Summary: PHASE­CONVEX ARCS
IN ROOT SPACE AND
THEIR APPLICATION TO
ROBUST SPR PROBLEMS
F. P’erez # , C. Abdallah +
* ETSI Telecomunicacion, Universidad de Vigo, 36200­VIGO, SPAIN
+ EECE Dept., University of New Mexico, Albuquerque, NM 87131, USA.
ABSTRACT
This paper considers the problem of identifying regions
in the complex­plane, such that the phase of polynomials
having roots in those regions, is bounded by that of a few
extreme polynomials. Applications of the results are also
described.
1 Introduction
This short paper considers the problem of identifying re­
gions in the complex­plane, such that the phase of poly­
nomials having roots in those regions, is bounded by that
of a few extreme polynomials. More specifically, given a
family of polynomials P (z -1 )
P (z -1 ) = {p(z -1 ); p(z -1 i ) = 0 # z i

Source: Abdallah, Chaouki T- Electrical and Computer Engineering Department, University of New Mexico

Collections: Engineering