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
fDate :
9/1/1991 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
