My research is motivated by the demand for advancing the control theory of switched dynamical systems. Characterized by the interaction of the continuous system dynamics and the discrete switching dynamics, switched systems provide a useful mechanism to model complex dynamics that are subject to abrupt parameter variations and sudden changes of system configurations. Moreover, as an additional degree of freedom besides control laws, switching strategies can be utilized to improve system performance as seen in many engineering systems such as electronics, communication network, power systems, automobile and traffic control. Nevertheless, analysis and control design of switched systems are difficult and pose significant challenges for control researchers and engineers. The goal of my current research is to develop switching control design framework that addresses important practical issues such as restricted switches and nonlinearities like actuator saturation.