{"id":"W3032057537","doi":"10.1109/tcyb.2020.2991540","title":"Exponential Consensus of Linear Systems Over Switching Network: A Subspace Method to Establish Necessity and Sufficiency","year":2020,"lang":"en","type":"article","venue":"IEEE Transactions on Cybernetics","topic":"Distributed Control Multi-Agent Systems","field":"Computer Science","cited_by":18,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"NSW Cyber Security Network; National Natural Science Foundation of China","keywords":"Observability; Mathematics; Convergence (economics); Subspace topology; Rank condition; Simple (philosophy); Rank (graph theory); Matrix (chemical analysis); Sequence (biology); Linear system; Piecewise linear function; Exponential function; Manifold (fluid mechanics); Controllability; Complement (music); Reachability; Rate of convergence; Strongly connected component; Control theory (sociology); Applied mathematics; Computer science; Discrete mathematics; Algorithm; Combinatorics; Control (management); Key (lock); Mathematical analysis","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":[0.001843566,0.0008163168,0.0006802937,0.001151603,0.0004692283,0.0006632127,0.0006688846,0.000731944,0.00333333],"category_scores_gemma":[0.005051232,0.0002374147,0.0006104486,0.0007053756,0.00120874,0.001882066,0.001914339,0.001310672,0.0004023512],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004944027,"about_ca_system_score_gemma":0.0005674547,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007623418,"about_ca_topic_score_gemma":0.0005943595,"domain_scores_codex":[0.9991477,0.0004365641,0.00003805324,0.0001242577,0.0001837528,0.00006977149],"domain_scores_gemma":[0.9974629,0.001631522,0.0002012261,0.0001549457,0.000447977,0.0001015523],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009196443,0.00004759346,0.0007053088,0.0002776298,0.00004925671,0.0002799101,0.0003005585,0.4768583,0.01052963,0.4755009,0.001601143,0.03375776],"study_design_scores_gemma":[0.000004545769,0.00005371426,0.00008946389,0.00001144259,0.000004842274,0.00004156472,0.00004832387,0.9487975,0.0008659408,0.04913358,0.000941675,0.000007414388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01184251,0.0001868392,0.984264,0.0001504206,0.00001679963,0.00002940202,0.00003183823,0.00007609167,0.003402308],"genre_scores_gemma":[0.8841164,0.001215212,0.1081983,0.0001663692,0.0001294822,0.0003532998,0.0002199355,0.0001197268,0.005481133],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00333333,"threshold_uncertainty_score":0.01115108,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02443427645938489,"score_gpt":0.2677834996050981,"score_spread":0.2433492231457132,"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."}}