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 :
