Multiobjective $\mathcal{H}_2$/$\mathcal{H}_\infty$ Control Design Subject to Multiplicative Input Dependent Noises
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
This paper addresses the mixed $\mathcal{H}_2$/$\mathcal{H}_\infty$ control problem for linear discrete-time systems with structured multiplicative input noises. The structured random noises are modelled by a diagonal matrix where individual multiplicative noise is allowed to be different. The Nash game methodology is adopted to deal with such a multiobjective control problem, and a necessary and sufficient condition is analytically given in terms of two cross-coupled modified algebraic Riccati equations (MAREs). Based on the stabilizing solutions to MAREs, bounded causal equilibrium strategies are thus conducted and the resulting control law optimizes some specific performance together with a guaranteed worst case performance. Some relevant issues that can be regarded as special cases of the problem under consideration are also discussed. Moreover, a numerical example is included to show the validity of the present results.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 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