A stability criterion for switching Lur’e systems with switching-path restrictions

This paper derives a stability criterion for switching Lur’e MIMO systems with time-varying nonlinearities, where switching is subject to given restrictions. These restrictions are encoded via the notion of a switching path, interpolating the criterion between the single-system case and arbitrary switching. The criterion for switching Lur’e systems is shown to boil down to a familiar LMI criterion for linear switching systems for the case the Lur’e systems have a linear feedback. The model of a switching Lur’e system is used to describe an MPC control scheme subject to loss of output readings. This example illustrates the practical and theoretical usefulness of the introduced switching path restrictions.