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Weak input-to-state stability: Characterizations and counterexamples

: Schmid, J.


Mathematics of control, signals, and systems 31 (2019), No.4, pp.433-454
ISSN: 0932-4194 (print)
ISSN: 1435-568X (online)
Deutsche Forschungsgemeinschaft DFG
DA 767/7-1
Journal Article
Fraunhofer ITWM ()

We 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.