Results on positive pairs of polynomials and their application to the construction of stability domains
Lin Huang, C.V. Hollot · International Journal of Control · 1987
The real polynomial f(s) = h(s2) + sg(s2)is Hurwitz if and only if (h, g– forms a so-called ‘positive pair’ of polynomials. In this paper, conditions are given that ensure that some polynomials h(λ) and g(λ) form a positive pair and then it is shown how these results can be applied to the construction of some stability domains. These Hurwitz regions will be exactly described by linear inequalities.