DocumentCode :
840149
Title :
Stability of a matrix polynomial in discrete systems
Author :
Ahn, S.M.
Author_Institution :
General Dynamics Corporation, San Diego, CA, USA
Volume :
27
Issue :
5
fYear :
1982
fDate :
10/1/1982 12:00:00 AM
Firstpage :
1122
Lastpage :
1124
Abstract :
Two sufficient conditions that the determinant of a nonsingular real ( 
) matrix polynomial of 
th order has all its roots inside the unit circle have been obtained. These conditions are represented in terms of rational functions of the coefficient matrices. Therefore, these conditions do not require the computation of the determinant polynomial. The first condition is given in terms of the positive definiteness of an ( 
) symmetric matrix, while the second condition is expressed by the positive definiteness of an ( ) Hermitian matrix which is a function of 
. The first condition implies the second, and hence is more restrictive than the second.
) matrix polynomial of th order has all its roots inside the unit circle have been obtained. These conditions are represented in terms of rational functions of the coefficient matrices. Therefore, these conditions do not require the computation of the determinant polynomial. The first condition is given in terms of the positive definiteness of an ( ) symmetric matrix, while the second condition is expressed by the positive definiteness of an ( ) Hermitian matrix which is a function of . The first condition implies the second, and hence is more restrictive than the second.Keywords :
Polynomial matrices; Stability, linear systems; Distributed control; Gain; Large-scale systems; Output feedback; Polynomials; Power system control; Power system interconnection; Power system stability; Power systems; Symmetric matrices;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1982.1103078
Filename :
1103078
Link To Document :
