摘要
Complex polynomials are of significance in engineering applications.This paper addresses the robust stability of such polynomials.We first system-atically discuss the alternative pair of polynomials and obtain some fundamentalresults.The geometric characterizations of the family of stable complex polyno-mials are investigated.Some connections with Sturm chains and conditions for theconvex combination of polynomials to be aperiodic are established.
Complex polynomials are of significance in engineering applications.This paper addresses the robust stability of such polynomials.We first system-atically discuss the alternative pair of polynomials and obtain some fundamentalresults.The geometric characterizations of the family of stable complex polyno-mials are investigated.Some connections with Sturm chains and conditions for theconvex combination of polynomials to be aperiodic are established.
基金
A project supported by the National Natural Science Foundation of China
