An application of the pseudo boundary of an unstable polytope of polynomials

The authors propose a very useful application of the pseudoboundary of an unstable polytope of polynomials by giving a unified procedure to test the stability of uncertain polynomials with multilinear coefficients or even polynomial coefficients in the parameters. In the case when the number of parameters involved in the coefficients of the polynomials is at most three, one can actually partition the parameter space in such a manner that one region gives rise to the stable part and the other the unstable part of the polytope of polynomials. An illustrative example is given