Covariance constrained LQ control and applications
Bibliographic record
Abstract
Variance control is one of the main themes in the stochastic control theory. The optimal LQ control with generalized covariance constraints (LQGCC) for the continuous linear time-invariant systems is studied in this paper. This problem consists of two aspects: (1) the feasibility of the generalized covariance constrained control problem, which is to make the covariances of different controlled variables satisfy certain pre-specified covariance constraints; (2) the optimization of LQ performance over the feasible controller set. It is shown that the feasibility of the GCC problem is equivalent to the feasibility of several linear matrix inequalities (LMIs). Furthermore, if the LMIs are feasible, the controller set can be parameterized by the solutions of the LMIs. If the GCC is feasible, then the minimization of the LQ performance is equivalent to solving a semi-definite programming problem and our approach ensures the global optimality.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.006 | 0.001 |
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 source (direct Gemma or distilled Codex), 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".