标题：On Dimensions of Linear Discrete Dimension-unbounded Systems
作者：Feng J.-E.; Wang B.; Yu Y.
作者机构：[Feng, J.-E] School of Mathematics, Shandong University, Ji’nan, 250100, China;[ Wang, B] School of Mathematics, Shandong University, Ji’nan, 250100 更多
通讯作者地址：[Wang, B] School of Mathematics, Shandong UniversityChina;
来源：International Journal of Control, Automation and Systems
关键词：Cross-dimensional system; dimension-unbounded system; discrete pseudo dynamic system; factorization; V-product
摘要：This letter investigates the variance of state dimensions of linear discrete dimension-unbounded systems, which are a class of cross-dimensional systems. First, the dimensional relationship of states, initial values and system matrices of some special cases is discussed. Then, for the general case, to directly calculate the transition time and state dimensions after the transition time, an algorithm is established on the basis of the iterative time, dimensions of initial values and system matrices. Finally, there is an illustrative example to show the effectiveness of these obtained results. © 2020, ICROS, KIEE and Springer.