{"id":"W1852951723","doi":"","title":"以Bellman-Gronwall Inequality判斷雙線性回授控制系統穩定極限循環的存在性","year":2003,"lang":"zh","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"PID controller; Bilinear interpolation; Mathematics; Controller (irrigation); Chen; Mathematical economics; Pure mathematics; Discrete mathematics; Calculus (dental); Engineering; Mechanical engineering","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002927494,0.001379398,0.001631398,0.001372087,0.001077385,0.002970828,0.001881636,0.001683043,0.0169806],"category_scores_gemma":[0.007350947,0.0004466686,0.001119263,0.001693227,0.001809347,0.004637186,0.002297466,0.004926497,0.004516414],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002544795,"about_ca_system_score_gemma":0.00226915,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004424077,"about_ca_topic_score_gemma":0.002321159,"domain_scores_codex":[0.9984529,0.000418719,0.00007031829,0.0003174789,0.000535415,0.0002051349],"domain_scores_gemma":[0.9978465,0.001035739,0.0002060762,0.0001166011,0.0006700302,0.0001251247],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002289608,0.00004794424,0.000806377,0.001165703,0.00006456459,0.0005085084,0.0002792982,0.009778033,0.002409691,0.8386711,0.06473999,0.08129976],"study_design_scores_gemma":[0.00007840927,0.0002199091,0.001990601,0.0005555108,0.0001249677,0.001385416,0.0002968765,0.1417975,0.003427709,0.7089136,0.1410663,0.0001431195],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0197066,0.06732478,0.6362447,0.02502332,0.006264319,0.0003852526,0.002194851,0.0004217805,0.2424344],"genre_scores_gemma":[0.5493599,0.08958048,0.1952498,0.006178168,0.005499215,0.001882837,0.003377287,0.0007124369,0.1481598],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0169806,"threshold_uncertainty_score":0.05680573,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05799235829812695,"score_gpt":0.3261517708391491,"score_spread":0.2681594125410222,"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."}}