DocumentCode :
842588
Title :
Stability of a matrix polynomial in continuous systems
Author :
Ahn, S.M.
Author_Institution :
General Dynamics, San Diego, CA, USA
Volume :
28
Issue :
7
fYear :
1983
fDate :
7/1/1983 12:00:00 AM
Firstpage :
799
Lastpage :
801
Abstract :
Two sufficient conditions under which the roots of the determinant of a given ( 
) matrix polynomial of 
th order lie in the open left-half plane have been obtained. The first condition is given in terms of the positive definiteness of an ( 
) symmetric matrix, while the second condition is given in terms of the positive definiteness of an ( ) matrix that is a function of 
, Re 
. These conditions are represented in terms of rational functions of the coefficient matrices of the given matrix polynomial. Therefore, the explicit computation of the determinant polynomial is not required.
) matrix polynomial of th order lie in the open left-half plane have been obtained. The first condition is given in terms of the positive definiteness of an ( ) symmetric matrix, while the second condition is given in terms of the positive definiteness of an ( ) matrix that is a function of , Re . These conditions are represented in terms of rational functions of the coefficient matrices of the given matrix polynomial. Therefore, the explicit computation of the determinant polynomial is not required.Keywords :
Determinants; Poles and zeros; Polynomial matrices; Automatic programming; Continuous time systems; Convergence; Differential equations; Optimal control; Parameter estimation; Polynomials; Stability; Sufficient conditions; Symmetric matrices;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1983.1103315
Filename :
1103315
Link To Document :
