Hurwitz polynomials serve as a key criterion for determining the asymptotic stability of continuous, time-invariant linear systems, and there is a well-known relationship between the theory of orthogonal polynomials and Hurwitz polynomials. In this talk, I will describe these relations in some detail and show how basic properties of orthogonal polynomials can help to construct families of robustly stable Hurwitz polynomials. Some applications will be discussed.