Integral-Input-to-State Stability of Switched Nonlinear Systems Under Slow Switching

In this article we study integral-input-to-state stability (iISS) of nonlinear switched systems with jumps. We demonstrate by examples that iISS is not always preserved under slow enough dwell time switching, and then present sufficient conditions for to be switching. These involve, besides a sufficiently large time, some additional properties comparison functions characterizing the individual modes. When guarantee are only partially satisfied, able conclude weaker variants iISS, also introduced in work. As an illustration, show bilinear zero-input-stable modes time.