Stochastic fixed‐time formation for nonlinear multi‐agent systems under a discontinuous protocol
Why this work is in the frame
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Bibliographic record
Abstract
Abstract This article mainly studies the time‐varying fixed‐time formation (FTF) tracking control problem for stochastically disturbed nonlinear multi‐agent systems on detail balanced graphs. First, a novel sufficient condition for ensuring the fixed‐time stability in probability of stochastic differential equation is given. Then, using the neighboring information, a simple discontinuous control protocol is designed for achieving time‐varying FTF. By means of non‐smooth analysis techniques, our control objective is obtained and a proper upper bound for the expectation of the stochastic settling time is estimated. Finally, a numerical illustration demonstrates that the proposed control protocol is effective.
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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 | 0.001 |
| 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