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Resumen de Local observability of nonlinear positive continuous-time systems

Zbigniew Bartosiewicz

  • Abstract Two observability properties of continuous-time nonlinear positive systems are studied: local observability and local positive observability. An algebraic necessary and sufficient condition for local observability is proved. It is expressed with the aid of ideals and cones in the ring of germs of analytic functions. Local positive observability is characterized in a more geometric fashion. This characterization naturally extends the known characterization of positive observability of positive linear systems. As for linear systems, criteria for local positive observability for nonlinear systems are very restrictive. This result is parallel to characterization of local positive reachability of nonlinear systems.


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