Input-to-state stability (ISS), integral-ISS (iISS) and their related notions of input/output stability and detectability have become a useful framework for nonlinear feedback analysis and design. In this paper, a new notion, that of constrained input-to-state stability (cISS), is presented and several characterizations of cISS are obtained. cISS, unlike ISS or iISS, is not confined to forward ...