胞映射方法的研究和进展  

DEVELOPMENT AND STUDY ON CELL MAPPING METHODS

作　　者：徐伟[1] 孙春艳[1] 孙建桥[2,3] 贺群 

机构地区：[1]西北工业大学,西安710072 [2]美国加州大学Merced分校 [3]天津大学力学系,天津300072 [4]西安武警技术学院,西安710086

出　　处：《力学进展》2013年第1期91-100,共10页Advances in Mechanics

基　　金：国家自然科学基金资助项目(11172233;10932009)~~

摘　　要：介绍了胞映射方法的研究和进展.归纳了目前胞映射方法的几种主要研究方法,主要包括简单胞映射、广义胞映射、图胞映射、图胞映射的符号分析方法、图胞映射的面向集合方法、邻接胞映射、庞加莱型的简单胞映射、插值胞映射以及胞参照点映射方法,分析了各类方法的基本特点和特色,简述了这几种胞映射方法的最新国内外进展,综述了胞映射方法在控制及相关领域的应用研究及进展,给出了胞映射方法研究的一些展望,提出了胞映射方法研究可能率先突破的几个研究方向.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.

关 键 词：胞映射方法 全局分析 控制及相关领域 

分 类 号：O175.1[理学—数学]