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In their article Xiao and Hill (see ibid., vol.44, p.2108-10, 1996) show via an example that the conditions of the Theorem 3 in an earlier paper by Tzafestas et al. (1992) may not guarantee stability of 2-D linear systems. The authors incorrectly conclude that the BIBO unstable 2-D linear system may have a stable finite wordlength implementation using saturation arithmetic. The authors comment that this incorrect conclusion is due to an erroneous result in the earlier paper by Tzafestas et al.
Date of Publication: March 1998