The chapter addresses the problems of global exponential stability analysis and global exponential stabilization of continuous-time delayed NNs. The involved NNs include continuous-time neutral-type CGNNs with multiple time-varying delays, continuous-time quaternion-valued NNs with leakage, transmission, and distributed delays, continuous-time MNNs with multiple time-varying unbounded transmission delays, and continuous-time INNs with multiple time-varying transmission delays. A direct method based on system solutions is proposed to establish global exponential stability and stabilization criteria for continuous-time delayed NNs under consideration.