{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006442773,0.0007012666,0.000627148,0.0006585082,0.0003796275,0.001676186,0.000467263,0.0008242874,0.002427624],"category_scores_gemma":[0.00354544,0.0002341673,0.0003944731,0.000698083,0.0009275621,0.0008813101,0.001199062,0.0009541338,0.0001685188],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006131557,"about_ca_system_score_gemma":0.0007053672,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002194178,"about_ca_topic_score_gemma":0.001173508,"domain_scores_codex":[0.9997848,0.00007351168,0.00001136691,0.00004217119,0.00006043804,0.00002786376],"domain_scores_gemma":[0.9985797,0.0008612141,0.0001312125,0.00004096506,0.0003333882,0.00005349937],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002428815,0.00008743633,0.001428658,0.0002602445,0.00007790459,0.00022522,0.0006170823,0.5131894,0.01383711,0.4277368,0.002198352,0.04009892],"study_design_scores_gemma":[0.00001255,0.00002895721,0.0002317606,0.00001248917,0.000007156471,0.00004418417,0.00005041864,0.9293488,0.0006372404,0.06848152,0.001133765,0.0000110556],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1654839,0.004063572,0.8057937,0.001766057,0.0004552649,0.00006022747,0.0001233852,0.0001421504,0.02211186],"genre_scores_gemma":[0.9738969,0.001462896,0.01089841,0.00008816322,0.0001459259,0.00005716868,0.00005788666,0.00003629973,0.01335641],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002427624,"threshold_uncertainty_score":0.008121252,"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."}}