摘要：The talk is concerned with the control of a fluid flow system governed by nonlinear hyperbolic partial differential equations. Both the control and the output observation are located on the boundary.We study local stability of the equilibrium states by using Lyapunov approach. We present a strict Lyapunov function for time-invariant hyperbolic systems and establish a necessary and sufficient condition for exponential stability of the null equilibrium state. Using the necessary and sufficient condition we prove that the linearized flow system is exponentially stable around each subcritical hydraulic equilibrium state. A systematic design of PI (proportional and integral) controllers is proposed for the flow system based on the linearized model. Robust stabilization of the closed-loop nonlinear system by the designed PI controller is proved by using the direct Lyapunov method。