DocumentCode
294420
Title
Observability of the Riccati equation
Author
Dayawansa, W.P. ; Martin, C.F.
Author_Institution
Dept. of Electr. Eng., Maryland Univ., College Park, MD, USA
Volume
1
fYear
1995
fDate
13-15 Dec 1995
Firstpage
317
Abstract
We investigate the observability problem for the matrix Riccati equation with a scalar linear output function. We utilize recent results on the perspective observability of a system with linear dynamics to give necessary and sufficient conditions subject to a pair of genericity hypotheses on the system, namely, the eigenvalues of the Hamiltonian matrix are distinct and that the sum of eigenvalues corresponding to complex equilibria of the Riccati equation are distinct
Keywords
Riccati equations; dynamics; eigenvalues and eigenfunctions; matrix algebra; nonlinear control systems; observability; Hamiltonian matrix; complex equilibria; eigenvalues; linear dynamics; matrix Riccati equation; necessary condition; nonlinear control systems; observability; scalar linear output function; sufficient condition; Differential equations; Eigenvalues and eigenfunctions; Linear systems; Nonlinear dynamical systems; Nonlinear equations; Observability; Riccati equations; State-space methods; Tensile stress; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location
New Orleans, LA
ISSN
0191-2216
Print_ISBN
0-7803-2685-7
Type
conf
DOI
10.1109/CDC.1995.478750
Filename
478750
Link To Document