A simplified stability test for 1-D discrete systems (Q1073763)

This paper shows that the stability tests for 1-D discrete systems using the transformation \(p=(z+z^{-1})\) and properties of Chebyshev polynomials developed previously can be directly obtained from the z- domain continued fraction expansion based on the functions \((z+1)\) and \((z^{-1}+1)\) on an alternate basis. Furthermore, it is shown that the root distribution of a polynomial with real coefficient can be determined by the same algorithm.