Robust Schur-stability analysis of interval polynomials with real coefficients
Zhongwei He, Wei Cheng Xie · 2014
This paper deals with robust stability analysis of real interval polynomials via value distribution theory. First, necessary conditions for Schur-stability are formulated in terms of inequalities using techniques from Landau theorem. These conditions can be employed for a preprocessing rejection scheme to test interval polynomials as being non-Schur-stable. Secondly, based on the values of its adjacent coefficients and theory of polynomial, a sufficient condition for robust Schur-stability of interval polynomial is proposed. Such a sufficient condition can be used to find an interval polynomial from a single polynomial, and also its robust Schur-stability is guaranteed.