IEEE Transactions on Automatic Control, Vol.47, No.11, 1931-1937, 2002
An improved stabilization method for linear time-delay systems
In this note, we combine a new approach for linear time-delay systems based on a descriptor representation with a recent result on bounding of cross products of vectors. A delay-dependent criterion for determining the stability of systems with time-varying delays is obtained. This criterion is used to derive an efficient stabilizing state-feedback design method for systems with parameter uncertainty, of either the polytopic or the norm-bounded types.
Keywords:delay-dependent stability;linear matrix inequality (LMI);stabilization;time-delay systems;time-varying delay