On delay-dependent stability of neutral time-delay systems

This paper is concerned with the problem of stability of neutral time-delay systems. On the basis of Lyapunov-Krasovskii approach, a new delay-dependent stability condition is firstly obtained in terms of linear matrix inequality (LMI) using the free-weighting matrices method. Following the method of discretization of the delay, much less conservative stability conditions are secondly derived. In addition, the obtained results are further extended to neutral time-delay systems with either norm-bounded uncertainties or polytopic uncertainties. Finally, numerical examples illustrate that the proposed conditions are effective and less conservative than the existing results.