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Artificial neural networks (ANN) have been recently recognized as useful tools for RF/microwave modeling and design. In this paper, a recent state-space dynamic neural network (SSDNN) approach for transient behavior modeling of high-speed nonlinear circuit is summarized. This technique extends the existing dynamic neural network (DNN) approach into a more generalized and robust state-space formulation. A training algorithm exploiting the adjoint sensitivity computation is utilized to enable SSDNN to efficiently learn from the transient input and output waveform data without relying on the circuit internal details. Through an exact circuit representation, the trained SSDNN model can be conveniently implemented and used in SPICE-like circuit simulators. We also review a set of stability criteria for checking local and global stabilities of the SSDNN model. An example of SSDNN modeling of physics-based high-speed driver circuit is presented. It's demonstrated that the SSDNN model can offer fast and accurate transient responses for high-speed interconnect design.