{"id":"W2949526266","doi":"10.48550/arxiv.1905.00509","title":"The regular indefinite linear quadratic optimal control problem: stabilizable case","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Optimal control; Modulo; Algebraic Riccati equation; Linear-quadratic regulator; Quadratic equation; Algebraic number; Riccati equation; Subspace topology; Applied mathematics; Stability (learning theory); Linear system; Control theory (sociology); Control (management); Mathematical optimization; Computer science; Discrete mathematics; Mathematical analysis; Differential equation","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005264654,0.0004479367,0.0005521056,0.0001231976,0.000392573,0.0001574191,0.0006486339,0.0004361469,0.00009972035],"category_scores_gemma":[0.000127624,0.0004295576,0.0003650043,0.0003046103,0.0002480182,0.000183135,0.0002837587,0.0009472531,0.0001550904],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003071195,"about_ca_system_score_gemma":0.0002083611,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002388918,"about_ca_topic_score_gemma":0.000673384,"domain_scores_codex":[0.9979346,0.0002580291,0.0004298634,0.0007172776,0.0001240695,0.0005361349],"domain_scores_gemma":[0.9972079,0.0007582157,0.0001430049,0.001488324,0.000232426,0.0001701458],"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":[0.00008740586,0.00006862293,0.0006467617,0.0002852912,0.0003080171,0.0001274138,0.0002038896,0.9864362,0.00002849848,0.01146134,0.00007299904,0.0002734823],"study_design_scores_gemma":[0.001372857,0.00006872334,0.0001009505,0.0000606729,0.0003403999,0.00001241919,0.0005405674,0.9838885,0.00002742,0.01224479,0.0008523603,0.0004903343],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6922075,0.0005618478,0.302512,0.0001576335,0.000713239,0.001640194,0.0001765946,0.0004640757,0.001566894],"genre_scores_gemma":[0.998714,0.0002016273,0.0002610405,0.00002344471,0.00008853792,0.00001301504,0.00003577068,0.00005377607,0.0006088063],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3065065,"threshold_uncertainty_score":0.9998156,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04085939739252142,"score_gpt":0.1688208371008352,"score_spread":0.1279614397083138,"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."}}