Hysteresis switching design for stabilization of a class of switched neutral systems
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KünyeLi, T. F., Zhao, J., Dimirovski, G. M. (2013). Hysteresis switching design for stabilization of a class of switched neutral systems. Asian Journal of Control, 15(4), 1149-1157. http://dx.doi.org/10.1002/asjc.628
Stabilization 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.