Development and study on cell mapping methods

This paper presents briefly the research and development of cell mapping methods. Several main cell mapping methods are summarized, including simple cell mapping, generalized cell mapping, digraph cell mapping, symbolic analysis method of digraph cell mapping, set-oriented method of digraph cell mapping, adjoining cell mapping, Poincare-like simple cell mapping, interpolated cell mapping and point mapping under cell reference. For these methods, basic features and characteristics are analyzed, and both domestic and foreign research developments are outlined. Furthermore, the research developments of cell mapping method for control and related fields are presented. Finally, the paper suggests some research prospects and some directions that may first be broken through in the research field of cell mapping method.