Title :
On the state isomorphism approach to identifiability of homogeneous systems
Author :
Hanzon, Bernard ; Peeters, Ralf L M
Author_Institution :
Vrije Univ., Amsterdam, Netherlands
Abstract :
Two new theorems are presented concerning a class of homogeneous systems. The first result shows that the state isomorphism for a pair of indistinguishable systems is, under certain conditions, homogeneous of degree one. The second result shows that, under certain conditions, this state isomorphism is linear in a case when the observability rank condition holds at the origin of the both systems, and for each system the observability rank condition and the controllability rank condition hold in an open set along the origin
Keywords :
controllability; identification; nonlinear systems; observability; state-space methods; controllabilitv rank condition; homogeneous systems; identifiability; nonlinear system; observability rank condition; state isomorphism; state space systems; Appraisal; Controllability; Ear; Kalman filters; Nonlinear systems; Observability; Polynomials; State-space methods;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980293
