2‐DOF nonlinear ℋ<sub>∞</sub> certainty‐equivalent filters (CEFs)
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Bibliographic record
Abstract
SUMMARY In this paper, a new theory of two‐degrees‐of‐freedom (2 hbox − DOF ) ℋ︁ ∞ filters as counterparts of 2‐DOF controllers is presented. The theory is also extended to n − DOF filters which bore strong resemblance to linear finite‐impulse‐response filters and hence generalizes this class of filters to the nonlinear continuous‐time case. Sufficient conditions for the solvability of the filter gains are derived in terms of new Hamilton–Jacobi–Isaacs equations which do not involve the system states. This is an improvement over earlier results in which the filter gains are functions of the system states. Simulation results are also presented to support the theory. Copyright © 2011 John Wiley & Sons, Ltd.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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