Stabilization of supply networks with transportation delay and switching topology

This paper is concerned with the stabilization problem for a class of dynamical supply networks, where the transportation delay, uncertain demand and switching topology are all taken into account. The main purpose is to design a state feedback control strategy to stabilize such a complex system. Based on the Lyapunov stability theory, a sufficient condition for the existence of state feedback controller is obtained, which ensures the exponential stability of supply networks at the stationary states. In addition, our main results also guarantee a prescribed H∞ disturbance attenuation level with respect to the uncertain demand. A simulation study is finally included to show the effectiveness of the proposed stabilization strategy.