On Stability of Koopman Operator-Based Output-Driven Control
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Bibliographic record
Abstract
We present conditions of stability for an output feedback control framework of (unknown) nonlinear systems using Koopman operator theory, integrating derivative estimation via high-gain observers (HGOs) and gain synthesis through linear quadratic tracking (LQT) optimal controller. We show that this modeling process can be done effectively using output data only, the whole control strategy is output-driven. Closed-loop stability is proven under conditions where the residual errors from the HGO estimation and the Koopman model truncation effects are bounded. The accuracy of the Koopman model depends solely on these residuals, relying instead on the quality of the data-driven model and observer performance. Numerical simulations of a nonlinear system validate the theoretical results.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.004 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it