On the stability and stabilization of linear neutral time-delay systems

In this paper, the problem of the stability and stabilization analysis for linear neutral time-delay systems is investigated. The time-delays considered here are assumed bounded but no information to be available. Using Lyapunov functional method, both delay-dependent and delay-independent conditions for the stability and stabilization of the systems are presented in terms of linear matrix inequality (LMI). Examples are given to illustrate the main result of this paper and compare with the results presented in literatures.