Strong iISS is preserved under cascade interconnection

Abstract : In a recent paper, we have introduced the notion of Strong iISS as a compromise between the strength of input-to-state stability (ISS) and the generality of integral ISS (iISS). In this note, we continue the investigations around this property by studying its behavior in an interconnection context. In particular, we show that the cascade of Strongly iISS systems is itself Strongly iISS and we recall some useful tools to study Strongly iISS systems in feedback interconnection.
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Submitted on : Wednesday, January 14, 2015 - 2:35:44 PM
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Antoine Chaillet, David Angeli, Hiroshi Ito. Strong iISS is preserved under cascade interconnection. Automatica, Elsevier, 2014, 50 (9), pp.2424-2427. ⟨10.1016/j.automatica.2014.07.025⟩. ⟨hal-01103301⟩

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