Robust stability for a class of linear systems with time-varying delay and nonlinear perturbations

The robust stability of uncertain linear systems with a single time-varying delay is investigated by employing a descriptor model transformation and a decomposition technique of the delay term matrix. The uncertainties under consideration are nonlinear perturbations and norm-bounded uncertainties, respectively. The proposed stability criteria are formulated in the form of a linear matrix inequality. Numerical examples are presented to indicate significant improvements over some existing results.