Distance-Based Formation Control of Nonlinear Agents Over Planar Directed Graphs
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Bibliographic record
Abstract
This paper presents a distance-based formation control of nonlinear agents on a plane. Due to mathematical complexity, the distance-based formation is mainly studied for linear single- and double-integrator models. Here, we introduce a novel control scheme for a distance-based control of a set of nonlinear agents. The formation topology is modeled as directed graphs where just one incident agent controls the corresponding edge (distance constraint). The proposed method is based on state-dependent Riccati equation (SDRE) theory, which can effectively be applied to nonlinear systems. The asymptotic stability of the formation is rigorously proven. Moreover, using the SDRE method and signed area constraints, the proposed controller guarantees collision avoidance and prevents flip ambiguity of the formation. Simulation results are presented that support theoretical results.
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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) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.002 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.002 | 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