On robust Hurwitz and Schur polynomials

In this paper sufficient conditions for the robust stability of the Schur polynomial as a function of a single parameter are obtained. The conditions derived are based on a recent paper by Bose and Zeheb [1]. Also, based on the recent results of Nie and Xie [2] and Lipatov and Sokolov [9] simple sufficient conditions for the robust stability of both (strictly) Hurwitz and Schur polynomials as functions of a parameter are obtained. Furthermore, sufficient conditions for robustness of (strictly) Hurwitz and Schur polynomials under parameter variations are derived. Several examples are discussed illustrating the derived results. The derived results of this paper mainly extend the works of Kharitonov [3] and others.