L<sub>2</sub> stability of haptic systems with projection-based force reflection
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Bibliographic record
Abstract
The problem of stability of haptic interaction with virtual objects is addressed, where the force reflection is implemented using the projection-based principle. A stability condition is derived that generalizes some previously known results to the case of projection-based force reflection. It demonstrates that, in this case, an additional design parameter is brought in that allows to increase the admissible stiffness of the virtual wall and decrease the update rate without changing the damping of the haptic device. A passivity based interpretation of the result is given in terms of interconnection of generalized passive systems where the excess of passivity of haptic device compensates the shortage of passivity of the virtual wall. In particular, it is shown that the projection-based force reflection allows to arbitrarily increase the excess of passivity of the haptic device without changing its physical damping.
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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 | 0.001 |
| 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