  This paper deals with input/output-to-state stability (IOSS) of
continuous-time switched nonlinear systems. Given a family of systems, possibly
containing unstable dynamics, and a set of restrictions on admissible switches
between the subsystems and admissible dwell times on the subsystems, we
identify a class of switching signals that obeys these restrictions and
preserves stability of the resulting switched system. The primary apparatus for
our analysis is multiple Lyapunov-like functions. Input-to-state stability
(ISS) and global asymptotic stability (GAS) of switched systems under
pre-specified restrictions on switching signals fall as special cases of our
results when no outputs (resp., also inputs) are considered.
