Input/output-to-state stability of switched nonlinear systems

In this paper, we study the property of input/output-to-state stability (IOSS) for switched nonlinear systems under average dwell-time switching signals, both when each of the constituent systems is IOSS as well as when only some of the constituent systems are IOSS and others are not. This extends available results on input-to-state stability for switched nonlinear systems whose constituent systems are all ISS. We show that if the average dwell-time is big enough and if the fraction of time where one of the non-IOSS systems is active is not too big, then IOSS of the switched system can be established.