On Structurally Constrained Control Design with a Prespecified Form
Why this work is in the frame
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Bibliographic record
Abstract
This paper deals with the decentralized overlapping control of interconnected systems. It is shown how the existing results aiming at designing a decentralized controller of a certain type such as static, dynamic, finite-dimensional linear time-varying, and sampled-data can be utilized to design a decentralized overlapping controller of a desired form, in order to achieve the design specifications. It is known that quotient fixed modes (QFM) of a decentralized control system are fixed with respect to any general (nonlinear and time-varying) decentralized control law. Generalization of this result to the decentralized overlapping control problem, i.e. the case when the control structure is only partially localized, is not trivial at all. The notion of quotient overlapping fixed mode (QOFM) is introduced and it is shown that a mode of the interconnected system can be shifted by means of a general decentralized overlapping controller if and only if it is not a QOFM. It is then asserted that any interconnected system with no unstable QOFM can be stabilized by using an appropriate finite-dimensional linear time-varying controller. This work takes advantage of the new developments in analysis and design of decentralized control systems. The efficacy of the results is elucidated through a numerical example.
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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 | 0.002 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.003 | 0.001 |
| Bibliometrics | 0.000 | 0.002 |
| Science and technology studies | 0.000 | 0.003 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.004 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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