Stability of sampled‐data, delayed haptic interaction under passive or active operator
Bibliographic record
Abstract
This study studies the absolute stability of a sampled‐data, m ‐user haptic virtual environment (HVE) system based on the discrete‐time circle criterion. Depending on the task being performed by an operator, the passivity of the operator is influenced. The authors provide a framework for the system stability analysis, in which the operator is allowed to exhibit passive or active behaviour. In this study, the well‐known Colgate's stability condition for a 1‐user haptic system with a passive operator is reproduced and then extended to the m ‐user case while allowing each or all of the operators to behave passively or actively. Another extension to Colgate's condition comes by allowing communication delays to exist in the system. Simulations and experiments confirm the validity of the proposed conditions for stability of sampled‐data, delayed m ‐user HVE systems.
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How this classification was reachedexpand
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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".