{"id":"W2065669835","doi":"10.1016/j.amc.2012.04.010","title":"Uniform exponential stability of first-order dynamic equations with several delays","year":2012,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Bounded function; Mathematics; Exponential function; Exponential stability; Equivalence (formal languages); Exponential growth; Mathematical analysis; Dynamic equation; Stability (learning theory); Applied mathematics; Exponential dichotomy; Differential equation; Discrete mathematics; Nonlinear system; Computer science; Physics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.001135395,0.0008551687,0.000682419,0.0007499115,0.0006032567,0.001268578,0.0009431478,0.0007178126,0.001746488],"category_scores_gemma":[0.006817734,0.0002655993,0.0005455478,0.0004521896,0.001502911,0.001522393,0.001354066,0.000993369,0.0001418775],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001300946,"about_ca_system_score_gemma":0.001144132,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005126442,"about_ca_topic_score_gemma":0.002224505,"domain_scores_codex":[0.999643,0.00009078185,0.0000187011,0.00008702856,0.00007821467,0.00008237357],"domain_scores_gemma":[0.9978837,0.001138581,0.0003462593,0.00009929008,0.0004325256,0.00009958092],"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":[0.0006202345,0.0001085243,0.001955833,0.0002443762,0.000105302,0.0004485007,0.0004646777,0.5925405,0.01748683,0.3720276,0.0008601415,0.01313757],"study_design_scores_gemma":[0.00002983395,0.00005817239,0.0004308909,0.000008743095,0.00001306977,0.00003612622,0.00003608869,0.9657946,0.001391941,0.03185971,0.0003271958,0.00001356924],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4497812,0.001459951,0.5280971,0.0009700998,0.0002058325,0.00005829784,0.0001355404,0.0001617114,0.0191303],"genre_scores_gemma":[0.9894314,0.00035205,0.003678196,0.00004490876,0.00003672428,0.00003852649,0.00004726671,0.00001832601,0.006352635],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005126442,"threshold_uncertainty_score":0.01019323,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0141338196852357,"score_gpt":0.2155745177036915,"score_spread":0.2014406980184558,"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."}}