Hysteresis Switching Design for Stabilization of a Class of Switched Neutral Systems

AbstractStabilization of a class of switched neutral systems with discrete time-varying delays is investigated in this paper. The upper bound of the derivative of the discrete time-varying delay is an arbitrary given unknown constant. Each subsystem is not assumed stable. In order to avoid sliding modes and chattering, a hysteresis switching law is designed based on state space partition, which considers the information of both discrete delays and neutral delays sufficiently. The obtained delay-dependent stabilization criterion is given in terms of linear matrix inequality by introducing free-weighting matrices. Finally, a simulation example is given to motivate and exemplify the proposed strategy.