On the robust stability of a class of polynomial families

The robust stability of a class of polynomial families, more general than the interval polynomial family and diamond polynomial family, was discussed. It was proved that the Hurwitz stability of some special cases of this class of polynomial families can be determined by checking finite polynomials. An example was also given to illustrate that it is not always possible to determine the Hurwitz stability of all this class of polynomial families by checking the finite polynomials.EI0121095-11021