{"id":"W2901419803","doi":"10.5539/jmr.v10n6p63","title":"Optimal Control and Necessary Optimality Conditions for Nonlinear and Perturbed Dynamic Problems","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Uniqueness; Optimal control; Nonlinear system; Mathematical optimization; Applied mathematics; Partial differential equation; Order (exchange); Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004496141,0.0001264785,0.0004470309,0.0002338478,0.0002897248,0.0001422647,0.0001931362,0.00009471888,0.00006308479],"category_scores_gemma":[0.003646203,0.000091227,0.00009014521,0.0001700453,0.0004698376,0.0001634915,0.00008121917,0.0003449523,0.000002546575],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003870676,"about_ca_system_score_gemma":0.00008837831,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000274849,"about_ca_topic_score_gemma":0.000003800676,"domain_scores_codex":[0.9981446,0.0002565255,0.0006358729,0.000146577,0.0005153168,0.0003011189],"domain_scores_gemma":[0.9938427,0.00433199,0.0002955268,0.0001897623,0.001146128,0.000193899],"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":[0.00292349,0.01842011,0.0008488331,0.02004831,0.004667786,0.0001077742,0.03438667,0.0002312561,0.2377905,0.5763288,0.02595494,0.07829156],"study_design_scores_gemma":[0.002754771,0.002046484,0.0002681873,0.0003734511,0.0001715383,0.0001884527,0.00156577,0.416648,0.0006996955,0.574159,0.0009158991,0.0002088065],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.5629262,0.0001644195,0.4347373,0.001202772,0.00007365789,0.0005736013,0.00005895506,0.00001121733,0.0002518101],"genre_scores_gemma":[0.3948207,0.0000805066,0.6046437,0.00001947279,0.0001568099,0.00002532908,0.000001942484,0.00002587869,0.0002256966],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4164167,"threshold_uncertainty_score":0.4365109,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1591502481365555,"score_gpt":0.4888871511959644,"score_spread":0.3297369030594088,"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."}}