On the Markov stability criterion for discrete systems

It is shown that the Markov stability criterion for discrete systems developed by H. Nour-Eldin (1971) can be simplified for n even, to a positivity test of the Hankel matrix S of low dimension m=n/2, and to a positivity test of certain linear combinations of the coefficients obtained through bilinear transformation. For n odd, the polynomial zf(z) is considered instead of f(z).<
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