Finite-time stabilizabled controller design for a class of neutral time-delayed systems via state feedback

The finite-time stabilization problem for a class of neutral time-delay systems is considered. For the energy-bounded disturbance input, the designed state feedback controller can makes the concerned neutral systems finite-time stabilization. By using the constructed Lyapunov functional and linear matrix inequalities techniques, the sufficient condition for the finite-time stabilization is derived. Finally, two numerical examples are given to illustrate the validity of the developed approaches.