Title :
Lyapunov and Riccati equations: Periodic inertia theorems
Author :
Bittanti, S. ; Colaneri, P.
Author_Institution :
Politecnico di Milano, Milano, Italy
fDate :
7/1/1986 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1986.1104353
