State feedback stabilization for a class of switched feedforward nonlinear systems with time-delay

This paper investigates the state feedback stabilization for a class of switched feedforward nonlinear systems with time-delay and arbitrary switching. A coordinate transformation is introduced at first. Then common Lyapunov function(CLF) and state feedback stabilization controller are constructed simultaneously in a framework of recursive method. The homogeneous domination approach is introduced in the controller design procedure. It has been proved that the hybrid systems are globally asymptotically stable under the proposed controller. A simulation example is provided to show the effectiveness of the proposed method.