A new parameterization of stable polynomials

The authors develop a novel characterization of stable polynomials. Specifically, given n positive, ordered numbers (frequencies) we develop a procedure for constructing a stable degree n monic polynomial with real coefficients. This construction can be viewed as a mapping from the space of n ordered frequencies to the space of stable degree n monic polynomials. The mapping is one-to-one and onto, thereby giving a complete parameterization of all stable degree n polynomials. The result is useful in robust control analysis and design