{"id":"W3120523256","doi":"10.1016/j.jmaa.2021.125566","title":"Exponential stability of systems of vector delay differential equations with applications to second order equations","year":2021,"lang":"en","type":"preprint","venue":"Journal of Mathematical Analysis and Applications","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Order (exchange); Differential equation; Exponential function; Matrix (chemical analysis); Exponential stability; Combinatorics; Mathematical analysis; Hurwitz matrix; Delay differential equation; Stability (learning theory); Physics; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007309237,0.0002326263,0.001073534,0.0004863954,0.0001363468,0.0001895452,0.0008149971,0.0001340603,0.0002613142],"category_scores_gemma":[0.00011632,0.000176986,0.000409407,0.001667972,0.0001380651,0.000157023,0.0004334406,0.0003281332,0.000002630873],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003814281,"about_ca_system_score_gemma":0.0002746781,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001443044,"about_ca_topic_score_gemma":0.00002603646,"domain_scores_codex":[0.997073,0.0001858774,0.001560252,0.0003967565,0.0006142039,0.0001699333],"domain_scores_gemma":[0.9949343,0.0008918609,0.001448129,0.001012058,0.001481934,0.0002317762],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002956164,0.002861822,0.0001863712,0.001875837,0.004355691,0.000002692639,0.001944796,0.01664289,0.006703967,0.9621691,0.00002073716,0.003206494],"study_design_scores_gemma":[0.002027219,0.000729479,0.00280057,0.001321679,0.01799288,0.0001108564,0.003456929,0.8237411,0.01670002,0.1282921,0.0008364628,0.00199075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02998901,0.0002400543,0.9685788,0.0002064123,0.00003241707,0.0007051766,0.000128331,0.00001315056,0.0001066564],"genre_scores_gemma":[0.8987629,0.00001919444,0.1006762,0.000007928899,0.0001066716,0.0003375468,0.00003238823,0.00001032238,0.00004677513],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8687739,"threshold_uncertainty_score":0.7217278,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02309597311807809,"score_gpt":0.2726357101568076,"score_spread":0.2495397370387295,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}