Observability of nonlinear systems

Knobloch, Hans-Wilhelm. "Observability of nonlinear systems." Mathematica Bohemica 131.4 (2006): 411-418. <http://eudml.org/doc/249894>.

@article{Knobloch2006,
abstract = {Observability of a general nonlinear system—given in terms of an ODE $\dot\{x\}=f(x)$ and an output map $y=c(x)$—is defined as in linear system theory (i.e. if $f(x)=Ax$ and $c(x)=Cx$). In contrast to standard treatment of the subject we present a criterion for observability which is not a generalization of a known linear test. It is obtained by evaluation of “approximate first integrals”. This concept is borrowed from nonlinear control theory where it appears under the label “Dissipation Inequality” and serves as a link with Hamilton-Jacobi theory.},
author = {Knobloch, Hans-Wilhelm},
journal = {Mathematica Bohemica},
keywords = {ordinary differential equations; observability; ordinary differential equations},
language = {eng},
number = {4},
pages = {411-418},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Observability of nonlinear systems},
url = {http://eudml.org/doc/249894},
volume = {131},
year = {2006},
}

TY - JOUR
AU - Knobloch, Hans-Wilhelm
TI - Observability of nonlinear systems
JO - Mathematica Bohemica
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 131
IS - 4
SP - 411
EP - 418
AB - Observability of a general nonlinear system—given in terms of an ODE $\dot{x}=f(x)$ and an output map $y=c(x)$—is defined as in linear system theory (i.e. if $f(x)=Ax$ and $c(x)=Cx$). In contrast to standard treatment of the subject we present a criterion for observability which is not a generalization of a known linear test. It is obtained by evaluation of “approximate first integrals”. This concept is borrowed from nonlinear control theory where it appears under the label “Dissipation Inequality” and serves as a link with Hamilton-Jacobi theory.
LA - eng
KW - ordinary differential equations; observability; ordinary differential equations
UR - http://eudml.org/doc/249894
ER -