ISS and integral-ISS of switched systems with nonlinear supply functions

Abstract The problem of input-to-state stability (ISS) and its integral version (iISS) are considered for switched nonlinear systems with inputs, resets possibly unstable subsystems. For the dissipation inequalities associated Lyapunov function each subsystem, it is assumed that supply functions, which characterize decay rate ISS/iISS gains subsystems, nonlinear. change in value functions at switching instants described by a sum growth gain also Using notion average dwell-time (ADT) to limit number on an interval, activation time (AAT) systems, formula relating ADT AAT derived guarantee system. Case studies saturating dynamics bilinear included illustration results.