id: 05610281
dt: j
an: 05610281
au: Li, Tao; Guo, Lei; Xin, Xin
ti: Improved delay-dependent bounded real lemma for uncertain time-delay
    systems.
so: Inf. Sci. 179, No. 20, 3711-3719 (2009).
py: 2009
pu: Elsevier Science Inc. (North-Holland), New York, NY
la: EN
cc: 
ut: time-delay systems; delay-dependent; robustness; linear fractional form;
    bounded real Lemma; linear matrix inequality (LMI)
ci: Zbl 1099.93010
li: doi:10.1016/j.ins.2009.06.015
ab: Summary: This paper concerns reducing the conservatism of delay-dependent
    Bounded Real Lemma (BRL) of time-delay systems with uncertainty
    described by a linear fractional form. By introducing an augmented
    Lyapunov functional, an improved BRL is established in terms of Linear
    Matrix Inequalities (LMIs). Theoretical comparisons show that the
    obtained BRL is less conservative than some previous ones and the
    recent results in [{\it S. Xu, J. Lam} and {\it Y. Zou}, Automatica 42,
    No.~2, 343‒348 (2006; Zbl 1099.93010); {\it T. Li, L. Guo, C. Lin}
    and {\it Y. M. Zhang}, Delay-range-dependent bounded real lemma for
    time-delay systems, Asian J. Control 10, 708‒717 (2008)] are actually
    equivalent to the special cases of the obtained BRL. Numerical examples
    are also given to demonstrate the effectiveness of the proposed result.
rv: