@article { , title = {The exponential input-to-state stability property: characterisations and feedback connections}, abstract = {The exponential input-to-state stability (ISS) property is considered for systems of controlled nonlinear ordinary differential equations. A characterisation of this property is provided, including in terms of a so-called exponential ISS Lyapunov function and a natural concept of linear state/input-to-state L2-gain. Further, the feedback connection of two exponentially ISS systems is shown to be exponentially ISS provided a suitable small-gain condition is satisfied.}, doi = {10.1007/s00498-023-00344-7}, eissn = {1435-568X}, issn = {0932-4194}, issue = {2}, pages = {375-398}, publicationstatus = {Published}, publisher = {Springer}, volume = {35}, keyword = {AI and Technologies, Differential equation, Exponential input-to-state stability, Feedback connection, Global exponential stability, Robust stability, Small-gain condition}, year = {2023}, author = {Guiver, Chris and Logemann, Hartmut} }