Comments on "Sufficient conditions for stability of multidimensional discrete systems"

In this letter, we indicate that the theorem in the above-titled letter which gives (m + 7) sufficient conditions for the multidimensional part of the stability test, is derived based on an incorrect intermediate step. Then the correct proof of the theorem is given. Later it is brought to light that the m additional conditions of this theorem (the other condition is already presented in [4], [5]) violates the one-dimensional part of the stability test and that each of these m additional conditions is sufficient to test the unstability of the multidimensional discrete causal system.