Title :
Convexity of a frequency response are associated with a stable entire function
Author :
Cohen, N. ; Kogan, J.
Author_Institution :
Dept. of Electr. Eng., Israel Inst. of Technol., Haifa, Israel
fDate :
2/1/1996 12:00:00 AM
Abstract :
In this paper the authors extend the convexity results for Hurwitz polynomials reported in Hamann and Barmish (1993) to a large class of entire functions. This class includes all the Hurwitz quasi-polynomials. The authors show that the origin may fail to be in the interior of the inner frequency response set of a Hurwitz quasi-polynomial and state a sufficient condition which prevents this from happening
Keywords :
frequency response; polynomials; Hurwitz quasi-polynomials; convexity; frequency response; stable entire function; sufficient condition; Clocks; Frequency response; Geometry; Linear systems; Mathematics; Nonlinear systems; Polynomials; Stability analysis; Statistics; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
