id: 05866119
dt: j
an: 05866119
au: Zhu, Xunlin; Wang, Youyi; Gan, Yong
ti: $H_{\infty }$ filtering for continuous-time singular systems with
    time-varying delay.
so: Int. J. Adapt. Control Signal Process. 25, No. 2, 137-154 (2011).
py: 2011
pu: John Wiley \& Sons, Chichester
la: EN
cc: 
ut: singular systems; time-varying delay; $H_{\infty }$ filter
ci: 
li: doi:10.1002/acs.1191
ab: Summary: This paper focuses on $H_{\infty }$ filter design for
    continuous-time singular systems with time-varying delay. A
    delay-dependent $H_{\infty }$ performance analysis result is first
    established for error systems via a novel estimation method. By
    combining a well-known inequality with a delay partition technique, the
    upper bound of the derivative of the Lyapunov functional is estimated
    more tightly and expressed as a convex combination with respect to the
    reciprocal of the delay rather than the delay. Based on the derived
    $H_{\infty }$ performance analysis results, a regular and impulse-free
    $H_{\infty }$ filter is designed in terms of linear matrix inequalities
    (LMIs). A numerical example is given to demonstrate the merits of the
    proposed method.
rv: