On the Use of the Wirtinger Inequalities for Time-Delay Systems

  title={On the Use of the Wirtinger Inequalities for Time-Delay Systems},
  author={Alexandre Seuret and Fr{\'e}d{\'e}ric Gouaisbaut},
The paper addresses the stability problem of linear time delay system. In the literature, the most popular approach to tackle this problem relies on the use of LyapunovKrasovskii functionals. Many results have proposed new functionals and techniques for deriving less and less conservative stability conditions. Nevertheless, all these approaches use the same trick, the well-known Jensen’s inequality which generally induces some conservatism difficult to overcome. In light of those observations… CONTINUE READING
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