On the Robustness of Low-Order Schur Polynomials

Abstract

Robust stability conditions for low-order Schur polynomials are obtained. In particular, conditions for degree n = 2, 3, 4, and 5 are explicitly obtained. These conditions relate to stability of the corner points for n = 2, 3 and for corner and possible supplementary points for n = 4 and 5. Two counterexamples given in the literature are fully discussed in relation to the obtained conditions. Future research work on possible extension of the results to higher order Schur polynomials are discussed. Show more