A PROCEDURE FOR THE POSITIVE DEFINITENESS OF FORMS OF EVEN ORDER

Authors
HASAN MA HASAN AA
Citation
Ma. Hasan et Aa. Hasan, A PROCEDURE FOR THE POSITIVE DEFINITENESS OF FORMS OF EVEN ORDER, IEEE transactions on automatic control, 41(4), 1996, pp. 615-617
Citations number
12
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
41
Issue
4
Year of publication
1996
Pages
615 - 617
Database
ISI
SICI code
0018-9286(1996)41:4<615:APFTPD>2.0.ZU;2-E
Abstract
A positivity method for forms of even order is reported, It is shown t hat testing for positivity of such forms can be reduced to a test for positive definiteness of parametric matrices, Special emphasis is plac ed on quartic- and sixth-order forms, Examples are given to illustrate the proposed criterion.