Optimal generalized sampled-data hold functions with a constrained structure
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Bibliographic record
Abstract
This paper deals with the optimal control of a continuous-time system using a structurally constrained generalized sampled-data hold function (GSHF). It is assumed that a stabilizing GSHF with a desired structure exists for the system. This desired structure is defined by a set of basis functions, and the GSHF is given as a weighted sum of these basis functions. The main objective of this paper is to adjust the coefficients of the weighted sum in order to minimize a predefined continuous-time LQR performance index, which accounts for the intersample ripple. This implies that the resultant GSHF has the same structure as the original one, while it minimizes the intersample ripple effect. The proposed method uses the recent developments in semidefinite programming to tune the parameters of the GSHF
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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) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 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