A class of H∞ filter design for continue-time systems with time-varying delay

This paper proposes a class of H∞ filter design for continue-time systems with time-varying delay. By using the convexity property of the matrix inequality, new criteria are derived for the H∞ performance analysis of the filtering-error systems, which can lead to much less conservative analysis results and thus reduce the overdesign of the filter. Finally, a numerical example is given to demonstrate the effectiveness and the merit of the proposed method.