DocumentCode
1322381
Title
New relations between the Schur-Cohn-Fujiwara and Nour Eldin stability criteria
Author
Anderson, Brian D O ; Mansour, Mahomed
Author_Institution
Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia
Volume
36
Issue
9
fYear
1991
fDate
9/1/1991 12:00:00 AM
Firstpage
1117
Lastpage
1120
Abstract
The authors demonstrate relationships between two different stability criteria, including reduced-order versions of these criteria. Modifications of the criteria can also be used for root counting. The various matrices whose signatures are the key to obtaining root distributions are related by congruency transformations with triangular structure, implying that the sign patterns of the leading principal minors are identical
Keywords
matrix algebra; stability criteria; Nour Eldin stability criterion; Schur-Cohn-Fujiwara stability criterion; congruency transformations; leading principal minors; reduced-order; root counting; sign patterns; triangular structure; Context modeling; Estimation theory; H infinity control; Instruments; Linear systems; Stability criteria; Statistics; Testing;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.83553
Filename
83553
Link To Document