An Improved Hα Filter Design for Systems With Time-Varying Interval Delay

This brief is concerned with <formula formulatype="inline"><tex>$H_{\infty}$</tex> </formula> filter design for systems with time-varying interval delay (i.e., the time delay is varying in an interval). An appropriate type of Lyapunov functionals is proposed to investigate the delay-dependent <formula formulatype="inline"> <tex>$H_{\infty}$</tex></formula> filter design problem. Improved delay-dependent results are presented by taking into account the interval range. Finally, a numerical example is given to demonstrate the effectiveness and the benefits of the proposed method.