A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays

The robust stability of uncertain linear neutral delay-differential systems with discrete and distributed delays is investigated. The uncertainties under consideration are norm-bounded, and possibly time-varying. The delays are assumed constant and known. The proposed stability criteria are formulated in the form of a linear matrix inequality and easy to use to check the stability of the considered systems. Numerical examples are given to indicate significant improvements over some existing results.