On the assumption that all the isolated subsystems of the interconnected system are exponentially stable, the
exponential stability analysis and control for a class of look-ahead vehicle longitudinal following system with impulsive
effects and time-varying delays are studied. Firstly, some sufficient conditions for exponential stability of the system are
obtained by applying vector Lyapunov function method and mathematical induction method. Then, the controller for the
look-ahead vehicle following system with impulsive effects and time-varying delays is designed by sliding mode control
method based on the obtained results. Finally, a simulation example illustrates how to apply the obtained results in practice.