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On Dimensions of Linear Discrete Dimension-unbounded Systems
Jun-e Feng,Biao Wang,Yongyuan Yu 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.1
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 andsystem matrices of some special cases is discussed. Then, for the general case, to directly calculate the transitiontime 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 effectivenessof these obtained results