New results on stability analysis for systems with discrete distributed delay

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 i...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 60; pp. 189 - 192
Main Authors Zeng, Hong-Bing, He, Yong, Wu, Min, She, Jinhua
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2015
Subjects
Integral inequality
Lyapunov–Krasovskii functional
Stability
Systems with time delay
Systems with time delay
Integral inequality
Stability
Lyapunov–Krasovskii functional
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ISSN0005-1098
1873-2836
DOI10.1016/j.automatica.2015.07.017

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Summary: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.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2015.07.017