DocumentCode
832965
Title
A necessary and sufficient condition for the solution of the Riccati equation to be periodic
Author
Sasagawa, Tetsushi
Author_Institution
Sophia University, Tokyo, Japan
Volume
25
Issue
3
fYear
1980
fDate
6/1/1980 12:00:00 AM
Firstpage
564
Lastpage
566
Abstract
Assuming that the solution of the autonomous Riccati differential equation exists for all 
, we give a necessary and sufficient condition for the solution to be periodic. At the same time, from this condition one can readily obtain the period of this periodic solution. Similar results are shown for the discrete and nonautonomous Riccati equations.
, we give a necessary and sufficient condition for the solution to be periodic. At the same time, from this condition one can readily obtain the period of this periodic solution. Similar results are shown for the discrete and nonautonomous Riccati equations.Keywords
Differential Riccati equations; Riccati equations, differential; Algebra; Artificial intelligence; Differential equations; Eigenvalues and eigenfunctions; Identity-based encryption; Reluctance generators; Riccati equations; Stacking; Sufficient conditions; Symmetric matrices;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1980.1102390
Filename
1102390
Link To Document