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- W4287283722 abstract "Willems et al. showed that all input-output trajectories of a discrete-time linear time-invariant system can be obtained using linear combinations of time shifts of a single, persistently exciting, input-output trajectory of that system. In this paper, we extend this result to the class of discrete-time single-input single-output flat nonlinear systems. We propose a data-based parametrization of all trajectories using only input-output data. Further, we use this parametrization to solve the data-based simulation and output-matching control problems for the unknown system without explicitly identifying a model. Finally, we illustrate the main results with numerical examples." @default.
- W4287283722 created "2022-07-25" @default.
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- W4287283722 date "2021-03-04" @default.
- W4287283722 modified "2023-09-26" @default.
- W4287283722 title "Data-Based System Analysis and Control of Flat Nonlinear Systems" @default.
- W4287283722 doi "https://doi.org/10.48550/arxiv.2103.02892" @default.
- W4287283722 hasPublicationYear "2021" @default.
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