As a typical class of hybrid systems, switched systems are of great interest for both theoretical development and engineering applications. On one hand, due to uncertain parameters, unknown control directions, random disturbances and unmeasurable states normally exists in the actual systems, which may degrade system performance and even lead to system instability. On the other hand, due to the interaction between continuous variables dynamic and discrete event dynamic, the dynamic behavior of system becomes more complicated. Thus numerous problems of controller design and stability analysis need to be solved. By adding a power integrator technique, homogenous domination approach, dynamic gain technique and Lyapunov stability theory, this project aims to investigate a variety of control problems for nonlinear switched systems. this book studies the state feedback stabilization, finite time adaptive control and output feedback stabilization of several classes of nonlinear switched systems, and designs an adaptive switching fault-tolerant strategy to solve the actuator failure problems of hypersonic systems.