Sampled-data Control for a Class of Linear Hyperbolic Systems via the Lyapunov-Razumikhin Technique*

Abstract

This work investigates the stability for a class of linear hyperbolic systems with distributed sampled-data controllers. First, we convert the original system into an equivalent system in which the sampling induced error is modeled as a reset integrator. Then by means of an appropriate Lyapunov function coupled with the Razumikhin technique, sufficient conditions are given for the Rε - stability of the system. Finally, our results are validated by a numerical example.