{"id":"W1969550758","doi":"10.3934/dcdsb.2010.13.305","title":"Eigenseries solutions to optimal control problem and controllability problems on hyperbolic PDEs","year":2009,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems - B","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Controllability; Optimal control; Mathematics; Applied mathematics; State (computer science); Hyperbolic partial differential equation; Terminal (telecommunication); Linear-quadratic-Gaussian control; Control (management); Mathematical analysis; Mathematical optimization; Partial differential equation; Computer science; Algorithm","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":[0.0003602961,0.0003575219,0.0007316403,0.00008864783,0.0002916853,0.0002705845,0.0001435095,0.0001764615,0.000009968807],"category_scores_gemma":[0.0001234245,0.0003129766,0.0001131997,0.0001538739,0.0001670454,0.0001619215,0.00002926525,0.0002264004,0.000008718739],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007592029,"about_ca_system_score_gemma":0.0000178806,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001466575,"about_ca_topic_score_gemma":0.0001857754,"domain_scores_codex":[0.9979354,0.000145017,0.0005759784,0.0005020329,0.0002492657,0.0005923038],"domain_scores_gemma":[0.9989138,0.0002329843,0.00005209367,0.0003545255,0.0001070507,0.0003395352],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.002763721,0.001730803,0.01903238,0.002015568,0.001788467,0.00002724839,0.01260407,0.2255637,0.07723366,0.4884605,0.0006697951,0.16811],"study_design_scores_gemma":[0.007733169,0.003193842,0.0844745,0.000428511,0.0004006431,0.00004460472,0.002126171,0.8845651,0.00006088795,0.01213572,0.002968143,0.001868706],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9604192,0.001262056,0.03188963,0.001924318,0.0001760708,0.002090244,0.0001997235,0.0004293177,0.001609485],"genre_scores_gemma":[0.9991978,0.00002810409,0.0001586208,0.000149424,0.00009724201,0.0002350424,0.00001927595,0.00002378716,0.0000906347],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6590014,"threshold_uncertainty_score":0.9999322,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006973180110595309,"score_gpt":0.1989573733161578,"score_spread":0.1919841932055625,"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."}}