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
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;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478750
