A Routh-like algorithm in system identification and adaptive control

This paper introduces algorithms to be used for finding the Cauchy index of a transfer function and for solving the Diophantine equation. The algorithms are similar to the Routh-Hurwitz array in structure and are simple to implement. The first algorithm also provides a simple check for the presence of almost common factors between two polynomials, and so is useful as a computationally inexpensive alternative to the sylvester determinant. It also finds the almost common factor, and so is potentially useful as an alternative to [8] in implementing self-tuning regulators for nonminimum-phase systems [6].