多项式族D-稳定性的频域分析

Frequency Domain Analysis of D-stability of Families of Polynomials

在频域中通过多项式的相角和相角速度的研究，给出了判断多项式凸多面体的D-稳定性的一种简单算法，得出了稳定的多项式的凸组合保持D-稳定的一些充分条件及充分必要条件．这些条件对于寻找判别系统鲁棒稳定性的顶点型判据有一定的指导意义．

By studying the properties or the phase angle and the phase angle velicity of polynomials in the frequency domain, a simple algorithm is given for dertermining the D-stability of a polytopc of potynomials, and some sufficient conditions and a necessary and sufficient condition are then obtained for the D-stability or convex combinations of sta- ble polynomials. These conditions are quite useful for seeking the vertex results in checking the robust stability of the systems.