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On Dimensions of Linear Discrete Dimension-unbounded Systems

Jun-e Feng, Biao Wang*, and Yongyuan Yu
International Journal of Control, Automation, and Systems, vol. 19, no. 1, pp.471-477, 2021

Abstract : 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.

Keyword : Cross-dimensional system, dimension-unbounded system, discrete pseudo dynamic system, factorization, V-product.

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