Auxiliary function-based integral/summation inequalities: Application to continuous/discrete time-delay systems

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• 作者：PooGyeon Park ; Won Il Lee ; Seok Young Lee
• 关键词：Integral inequality ; linear matrix inequality ; stability analysis ; summation inequality ; time ; delay systems
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：14
• 期：1
• 页码：3-11
• 全文大小：264 KB
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• 作者单位：PooGyeon Park (1)
  Won Il Lee (1)
  Seok Young Lee (1)
  
  1. Department of Electronic and Electrical Engineering, Pohang University of Science and Technology, Pohang, Gyeongbuk, Korea
  
• 刊物类别：Engineering
• 刊物主题：Control Engineering
  
• 出版者：The Institute of Control, Robotics and Systems Engineers and The Korean Institute of Electrical Engi
• ISSN：2005-4092

文摘

In the field of stability analysis for time-delay systems, finding precise bounds of integral/summation forms of quadratic functions plays a key role in reducing the conservatism. Consequently, there have been many attempts to develop inequalities yielding much tighter bounds. This paper develops novel inequalities using intermediate terms called auxiliary functions, which includes the existing inequalities as special cases. The stability conditions for continuous/discrete time-delay systems are derived in terms of linear matrix inequalities (LMIs) by using the proposed inequalities with simple numerical examples. Keywords Integral inequality linear matrix inequality stability analysis summation inequality time-delay systems