Abstract
AbstractThis paper describes a method for constructing an inverse system with inherent delay for causal two‐dimensional (2‐D) systems described by the Roesser state‐space model. In other words, the weakly causal 2‐D systems proposed by Eising are considered as 1‐D dynamic systems such that each element of the coefficient matrix is a rational function of one variable. It is shown also that an inversion with inherent delay for causal 2‐D systems can be discussed in general from a viewpoint of 1‐D dynamic systems. The features of the method are as follows: (i) the theory in 1‐D dynamic systems can be applied to the construction of 2‐D inverse systems; and (ii) a weakly causal inverse system can be obtained more easily from the viewpoint of a local state‐space model.
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