Performance analysis for multi-delay systems in finite frequency domains

SUMMARY This paper considers the problem of performance analysis for continuous‐time multi‐delay systems in finite frequency domains. Unlike the existing results about the performance analysis for time‐delay systems in the entire frequency range, this study is focused on examining the performances of time‐delay systems in finite frequency ranges. Based on a further generalization of the strict S‐procedure, a delay‐dependent sufficient condition for systems to satisfy performances in finite frequency intervals is developed in the framework of linear matrix inequality approach. Finally, the effectiveness of the proposed method is illustrated via some numerical examples. Copyright © 2011 John Wiley & Sons, Ltd.