摘要
引入变长度棱边多项式的概念 ,并分析了其稳定性 .在该多项式族的一个端点稳定的情况下 ,以形如H-1(f0 )H(g)的矩阵的特征值确定了该多项式族的稳定性半径 ,其中H(f0 )和H(g)均为Hurwitz矩阵 .应用这一结果 ,解决了由区间对象族和一阶控制器构成的控制系统的稳定性半径的计算问题 .
The concept of edge polynomials with variable length is introduced. Stability of such polynomials is analyzed. Under the condition that one extreme of the edge is stable, the stability radius of edge polynomials with variable length is characterized in terms of the real spectral radius of the matrix H -1 ( f 0) H (g) , where both H (f 0) and H (g) are Hurwitz like matrices. Based on this result, stability radius of control systems with interval type plants and first order controllers are determined.
基金
theNationalNaturalScienceFoundation (6990 40 0 3 )
FundforResearchonDoctoralProgramsinInstitutionsofHigherLearning
