Input-output finite-time stabilization of a class of nonlinear hybrid systems based on FSM with MDADT

This thesis investigates the problem of input-output finite-time stabilization for a class of nonlinear impulsive hybrid systems based on finite state machine (FSM). First, the concept of input-output finite-time stability (IO-FTS) is extended for such hybrid systems, then, the stability analysis is given by combining the multiple Lyapunov functions (MLFs) method and mode-dependent average dwell time (MDADT) technique, the corresponding sufficient conditions are derived and proved. Furthermore, a state feedback controller is designed to stabilize the hybrid systems. Finally, a numerical example is given to show the feasibility and effectiveness of the proposed controller.