Schmid, J.J.Schmid2022-03-062022-03-062019https://publica.fraunhofer.de/handle/publica/25998410.1007/s00498-019-00248-5We establish characterizations of weak input-to-state stability for abstract dynamical systems with inputs, which are similar to characterizations of uniform and of strong input-to-state stability established in a recent paper by A. Mironchenko and F. Wirth. We also investigate the relation of weak input-to-state stability to other common stability concepts, thus contributing to a better theoretical understanding of input-to-state stability theory.en003006519journal article