INVARIANCE OF STABILITY PROPERTIES OF HADAMARD AND SZEGO PRODUCT POLYNOMIALS

Authors
BOSE NK GREGOR J
Citation
Nk. Bose et J. Gregor, INVARIANCE OF STABILITY PROPERTIES OF HADAMARD AND SZEGO PRODUCT POLYNOMIALS, Journal of the Franklin Institute, 334B(1), 1997, pp. 41-46
Citations number
11
Categorie Soggetti
Mathematics,"Engineering, Mechanical","Engineering, Eletrical & Electronic","Robotics & Automatic Control
Journal title
Journal of the Franklin Institute → ACNP
ISSN journal
00160032
Volume
334B
Issue
1
Year of publication
1997
Pages
41 - 46
Database
ISI
SICI code
0016-0032(1997)334B:1<41:IOSPOH>2.0.ZU;2-#
Abstract
It is shown that the integral representation of the Hadamard product o peration of coefficient-wise multiplication of two polynomials, recent ly proved to keep the Hurwitz property invariant, provides interesting links to results in linear time-invariant discrete-time system theory . It is also pointed out that the invariance of the Schur property for stability of discrete-time systems, though known to be invalid under the Hadamard product operation, holds true under the operation composi tion. Various other related results on invariance are also included. C opyright (C) 1996 Published by Elsevier Science Ltd