A survey on linear discrete periodic systems

Due to its high importance in theory and practice, the research on discrete linear periodic systems is one of the most important topic in the control field. The existing results on this type of systems are summarized, and the main methods about several hot spots are introduced. These hot spots include invariant reconstruction, structure properties, stability, zeros and poles, model reduction and realization, fault diagnosis, and so on. The problems to be solved and the research trend are prospected at the end of this paper.