{"id":"W2054490147","doi":"10.1016/s0167-6911(03)00155-5","title":"Real stability radii of linear time-invariant time-delay systems","year":2003,"lang":"en","type":"article","venue":"Systems & Control Letters","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"LTI system theory; Mathematics; Linear system; Stability (learning theory); Linear stability; Mathematical analysis; Complex plane; Control theory (sociology); Applied mathematics; Invariant (physics); Differential equation; Plane (geometry); Nonlinear system; Geometry; Physics; Computer science; Mathematical 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002667412,0.0003602313,0.001273865,0.0001387282,0.0001090822,0.00005873917,0.0003127413,0.0001847167,0.0002573582],"category_scores_gemma":[0.001201836,0.0003080955,0.0002977719,0.0002922112,0.0001173405,0.0001291804,0.00002670758,0.000266803,0.0003412481],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002133813,"about_ca_system_score_gemma":0.00008398932,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006231021,"about_ca_topic_score_gemma":0.000002761492,"domain_scores_codex":[0.9943538,0.002602344,0.001353721,0.0004929965,0.0006614997,0.0005356219],"domain_scores_gemma":[0.9956695,0.002165777,0.0007202541,0.001024611,0.0002093706,0.000210521],"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":[0.0001741407,0.000492143,0.001379868,0.001389457,0.0009974773,0.00002763881,0.0005900783,0.001081367,0.9067191,0.08553255,0.001446268,0.0001698411],"study_design_scores_gemma":[0.05664231,0.003674979,0.002206274,0.005055279,0.007290009,0.0007005139,0.002796336,0.7823634,0.0291391,0.06578838,0.03379918,0.01054423],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4957202,0.0002068918,0.4914347,0.0005503308,0.002001095,0.004300931,0.0002400081,0.0004244903,0.005121406],"genre_scores_gemma":[0.9841374,0.000002180908,0.01477803,0.0000788023,0.0002347647,0.0001828044,0.00001231887,0.00009405367,0.0004796544],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.87758,"threshold_uncertainty_score":0.9999371,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03489687853346745,"score_gpt":0.2912083567375213,"score_spread":0.2563114782040539,"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."}}