A Cauchy index approach for zero location of polynomials with respect to the unit circle
- 1 December 1985
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
We give an alternative proof for a recently proposed stability test for counting the zeros location of a polynomial with respect to the unit circle. A correspondence is shown between the symmetric polynomials in the new stability formulation and a Sturm sequence of polynomials over the real interval [-1, 1] after which the alternative proof is obtained by the index theory of Cauchy.Keywords
This publication has 3 references indexed in Scilit:
- On the terminology relationship between continuous and discrete systems criteriaProceedings of the IEEE, 1985
- Zero location with respect to the unit circle of discrete-time linear system polynomialsProceedings of the IEEE, 1984
- Counting Zeros of Real Polynomials within the Unit DiskSIAM Journal on Numerical Analysis, 1983