{"id":"https://openalex.org/W4404608331","doi":"https://doi.org/10.1109/tac.2024.3504352","title":"On the Relationship Between Stochastic Turnpike and Dissipativity Notions","display_name":"On the Relationship Between Stochastic Turnpike and Dissipativity Notions","publication_year":2024,"publication_date":"2024-11-21","ids":{"openalex":"https://openalex.org/W4404608331","doi":"https://doi.org/10.1109/tac.2024.3504352"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3504352","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3504352","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-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/A5063298112","display_name":"Jonas Schie\u00dfl","orcid":"https://orcid.org/0009-0006-8879-4037"},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jonas Schie\u00dfl","raw_affiliation_strings":["Mathematical Institute, University of Bayreuth, Bayreuth, Germany","Mathematical Institute, University of Bayreuth, Germany"],"raw_orcid":"https://orcid.org/0009-0006-8879-4037","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Bayreuth, Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]},{"raw_affiliation_string":"Mathematical Institute, University of Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Michael H. Baumann","orcid":"https://orcid.org/0000-0003-2840-7286"},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael H. Baumann","raw_affiliation_strings":["Mathematical Institute, University of Bayreuth, Bayreuth, Germany","Mathematical Institute, University of Bayreuth, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2840-7286","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Bayreuth, Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]},{"raw_affiliation_string":"Mathematical Institute, University of Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054359566","display_name":"Timm Faulwasser","orcid":"https://orcid.org/0000-0002-6892-7406"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Timm Faulwasser","raw_affiliation_strings":["Institute for Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Dortmund, Germany","Institute for Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Germany"],"raw_orcid":"https://orcid.org/0000-0002-6892-7406","affiliations":[{"raw_affiliation_string":"Institute for Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"Institute for Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054568856","display_name":"Lars Gr\u00fcne","orcid":"https://orcid.org/0000-0002-9331-4097"},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lars Gr\u00fcne","raw_affiliation_strings":["Mathematical Institute, University of Bayreuth, Bayreuth, Germany","Mathematical Institute, University of Bayreuth, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9331-4097","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Bayreuth, Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]},{"raw_affiliation_string":"Mathematical Institute, University of Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4064,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6651103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"70","issue":"6","first_page":"3527","last_page":"3539"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.8675000071525574,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.8675000071525574,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4860432744026184},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4830930233001709},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4380716383457184},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4290349781513214},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42826539278030396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3828126788139343},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36165952682495117},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1706453263759613},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11801162362098694},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0989442765712738}],"concepts":[{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4860432744026184},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4830930233001709},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4380716383457184},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4290349781513214},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42826539278030396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3828126788139343},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36165952682495117},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1706453263759613},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11801162362098694},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0989442765712738}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3504352","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3504352","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6393751202","display_name":"Stochastische Optimale Steuerung und MPC  Dissipativit\u00e4t, Risiko und Regelg\u00fcte","funder_award_id":"499435839","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1209334740","https://openalex.org/W1963883253","https://openalex.org/W1971804534","https://openalex.org/W1995522593","https://openalex.org/W1995713768","https://openalex.org/W2002142848","https://openalex.org/W2011404059","https://openalex.org/W2017170340","https://openalex.org/W2021469018","https://openalex.org/W2046534870","https://openalex.org/W2061042537","https://openalex.org/W2076467525","https://openalex.org/W2085148928","https://openalex.org/W2095477585","https://openalex.org/W2138447111","https://openalex.org/W2141354966","https://openalex.org/W2604640182","https://openalex.org/W2606449094","https://openalex.org/W2613633283","https://openalex.org/W2613694435","https://openalex.org/W2805265392","https://openalex.org/W2963512246","https://openalex.org/W3015724939","https://openalex.org/W3037904587","https://openalex.org/W3134515582","https://openalex.org/W3197365970","https://openalex.org/W4206105733","https://openalex.org/W4206497039","https://openalex.org/W4210624614","https://openalex.org/W4220716775","https://openalex.org/W4226301194","https://openalex.org/W4233762729","https://openalex.org/W4237860500","https://openalex.org/W4289927812","https://openalex.org/W4296849093","https://openalex.org/W4310859960","https://openalex.org/W4383505302","https://openalex.org/W4391021403","https://openalex.org/W4407951735","https://openalex.org/W6775347219"],"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/W2979526210","https://openalex.org/W1997414638","https://openalex.org/W2031091109","https://openalex.org/W2049254832"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,69,129],"introduce":[4],"and":[5,10,37,57,94,98,128],"study":[6],"different":[7,11,72,135],"dissipativity":[8,24,119],"notions":[9,25,120],"turnpike":[12,43,53,63,126],"properties":[13,44,127],"for":[14,49,65],"discrete-time":[15],"stochastic":[16,23,42,104,125],"nonlinear":[17],"optimal":[18,105],"control":[19,106],"problems.":[20],"The":[21],"proposed":[22,118],"extend":[26],"the":[27,62,66,83,100,103,117,123,132],"classic":[28],"notion":[29],"of":[30,102,137],"Jan":[31],"C.":[32],"Willems":[33],"to$\\mathit":[34],"{L^{r}}$random":[35],"variables":[36,51,97],"to":[38,61,122],"probability":[39,56,59],"measures.":[40],"Our":[41,85],"range":[45],"from":[46],"a":[47,109],"formulation":[48,101],"random":[50,96],"via":[52],"phenomena":[54],"in":[55,58,82,92,95],"measures":[60],"property":[64],"moments.":[67],"Moreover,":[68],"investigate":[70,115],"how":[71,116],"metrics":[73],"(such":[74],"as":[75,108],"Wasserstein":[76],"or":[77],"L\u00e9vy\u2013Prokhorov)":[78],"can":[79],"be":[80],"leveraged":[81],"analysis.":[84],"results":[86],"are":[87],"built":[88],"upon":[89],"stationarity":[90],"concepts":[91],"distribution":[93],"on":[99],"problem":[107],"finite-horizon":[110],"Markov":[111],"decision":[112],"process.":[113],"We":[114],"connect":[121],"various":[124],"work":[130],"out":[131],"link":[133],"between":[134],"forms":[136],"dissipativity.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
