Geodesic
Observability of nonlinear systems
Mathematica Bohemica, Tome 131 (2006) no. 4, pp. 411-418.

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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.
DOI : 10.21136/MB.2006.133974
Classification : 34A34, 34C14, 93B07
Keywords: ordinary differential equations; observability 
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Knobloch, H. W. Observability of nonlinear systems. Mathematica Bohemica, Tome 131 (2006) no. 4, pp. 411-418. doi : 10.21136/MB.2006.133974. http://geodesic.mathdoc.fr/articles/10.21136/MB.2006.133974/

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