Frequency Domain Criterion for Robust Stability of Polytope of Polynomials

This paper provides a new necessary and sufficient condition for Hurwitz robust stability of polynomial family ∑ i = 1 m A i ( s ) B i ( s ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003067702/c6b3ff05-4348-45f5-97a1-acfe807326ca/content/eq2677.tif"/> , where B_i are fixed polynomials and A_i are interval ones. The condition is given in graphical form; it is based on the frequency domain approach. Some examples and extensions are considered.