{"id":"W4391398575","doi":"10.5539/jmr.v16n1p54","title":"Exponential Stability of Non-uniform Timoshenko Beam With Indefinite Damping Under Boundary Control","year":2024,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Timoshenko beam theory; Exponential stability; Mathematical analysis; Stability (learning theory); Exponential function; Boundary (topology); Beam (structure); Control theory (sociology); Control (management); Structural engineering; Nonlinear system","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003419352,0.0004949409,0.0003097674,0.0001935995,0.000271083,0.0003831661,0.0003522517,0.0004482162,0.001049742],"category_scores_gemma":[0.0008020339,0.0001183657,0.0002219118,0.0001148084,0.0007559846,0.0007132273,0.0006928411,0.0004290324,0.0001221811],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002274728,"about_ca_system_score_gemma":0.0002316882,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009130859,"about_ca_topic_score_gemma":0.0003516025,"domain_scores_codex":[0.9998912,0.00002630123,0.000004168728,0.00002592203,0.00003421904,0.00001817501],"domain_scores_gemma":[0.9998156,0.00006123721,0.0000479083,0.00001263427,0.00004717486,0.00001540554],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0005734347,0.00007489357,0.003360158,0.0003229704,0.00007039077,0.00059417,0.0007980668,0.2848865,0.4252419,0.2556241,0.0008382432,0.027615],"study_design_scores_gemma":[0.00003877479,0.0001371429,0.001088245,0.00001719535,0.00001380297,0.00006771815,0.00009962071,0.9656788,0.01636291,0.01564276,0.0008374469,0.00001562427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5033641,0.000551702,0.4829409,0.0003563799,0.00008279987,0.00002811916,0.00003332577,0.0001040791,0.01253852],"genre_scores_gemma":[0.9889024,0.0001792266,0.007557808,0.00004681911,0.00001550672,0.00004040812,0.00001493913,0.00001310364,0.003229764],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001049742,"threshold_uncertainty_score":0.003511667,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06110878074061523,"score_gpt":0.3247205776010875,"score_spread":0.2636117968604723,"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."}}