This paper aims to discuss and analyze the potentialities of Recurrent Neural Networks (RNN) in control design applications. The main families RNN are considered, namely Nonlinear AutoRegressive eXogenous, (NNARX), Echo State (ESN), Long Short Term Memory (LSTM), Gated Units (GRU). goal is twofold. Firstly, survey recent results concerning training that enjoy Input-to-State Stability (ISS) Incr...