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September 29, 2025Open Access

A Dual Koopman Approach to Observer Design for Nonlinear Systems

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The paper establishes a rigorous theoretical framework for using the koopman operator in state estimation.
New definitions of observability and detectability are equivalently applied to nonlinear systems.
A spectral method is employed to design a Luenberger-type observer for the dual koopman system.
Numerical experiments validate the theoretical results, emphasizing the effectiveness of the approach.

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This framework defines observability and detectability for dual koopman systems and shows exponential convergence.

Mohet et al. (2025) studied this question.

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