赫尔维兹多项式稳定性半径的计算

讨论Ｈｕｒｗｉｔｚ多项式稳定性半径的计算问题，这里所说的稳定性半径是相对于多项式系数中的Ｈｏｌｄｅｒｐ－范数界有不确定性而言，在一般情况下，稳定性半径的计算需要求某些函数的极小值，从而无法得到封闭解，本借助于根轨迹法对这些函数进行了分析和证明，在某些特殊情况下，这些函数的极小值只可能在某些可以事先确定的非驻点处取得，从而得到稳定性半径的解析解。

On the Computation of the Stability Radius of Hurwitz Polynomials

The stability radius problem of Hurwitz polynonmials with respect to the Holder p-norm-bounded uncertainties in the coefficients is considered .Usually,the solution to the stability radius problem demands the computation of the infimum of some certain functions, and can be approached only numerically Using root locus technique, these functions are analysed and it is shown that, in some spedal cases , the infimum can be achieved only at some non-stationary points which can be specified previously , hence, analytical solutions to the stability radius problem are available.