{"id":"https://openalex.org/W7214935214","doi":"https://doi.org/10.48550/arxiv.2609.36858","title":"Receding Horizon Control and Dissipativity - Optimal Control, Games and Uncertainty","display_name":"Receding Horizon Control and Dissipativity - Optimal Control, Games and Uncertainty","publication_year":2026,"publication_date":"2026-09-29","ids":{"openalex":"https://openalex.org/W7214935214","doi":"https://doi.org/10.48550/arxiv.2609.36858"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.36858","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.36858","pdf_url":"https://arxiv.org/pdf/2609.36858","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.36858","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5139302022","display_name":"Sophie Hall","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I4405255889","display_name":"Automatic Control Laboratory","ror":"https://ror.org/03hjcs512","country_code":"CH","type":"facility","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088","https://openalex.org/I4405255889"]},{"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":["CH","DE"],"is_corresponding":false,"raw_author_name":"Hall, Sophie","raw_affiliation_strings":["Department of Mathematics , University of Bayreuth , Universit\u00e4tsstra\u00dfe 30 , 95447 Bayreuth , Germany,","SH is with the Automatic Control Lab , ETH Z\u00fcrich , Physik- strasse 3 , 8092 Z\u00fcrich , Switzerland,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Bayreuth , Universit\u00e4tsstra\u00dfe 30 , 95447 Bayreuth , Germany,","institution_ids":["https://openalex.org/I54009628"]},{"raw_affiliation_string":"SH is with the Automatic Control Lab , ETH Z\u00fcrich , Physik- strasse 3 , 8092 Z\u00fcrich , Switzerland,","institution_ids":["https://openalex.org/I35440088","https://openalex.org/I4405255889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063298112","display_name":"Jonas Schie\u00dfl","orcid":"https://orcid.org/0009-0006-8879-4037","observed_orcids":["https://orcid.org/0009-0006-8879-4037"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Schie\u00dfl, Jonas","raw_affiliation_strings":["JS is with the"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"JS is with the","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006692330","display_name":"Sergio Grammatico","orcid":"https://orcid.org/0000-0002-6021-2350","observed_orcids":["https://orcid.org/0000-0002-6021-2350"]},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Grammatico, Sergio","raw_affiliation_strings":["SG is with the Delft Center for Systems and Control , Delft University of Technology , Mekelweg 2 , 2628 CD Delft , Netherlands ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SG is with the Delft Center for Systems and Control , Delft University of Technology , Mekelweg 2 , 2628 CD Delft , Netherlands ,","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054359566","display_name":"Timm Faulwasser","orcid":"https://orcid.org/0000-0002-6892-7406","observed_orcids":["https://orcid.org/0000-0002-6892-7406"]},"institutions":[{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Faulwasser, Timm","raw_affiliation_strings":["TF is with the Institute of Control Systems , Hamburg Univer- sity of Technology , Harburger Schlo\u00dfstra\u00dfe 22a , 21079 Hamburg , Germany,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TF is with the Institute of Control Systems , Hamburg Univer- sity of Technology , Harburger Schlo\u00dfstra\u00dfe 22a , 21079 Hamburg , Germany,","institution_ids":["https://openalex.org/I884043246"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"model predictive control","score":0.9929999709129333},{"id":"https://openalex.org/keywords/dissipativity-theory","display_name":"dissipativity theory","score":0.921999990940094},{"id":"https://openalex.org/keywords/turnpike-property","display_name":"turnpike property","score":0.9959999918937683},{"id":"https://openalex.org/keywords/multi-agent-control","display_name":"multi-agent control","score":0.6299999952316284},{"id":"https://openalex.org/keywords/game-theoretic-control","display_name":"game-theoretic control","score":0.7429999709129333},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"stochastic control","score":0.6389999985694885},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.6489999890327454},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6370000243186951},{"id":"https://openalex.org/keywords/constraint-handling","display_name":"constraint handling","score":0.7239999771118164},{"id":"https://openalex.org/keywords/uncertainty","display_name":"uncertainty","score":0.6349999904632568}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5396999716758728},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5128999948501587},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.5012000203132629},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5008000135421753},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4887999892234802},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4880000054836273},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.47130000591278076},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4596000015735626},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4530999958515167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38350000977516174},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3765000104904175},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.375},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.3330000042915344},{"id":"https://openalex.org/C138101251","wikidata":"https://www.wikidata.org/wiki/Q213092","display_name":"Thread (computing)","level":2,"score":0.3230000138282776},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.304500013589859},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.2867000102996826},{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.2847999930381775},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.27570000290870667},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.2736999988555908},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.2700999975204468},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C146930158","wikidata":"https://www.wikidata.org/wiki/Q656416","display_name":"Extensive-form game","level":4,"score":0.2612000107765198},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.25940001010894775}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.36858","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.36858","pdf_url":"https://arxiv.org/pdf/2609.36858","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.36858","doi":"https://doi.org/10.48550/arxiv.2609.36858","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.36858","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.36858","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.36858","pdf_url":"https://arxiv.org/pdf/2609.36858","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214935214.pdf","grobid_xml":"https://content.openalex.org/works/W7214935214.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W4416020901","https://openalex.org/W4416529470","https://openalex.org/W7101380706","https://openalex.org/W7134825881","https://openalex.org/W7154246170","https://openalex.org/W7155160425","https://openalex.org/W7160296992","https://openalex.org/W7161026860"],"related_works":["https://openalex.org/W7116996943","https://openalex.org/W7101380706","https://openalex.org/W7167603611","https://openalex.org/W7161026860","https://openalex.org/W4220716775","https://openalex.org/W2096229523","https://openalex.org/W2085148928","https://openalex.org/W2282793296","https://openalex.org/W2079069728","https://openalex.org/W615449195"],"abstract_inverted_index":{"We":[0,16,102,112],"provide":[1],"a":[2,29,60,117],"tutorial":[3],"overview":[4,78],"of":[5,20,28,33,42,79,119],"receding":[6],"horizon":[7],"control":[8,23],"across":[9,66,95],"deterministic,":[10],"stochastic,":[11],"multi-agent,":[12],"and":[13,35,51,63,86,92,99],"game-theoretic":[14],"settings.":[15,101],"contrast":[17],"the":[18,26,40,52,73],"minimizer":[19],"an":[21,77],"optimal":[22],"problem":[24],"with":[25],"equilibrium":[27],"game":[30,97],"in":[31,90,107],"terms":[32],"cost":[34],"constraint":[36],"handling":[37],"to":[38,58,75,116],"motivate":[39],"difference":[41],"MPC":[43],"schemes":[44],"involving":[45],"multiple":[46],"agents/players.":[47],"Interestingly,":[48],"dissipativity":[49,91],"theory":[50],"turnpike":[53,93],"property":[54],"have":[55],"turned":[56],"out":[57],"be":[59],"unifying":[61],"thread":[62],"system-theoretic":[64],"backbone":[65],"all":[67],"these":[68],"schemes.":[69],"This":[70],"paper":[71],"is":[72],"first":[74],"give":[76],"results,":[80],"summarizing":[81],"fundamental":[82],"insights,":[83],"drawing":[84],"parallels,":[85],"highlighting":[87],"technical":[88],"differences":[89],"analysis":[94],"economic,":[96],"theoretic,":[98],"stochastic":[100],"also":[103],"explore":[104],"recent":[105],"trends":[106],"numerical":[108],"methods":[109],"for":[110],"games.":[111],"conclude":[113],"by":[114],"pointing":[115],"list":[118],"open":[120],"challenges.":[121]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-01T00:00:00"}