ISSN:
1573-0824
Keywords:
Hurwitz polynomials
;
convexity ofH n
Source:
Springer Online Journal Archives 1860-2000
Topics:
Electrical Engineering, Measurement and Control Technology
Notes:
Abstract Let $$a(y,s) = \sum\limits_{i = 0}^{n - 1} {a_i s^i + s^n ,} $$ where the coefficientsa i =a i (y 1, ...,y m ) depend affinely onm parameters. IfP is the zone of Hurwitz parameters, a formula is obtained to compute the distance of a pointy′ εP to the boundary ∂P. Furthermore, in the particular casem=1 it is proved that, if a line through the origin intersects the Hurwitz zone, the intersection will be either a finite interval or a half line. Necessary and sufficient conditions are given for the occurrence of each of these alternatives.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01941017
Permalink