Exponential synchronization of delayed networked systems with delay‐dependent impulsive control
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Bibliographic record
Abstract
ABSTRACT This study deals with the synchronization problem in time‐delay networked systems with large delayed impulsive control. A novel inequality of the Razumikhin‐type is introduced, and it incorporates the concept of impulses with beyond‐interval delays by utilizing an innovative interval partition analysis approach. Based on the formulated inequality, a set of sufficient criteria for achieving global exponential synchronization (GES) in a class of networked leader–follower systems are obtained. Being different from the previous results in the literature, the novelty of the proposed approach exists in the fact that impulse delays are not constrained by the impulse interval, and the design process is much straightforward. Two numerical examples verify the effectiveness of the presented results.
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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 | 0.001 |
| 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.
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