Robust Stability and Control of Fractional Polynomials Including Integer and Fractional Natural Exponential Functions
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 article focuses on the stability of uncertain fractional order (FO) polynomials involving integer and FO natural exponential functions. These functions arise from the flexibility property and time delays in the control loop of the system of rigid–flexible coupling space structures. The coefficients of the polynomial are assumed to be complex numbers which are linear functions of uncertain real parameters. An analytical method is presented to check the robust bounded-input bounded-output stability of the control system. Furthermore, a method is developed to determine up to how much the amplitude of the uncertain parameters can grow such that the controller preserves the stability of the system. In the end, an improved optimal FO phase-lead controller is designed for the residual vibration suppression of the FO model of a rigid–flexible coupling space structure. Then, the merit of the presented theoretical results is demonstrated by applying them to the designed control loop.
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 | 0.000 |
| 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