The discrete Kharitonov theorem revisited (Q2718766)

Using the discrete analogue of the weak Kharitonov theorem for monic polynomials, the author of this paper obtains a result which is better than the ordinary weak Kharitonov theorem.NEWLINENEWLINENEWLINEA transformation on the coefficients space of polynomials which maps a Schur polynomial into another Schur polynomial is called Schur invariant. An \(n\)-dimensional polytope using a Schur invariant transformation on the coefficients space of the polynomials is obtained. The main result states that this \(n\)-dimensional polytope will be Schur stable if only the corner polynomials of the \((n-1)\)-dimensional polytope defined by the discrete Kharitonov theorem are Schur stable.