DocumentCode :
843339
Title :
The solution of the matrix polynomial equation A(s)X(s) + B(s)Y(s) = C(s)
Author :
Feinstein, J. ; Bar-Ness, Y.
Author_Institution :
Pratt Institute, Brooklyn, NY, USA
Volume :
29
Issue :
1
fYear :
1984
fDate :
1/1/1984 12:00:00 AM
Firstpage :
75
Lastpage :
77
Abstract :
This note presents an algorithm for finding the solution {X(s), Y(s)} of the matrix polynomial equation A(s)X(s) + B(s)Y(s) = C(s) . Since the solution, when it exists, is not unique we will find the solution for which the rows of X(s) have a minimal possible degree. This procedure will result in a unique solution that is obtained by solving a set of linear equations. An example is given to illustrate the procedure.
Keywords :
Polynomial matrices; Colored noise; Control systems; Controllability; Linear systems; Nonlinear equations; Polynomials; Stability; Stochastic processes; Stochastic resonance; Stochastic systems;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1984.1103386
Filename :
1103386
Link To Document :
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