{"id":"W2951410399","doi":"10.48550/arxiv.0907.0686","title":"Reduction Principles and the Stabilization of Closed Sets for Passive Systems","year":2009,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Control and Stability of Dynamical Systems","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Passivity; Control theory (sociology); Exponential stability; Invariant (physics); Stability theory; Reduction (mathematics); State space; Stability (learning theory); Mathematics; Dynamical systems theory; Set (abstract data type); State (computer science); Space (punctuation); Applied mathematics; Computer science; Control (management); Physics; Algorithm; Artificial intelligence; Engineering; Geometry; Mathematical physics; Statistics","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":[],"consensus_categories":[],"category_scores_codex":[0.0002724661,0.0001734127,0.0003884781,0.00006702657,0.00006345561,0.00003079761,0.0001770988,0.0001984862,0.000001718679],"category_scores_gemma":[0.00005210852,0.0001487823,0.0001388707,0.0001003924,0.0001227747,0.00006324731,0.00007048558,0.0001672142,5.599131e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001270455,"about_ca_system_score_gemma":0.00002604766,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001283285,"about_ca_topic_score_gemma":0.00007027259,"domain_scores_codex":[0.9991338,0.0001063905,0.000259144,0.0003044031,0.00005292143,0.0001433375],"domain_scores_gemma":[0.9991693,0.0001582431,0.0001517478,0.0003371492,0.0001340906,0.00004942729],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001543904,0.00001919081,0.0002023258,0.0007887094,0.0001106977,9.24441e-7,0.0002511932,0.9357727,0.000140677,0.06181623,0.00001548998,0.0007274213],"study_design_scores_gemma":[0.00120542,0.00003044311,0.001166712,0.0001216553,0.0001240368,0.000001419292,0.0003081225,0.9857382,0.00002297834,0.01091306,0.0002064432,0.0001614724],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8640765,0.0004395783,0.132493,0.00005754728,0.0005433061,0.00163453,0.00008688351,0.0001342634,0.000534414],"genre_scores_gemma":[0.9995536,0.0001777318,0.00004505945,0.000001390273,0.00006093294,0.000005828181,0.00003183106,0.00001340009,0.0001102509],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1354771,"threshold_uncertainty_score":0.6067168,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0421355354383695,"score_gpt":0.1699227914080541,"score_spread":0.1277872559696846,"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."}}