Robust exponential stability of neutral systems with nondifferentiable interval time-varying delays and polytopic uncertainties

In this paper, the problem of exponential stability for a class of polytopic neutral systems with nondifferentiable interval time-varying delays is studied. By using an improved Lyapunov–Krasovskii parameter-dependent functional and linear matrix inequality (LMI) technique, new delay-dependent sufficient conditions for the exponential stability of the systems are first established in terms of linear matrix inequalities (LMIs) conditions which allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. Numerical examples are also given to show the effectiveness of the obtain results.