{"id":"https://openalex.org/W4407949332","doi":"https://doi.org/10.1109/cdc56724.2024.10886407","title":"Learning Stable and Passive Neural Differential Equations","display_name":"Learning Stable and Passive Neural Differential Equations","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4407949332","doi":"https://doi.org/10.1109/cdc56724.2024.10886407"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10886407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd 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/A5078397516","display_name":"Jing Cheng","orcid":"https://orcid.org/0000-0001-9098-8048"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]},{"id":"https://openalex.org/I4210127558","display_name":"Australian Centre for Robotic Vision","ror":"https://ror.org/02zv9xv82","country_code":"AU","type":"facility","lineage":["https://openalex.org/I4210127558"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Jing Cheng","raw_affiliation_strings":["The University of Sydney,Australian Centre for Robotics (ACFR), and the School of Aerospace, Mechanical and Mechatronic Engineering,Sydney,Australia,NSW 2006"],"affiliations":[{"raw_affiliation_string":"The University of Sydney,Australian Centre for Robotics (ACFR), and the School of Aerospace, Mechanical and Mechatronic Engineering,Sydney,Australia,NSW 2006","institution_ids":["https://openalex.org/I4210127558","https://openalex.org/I129604602"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101804818","display_name":"Ruigang Wang","orcid":"https://orcid.org/0000-0002-9954-4547"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]},{"id":"https://openalex.org/I4210127558","display_name":"Australian Centre for Robotic Vision","ror":"https://ror.org/02zv9xv82","country_code":"AU","type":"facility","lineage":["https://openalex.org/I4210127558"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ruigang Wang","raw_affiliation_strings":["The University of Sydney,Australian Centre for Robotics (ACFR), and the School of Aerospace, Mechanical and Mechatronic Engineering,Sydney,Australia,NSW 2006"],"affiliations":[{"raw_affiliation_string":"The University of Sydney,Australian Centre for Robotics (ACFR), and the School of Aerospace, Mechanical and Mechatronic Engineering,Sydney,Australia,NSW 2006","institution_ids":["https://openalex.org/I4210127558","https://openalex.org/I129604602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026600708","display_name":"Ian R. Manchester","orcid":"https://orcid.org/0000-0002-7035-3173"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]},{"id":"https://openalex.org/I4210127558","display_name":"Australian Centre for Robotic Vision","ror":"https://ror.org/02zv9xv82","country_code":"AU","type":"facility","lineage":["https://openalex.org/I4210127558"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ian R. Manchester","raw_affiliation_strings":["The University of Sydney,Australian Centre for Robotics (ACFR), and the School of Aerospace, Mechanical and Mechatronic Engineering,Sydney,Australia,NSW 2006"],"affiliations":[{"raw_affiliation_string":"The University of Sydney,Australian Centre for Robotics (ACFR), and the School of Aerospace, Mechanical and Mechatronic Engineering,Sydney,Australia,NSW 2006","institution_ids":["https://openalex.org/I4210127558","https://openalex.org/I129604602"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078397516"],"corresponding_institution_ids":["https://openalex.org/I129604602","https://openalex.org/I4210127558"],"apc_list":null,"apc_paid":null,"fwci":0.3637,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.71319316,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"7859","last_page":"7864"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9642999768257141,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9642999768257141,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5840314030647278},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5325962901115417},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4365779459476471},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33955466747283936},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.327020525932312},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31815654039382935},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30155766010284424},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21381819248199463},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10129919648170471}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5840314030647278},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5325962901115417},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4365779459476471},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33955466747283936},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.327020525932312},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31815654039382935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30155766010284424},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21381819248199463},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10129919648170471}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc56724.2024.10886407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W1997414638","https://openalex.org/W2031091109","https://openalex.org/W2049254832","https://openalex.org/W2383436541"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"introduce":[4],"a":[5,23,52,78,92],"novel":[6],"class":[7],"of":[8,44,87],"neural":[9],"differential":[10],"equation,":[11],"which":[12],"are":[13],"intrinsically":[14],"Lyapunov":[15,32,46],"stable,":[16],"exponentially":[17],"stable":[18],"or":[19,80],"passive.":[20],"We":[21,83],"take":[22],"recently":[24],"proposed":[25,89],"Polyak":[26],"Lojasiewicz":[27],"network":[28],"(PLNet)":[29],"as":[30,40,55],"an":[31],"function":[33],"and":[34,65],"then":[35],"parameterize":[36],"the":[37,41,45,56,61,85,88],"vector":[38],"field":[39],"descent":[42],"directions":[43],"function.":[47],"The":[48],"resulting":[49],"models":[50],"have":[51],"same":[53],"structure":[54],"general":[57],"Hamiltonian":[58,62],"dynamics,":[59],"where":[60],"is":[63,72],"lower-":[64],"upper-bounded":[66],"by":[67],"quadratic":[68],"functions.":[69],"Moreover,":[70],"it":[71],"also":[73],"positive":[74],"definite":[75],"w.r.t.":[76],"either":[77],"known":[79],"learnable":[81],"equilibrium.":[82],"illustrate":[84],"effectiveness":[86],"model":[90],"on":[91],"damped":[93],"double":[94],"pendulum":[95],"system.":[96]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-23T23:11:35.936235","created_date":"2025-10-10T00:00:00"}