A test for determining the zero distribution of a real polynomial with respect to the imaginary
axis is presented. It is based on the construction of a sequence of polynomials of …

The numerical computation of the abscissa of stability of a polynomial, defined as the largest
of the real parts of the zeros of the polynomial, is a problem that occurs repeatedly in …

Necessary and sufficient algebraic conditions for the roots of a real polynomial to lie inside
the unit circle are given in table form. In this form, the constraints are obtained only by …

Two new theorems and two corollaries are presented which give sufficient conditions for a
polynomial to have all its roots inside the unit circle. These results unify and extend certain …

The location of the zeros of discrete systems characteristic polynomials with respect to the
unit circle is investigated. A new sequence of symmetric polynomials of descending degrees …

The problem of determining the root distribution of a real polynomial with respect to the unit
circle, in terms of the coefficients of the polynomial, was solved by Jury in 1964. The …

We extend a new stability test proposed recently for discrete system polynomials [1] to
polynomials with complex coefficients. The method is based on a three-term recursion of a …

In a preceding communication[I], a method for determining stability by use of a table form
has been presented. The table had also been used in determining the root distribution within …

In most undergraduate texts on control systems, the Routh-Hurwitz criterion is usually
introduced as a mechanical algorithm for determining the Hurwitz stability of a real …

The original Routh table dealing with real polynomials is further investigated for complex
polynomials. A tabular form for determining root distribution of a complex polynomial with …