{"id":"W4224014558","doi":"10.1016/j.aml.2022.108127","title":"Exponential stability for a system of second and first order delay differential equations","year":2022,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Exponential stability; Order (exchange); Exponential growth; Delay differential equation; Differential equation; Exponential function; Stability (learning theory); Mathematical analysis; Exponential decay; Control theory (sociology); Control (management); Nonlinear system; 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":[0.0002371961,0.0001592287,0.0003271513,0.00007369613,0.0002647405,0.00002764402,0.0001519179,0.00003810426,0.0003922091],"category_scores_gemma":[0.00004116073,0.0001753016,0.00008950469,0.0001279397,0.00008121737,0.00004137863,0.00007797263,0.0001176613,0.000001731203],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009973843,"about_ca_system_score_gemma":0.00001499221,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005964743,"about_ca_topic_score_gemma":0.00005949186,"domain_scores_codex":[0.9988793,0.00001838694,0.000463938,0.0002024157,0.0002280345,0.0002079891],"domain_scores_gemma":[0.9988767,0.0006311099,0.00008534714,0.0003178437,0.00003763808,0.0000513525],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002200696,0.001062478,0.00009979962,0.01193265,0.0008478042,0.000001047639,0.02294111,0.02914946,0.7155274,0.2156971,0.0009474775,0.00157364],"study_design_scores_gemma":[0.005848628,0.0001722954,0.0005143246,0.000053314,0.000611749,0.000008702278,0.01157773,0.9601628,0.01078525,0.008407244,0.000831128,0.001026866],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5418511,0.00001471278,0.4568151,0.00009919658,0.0001200966,0.0006908474,0.0001674219,0.00009114164,0.0001503461],"genre_scores_gemma":[0.992357,4.998526e-7,0.006581902,0.0000257812,0.00003408411,0.0009225279,0.00004517492,0.0000282732,0.000004714228],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9310133,"threshold_uncertainty_score":0.7148593,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01421173016446825,"score_gpt":0.190900658148899,"score_spread":0.1766889279844307,"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."}}