Performance analysis in finite frequency ranges for linear multi-delay systems

This paper studies the problem of performance analysis for linear 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 sufficient condition for performance analysis of multi-delay systems in a certain frequency range is developed in terms of solutions to a set of linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed method is illustrated via a numerical design example.