Towards Modular Scattering-Based Design of Dissipative Networks with Time Delays
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Bibliographic record
Abstract
Results related to modular scattering-based design of complex dissipative networks in the case where at least some of the subsystems are interconnected over delayed communication channels are presented. Conditions for well-posedness of dissipative networks with delayed communication channels are formulated in terms of subsystems behaviors. Conditions on the subsystems that guarantee an interconnection to satisfy the target property of weak dissipativity with a quadratic supply rate and additional internal stability-like properties are established in the form of a linear matrix inequality as well as in the form of a graph separation condition. A procedure for the design of scattering transformations is developed which guarantees that the scattering-based interconnection with communication delays satisfies the target property. Iterative application of the proposed techniques allows for modular design of large scale dissipative networks with overall stability properties in the presence of communication delays.
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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 | 0.001 | 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