On global and local observability of nonlinear polynomial systems: a decidable criterion

Author:

Gerbet Daniel1,Röbenack Klaus1

Affiliation:

1. Institute of Control Theory , TU Dresden , Dresden , Germany

Abstract

Abstract It is very difficult to check the observability of nonlinear systems. Even for local observability, the observability rank condition provides only a sufficient condition. Much more difficult is the verification of global observability. This paper deals with the local and global observability analysis of polynomial systems based on algebraic geometry. In particular, we derive a decidable criterion for the verification of global observability of polynomial systems. Our framework can also be employed for local observability analysis.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Walter de Gruyter GmbH

Subject

Electrical and Electronic Engineering,Computer Science Applications,Control and Systems Engineering

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