Title :
On Sturm´s theorem for interval polynomials
Author :
Okuyama, Yoshifumi ; Takemori, Fumiaki ; Chen, Hong
Author_Institution :
Fac. of Eng., Tottori Univ., Japan
Abstract :
The number of characteristic roots in a specified contour on an s-plane can be determined by Sturm´s theorem. In this paper, we will analyze the sequential operations of coefficients based on the division algorithm when the characteristic equation is expressed as an interval polynomial. We will examine whether these operations are reduced to the extreme point results of interval coefficients, give a graphical interpretation of the discrimination method, and give some numerical examples
Keywords :
polynomials; robust control; root loci; Sturm theorem; characteristic equation; characteristic roots; discrimination method; extreme point results; interval coefficients; interval polynomials; s-plane contour; Algorithm design and analysis; Control systems; Cutoff frequency; Equations; Error correction; Polynomials; Robust stability;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.707348
