{"id":"W2004853190","doi":"10.1109/cdc.2011.6161362","title":"Optimal control of a class of linear nonautonomous parabolic PDE via two-parameter semigroup representation","year":2011,"lang":"en","type":"article","venue":"","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Semigroup; Parabolic partial differential equation; Boundary value problem; Distributed parameter system; Partial differential equation; Mathematical analysis; Analytic semigroup; Representation (politics); Operator (biology); Boundary (topology); Applied mathematics","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":[0.0004425571,0.0003780534,0.0004159695,0.0001709941,0.0001939306,0.0006767071,0.0003910828,0.000502839,0.0006430461],"category_scores_gemma":[0.0007476125,0.0001390756,0.0003646848,0.0001232483,0.0009144477,0.0006160802,0.0007242734,0.000464895,0.00006278961],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003080898,"about_ca_system_score_gemma":0.0004995284,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004930482,"about_ca_topic_score_gemma":0.0002312744,"domain_scores_codex":[0.9998283,0.00007062162,0.000007934097,0.00003306025,0.00004333975,0.00001662916],"domain_scores_gemma":[0.9997743,0.0001044425,0.00004873709,0.0000171553,0.00003189956,0.00002340408],"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":[0.0001043719,0.0001087845,0.0006395346,0.0001529885,0.00003562915,0.0006241055,0.0003988919,0.4496326,0.05077629,0.4762541,0.0006886839,0.02058409],"study_design_scores_gemma":[0.00002678759,0.00008062312,0.000135248,0.000006573289,0.000004390425,0.00005287676,0.00003542057,0.9446875,0.001789882,0.05232104,0.0008484682,0.00001126365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1721929,0.0005073661,0.8195991,0.0003865278,0.00009728895,0.00004222709,0.00001943309,0.00006682135,0.007088372],"genre_scores_gemma":[0.9675477,0.0003157452,0.02806966,0.00004238879,0.0000424602,0.00008830446,0.00001946077,0.00001498563,0.003859335],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0006767071,"threshold_uncertainty_score":0.002340555,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0222499539890303,"score_gpt":0.2412699801042448,"score_spread":0.2190200261152145,"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."}}