On Improved Delay-dependent Stability Criteria for Neutral Time-delay Systems

This paper is concerned with the problem of the stability of the neutral time-delay system. On the basis of Lyapunov–Krasovskii functional approach, a new delay-dependent stability criterion is firstly obtained in terms of linear matrix inequality (LMI) using the freeweighting matrices method. Using the projection lemma, all the free-weighting matrices are eliminated and another new stability criterion with fewer decision variables is obtained. Following the method of discretization of the delay, much less conservative stability conditions are also derived. Finally, numerical examples illustrate that the proposed method is effective and leads to less conservative results than existing ones.