{"id":"https://openalex.org/W3011962568","doi":"https://doi.org/10.1109/cdc40024.2019.9029865","title":"Data-driven Stabilization of Nonlinear Systems via Tree-Based Ensemble Learning","display_name":"Data-driven Stabilization of Nonlinear Systems via Tree-Based Ensemble Learning","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3011962568","doi":"https://doi.org/10.1109/cdc40024.2019.9029865","mag":"3011962568"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029865","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029865","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022533685","display_name":"Alp Aydinoglu","orcid":"https://orcid.org/0000-0003-1763-562X"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alp Aydinoglu","raw_affiliation_strings":["Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022966275","display_name":"Cassiano O. Becker","orcid":"https://orcid.org/0000-0003-4280-7411"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cassiano O. Becker","raw_affiliation_strings":["Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057261458","display_name":"V\u00edctor M. Preciado","orcid":"https://orcid.org/0000-0001-9998-8730"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Victor M. Preciado","raw_affiliation_strings":["Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022533685"],"corresponding_institution_ids":["https://openalex.org/I79576946"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20125363,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"92","issue":null,"first_page":"2732","last_page":"2737"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6242485642433167},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5660014152526855},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5258886218070984},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.525009274482727},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5006918907165527},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.49516502022743225},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.48336952924728394},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46186333894729614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3744850754737854},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3298129737377167},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3283165693283081},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1421516239643097}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6242485642433167},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5660014152526855},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5258886218070984},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.525009274482727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5006918907165527},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.49516502022743225},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.48336952924728394},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46186333894729614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3744850754737854},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3298129737377167},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3283165693283081},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1421516239643097},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029865","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029865","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1042032463","https://openalex.org/W1480376833","https://openalex.org/W1482341360","https://openalex.org/W1519043595","https://openalex.org/W1561572740","https://openalex.org/W1570430800","https://openalex.org/W2019474388","https://openalex.org/W2040871222","https://openalex.org/W2045803758","https://openalex.org/W2057209393","https://openalex.org/W2077467972","https://openalex.org/W2085330455","https://openalex.org/W2102622811","https://openalex.org/W2107651130","https://openalex.org/W2118207876","https://openalex.org/W2133176659","https://openalex.org/W2146447376","https://openalex.org/W2155689575","https://openalex.org/W2156078565","https://openalex.org/W2761923184","https://openalex.org/W2790404719","https://openalex.org/W2793297853","https://openalex.org/W2807706315","https://openalex.org/W2889349388","https://openalex.org/W2892521964","https://openalex.org/W2911964244","https://openalex.org/W2963148914","https://openalex.org/W2963683522","https://openalex.org/W3101479673","https://openalex.org/W4232753567","https://openalex.org/W4297957988","https://openalex.org/W6745072325"],"related_works":["https://openalex.org/W2943623134","https://openalex.org/W2494523064","https://openalex.org/W2038416447","https://openalex.org/W2364151838","https://openalex.org/W2588219639","https://openalex.org/W2215759665","https://openalex.org/W2030292806","https://openalex.org/W4295007441","https://openalex.org/W5179970","https://openalex.org/W2037277714"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2,8,32,77,124],"approach":[3,23,155],"for":[4],"the":[5,28,58,63,66,73,87,107,116,137,140,144],"stabilization":[6,64,98,112,138],"of":[7,34,40,57,65,80,109,126,139,162],"unknown":[9],"nonlinear":[10,146],"dynamical":[11,51],"system":[12,29,52,70,147],"when":[13],"only":[14],"data":[15],"samples":[16],"from":[17],"its":[18],"dynamics":[19,30],"are":[20],"available.":[21],"Our":[22],"is":[24,48,121,148],"based":[25],"on":[26],"approximating":[27],"with":[31,106],"ensemble":[33,125],"regression":[35,127],"trees.":[36,128],"As":[37],"a":[38,45,49,55,97,101],"result":[39],"our":[41,119,154],"approximation,":[42],"we":[43,95,131,152],"obtain":[44],"model":[46,120,141],"that":[47,103,118,143],"piecewise-affine":[50],"defined":[53],"over":[54,160],"partition":[56],"state":[59,88],"space.":[60],"In":[61,129],"general,":[62],"resulting":[67],"piece-wise":[68],"affine":[69],"requires,":[71],"in":[72],"worst":[74],"case,":[75],"solving":[76],"exponential":[78],"number":[79,108],"linear":[81],"matrix":[82],"inequalities":[83],"(with":[84],"respect":[85],"to":[86],"dimension).":[89],"To":[90],"overcome":[91],"this":[92],"computational":[93],"limitation,":[94],"propose":[96],"procedure":[99,113],"having":[100],"complexity":[102],"grows":[104],"linearly":[105],"partitions.":[110],"This":[111],"explicitly":[114],"exploits":[115],"fact":[117],"described":[122],"via":[123],"addition,":[130],"derive":[132],"probabilistic":[133],"conditions":[134],"under":[135],"which":[136],"implies":[142],"original":[145],"also":[149],"stabilized.":[150],"Finally,":[151],"validate":[153],"by":[156],"performing":[157],"numerical":[158],"simulations":[159],"trajectories":[161],"two":[163],"coupled":[164],"Van":[165],"der":[166],"Pol":[167],"oscillators.":[168]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
