A new approach to the calculation of the points at which the root locus crosses the imaginary axis is proposed and the corresponding parameters are given. Further, this method to analyze polynomial convexity is used. ...A new approach to the calculation of the points at which the root locus crosses the imaginary axis is proposed and the corresponding parameters are given. Further, this method to analyze polynomial convexity is used. Examples are given for illustration. It is shown that this approach is simple and useful to determine the Hurwitz stable polynomial.展开更多
基金supported by the Innovation Program of Shanghai Municipal Education Commission (Grant No.08YZ73)the Shanghai Leading Academic Discipline Project (Grant No.T0401)the Scientific Computing Key Laboratory of Shanghai Universities
文摘A new approach to the calculation of the points at which the root locus crosses the imaginary axis is proposed and the corresponding parameters are given. Further, this method to analyze polynomial convexity is used. Examples are given for illustration. It is shown that this approach is simple and useful to determine the Hurwitz stable polynomial.