Stability Analysis on the Family of Nonlinearly Parameterized Real Polynomials
非线性参数化实系数多项式族稳定性分析

In this paper, the problem of D-stability testing for the family of nonlinearly parameterized real polynomial is studied by using the concept of distance in the coefficient space. The existence of single point testing is proved, and the sufficient condition to determine the family satisfying boundary testing is given. For the case that the family does not satisfy boundary testing, a low dimensional testing method to determine its D-stability is presented.