  In this paper, we extend nonlinear negative imaginary (NI) systems theory to
switched systems. Switched nonlinear NI systems and switched nonlinear output
strictly negative imaginary (OSNI) systems are defined. We show that the
interconnection of two switched nonlinear NI systems is still switched
nonlinear NI. The interconnection of a switched nonlinear NI system and a
switched nonlinear OSNI system is asymptotically stable under some assumptions.
This stability result is then illustrated using a numerical example.
