The Integral Input to State Stability (iISS) property is studied is the context of nonlinear time-invariant systems in cascade. A sufficient condition is given, in terms of the storage function of each subsystem, to ensure that the cascade composed of an iISS system driven by a Globally Asymptotically Stable (GAS) one remains GAS. Some sufficient conditions for the preservation of the iISS property under a cascade interconnection are also presented.

10aRobotics1 aChaillet, A1 aAngeli, D uhttp://www.centropiaggio.unipi.it/publications/integral-input-state-stability-cascaded-systems.html00881nas a2200121 4500008004100000245005400041210005400095520046700149653001300616100001600629700001400645856010000659 2005 eng d00aIntegral Input to State Stable systems in cascade0 aIntegral Input to State Stable systems in cascade3 aThe Integral Input to State Stability (iISS) property is studied is the context of nonlinear time-invariant systems in cascade. A sufficient condition is given, in terms of the storage function of each subsystem, to ensure that the cascade composed of an iISS system driven by a Globally Asymptotically Stable (GAS) one remains GAS. Some sufficient conditions for the preservation of the iISS property under a cascade interconnection are also presented.

10aRobotics1 aChaillet, A1 aAngeli, D uhttp://www.centropiaggio.unipi.it/publications/integral-input-state-stable-systems-cascade.html