay

• Hong-Bing Zeng ^[1] ; Yong He ^[2] ; Min Wu ^[2] ; Jinhua She ^[2]
  1. [1] Hunan University of Technology

     Hunan University of Technology

     China

     
  2. [2] China University of Geosciences

     China University of Geosciences

     China

     
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 60, 2015, págs. 189-192
• Idioma: inglés
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• Resumen

  • 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.