{"id":"W2003985678","doi":"10.3182/20090916-3-es-3003.00054","title":"Geometrical Properties of Optimal Hybrid System Trajectories and the Optimization of Switching Manifolds","year":2009,"lang":"en","type":"article","venue":"IFAC Proceedings Volumes","topic":"Advanced Control Systems Optimization","field":"Engineering","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Manifold (fluid mechanics); Euclidean space; Optimal control; Function (biology); Sensitivity (control systems); Displacement (psychology); Control theory (sociology); Bellman equation; Mathematical analysis; Topology (electrical circuits); Mathematical optimization; Computer science; Control (management); Engineering; Combinatorics","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":[0.0007463977,0.0005265594,0.0004798202,0.001333322,0.0005963464,0.001297802,0.0005518255,0.0006845079,0.005248679],"category_scores_gemma":[0.003514612,0.0003807538,0.0005124474,0.0005273636,0.001481651,0.001495185,0.0009559523,0.0007214689,0.00032974],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001284703,"about_ca_system_score_gemma":0.0006215243,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001690715,"about_ca_topic_score_gemma":0.0009424651,"domain_scores_codex":[0.9997739,0.00008943693,0.00001024901,0.00002904451,0.00007167015,0.00002569339],"domain_scores_gemma":[0.9990726,0.0004229988,0.0001800105,0.00006301274,0.000190621,0.00007074755],"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":[0.0001177964,0.00003081078,0.000852172,0.000061842,0.00002297191,0.00009063602,0.0001557881,0.4522347,0.003734592,0.527828,0.001485349,0.01338547],"study_design_scores_gemma":[0.00001569459,0.00006943924,0.0009026874,0.00001544915,0.000005866207,0.0000606973,0.00007824505,0.7575213,0.0007714916,0.239076,0.001463545,0.00001946114],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3470709,0.0006668027,0.6096985,0.001338944,0.00008948449,0.0001008047,0.0003135001,0.0002178023,0.04050331],"genre_scores_gemma":[0.9742295,0.0003463805,0.01960627,0.00005411889,0.00004130524,0.00007816545,0.0001815634,0.00008628732,0.005376386],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005248679,"threshold_uncertainty_score":0.01755852,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005119124921991428,"score_gpt":0.1734428939367193,"score_spread":0.1683237690147278,"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."}}