DocumentCode
853113
Title
Lyapunov and Riccati equations: Periodic inertia theorems
Author
Bittanti, S. ; Colaneri, P.
Author_Institution
Politecnico di Milano, Milano, Italy
Volume
31
Issue
7
fYear
1986
fDate
7/1/1986 12:00:00 AM
Firstpage
659
Lastpage
661
Abstract
The Lyapunov and Riccati differential equations with periodically time-varying coefficients are considered. Under the assumption of detectability of the underlying periodic system, two inertia theorems are provided linking the inertia of the solution to the one of the so-called monodromy matrix.
Keywords
Differential Riccati equations; Lyapunov matrix equations; Riccati equations, differential; Time-varying systems; Automatic testing; Controllability; Differential equations; Eigenvalues and eigenfunctions; Joining processes; Observability; Riccati equations; Stability; System testing;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1986.1104353
Filename
1104353
Link To Document