Exponential estimates for neutral time-delay systems: an LMI approach

Exponential estimates and sufficient conditions for the exponential stability of linear neutral time delay systems are given. The estimates are obtained for the case of known parameters as well as the uncertain case, including uncertainties in the difference term. The proof is based on Lyapunov-Krasovskii functionals, and the conditions are expressed in terms of linear matrix inequalities (LMIs).