DocumentCode :
821578
Title :
More 
and 
and Author :
Lacoss, R.T. ; Shakal, A.F.
Author_Institution :
Massachusetts Institute of Technology, Cambridge, MA, USA
Volume :
21
Issue :
3
fYear :
1976
fDate :
6/1/1976 12:00:00 AM
Firstpage :
405
Lastpage :
406
Abstract :
The solution of the real matrix equation 
is given in terms of the eigenvalues and eigenvectors of 
, and the elements of 
. The solution is valid if the Ai are symmetric or if they do not have repeated eigenvalues. The solution can be extended to handle nonsymmetric matrices with repeated eigenvalues. The solution of 
is also given in closed form for the case of nonrepeated eigenvalues or symmetric Ai .
is given in terms of the eigenvalues and eigenvectors of , and the elements of . The solution is valid if the A is also given in closed form for the case of nonrepeated eigenvalues or symmetric AKeywords :
Matrix equations; Numerical integration; Costs; Eigenvalues and eigenfunctions; Equations; Industrial plants; Laboratories; Metalworking machines; Optimal control; Q measurement; Sufficient conditions; Symmetric matrices;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1976.1101249
Filename :
1101249
Link To Document :
