DocumentCode :
838237
Title :
Solutions of the Lyapunov matrix equation 
Author :
Jones, John, Jr. ; Lew, Charles
Author_Institution :
Air Force Institute of Technology, Wright-Patterson AFB, OH, USA
Volume :
27
Issue :
2
fYear :
1982
fDate :
4/1/1982 12:00:00 AM
Firstpage :
464
Lastpage :
466
Abstract :
The main purpose of this correspondence is to establish an expression for the solution of the Lyapunov matrix equation in terms of the principal indempotents and nilpotents of the coefficient matrices. The coefficient matrices are not necessarily of the same size and may have common characteristic roots and have elements belonging to the field of complex numbers.
Keywords :
Lyapunov matrix equations; Mathematics; Protection; Riccati equations; Sufficient conditions; US Government;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1982.1102902
Filename :
1102902
Link To Document :
