{"id":"https://openalex.org/W7204165831","doi":"https://doi.org/10.48550/arxiv.2608.22382","title":"Distributed model predictive control via finite-step control Lyapunov functions","display_name":"Distributed model predictive control via finite-step control Lyapunov functions","publication_year":2026,"publication_date":"2026-08-23","ids":{"openalex":"https://openalex.org/W7204165831","doi":"https://doi.org/10.48550/arxiv.2608.22382"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.22382","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.22382","pdf_url":"https://arxiv.org/pdf/2608.22382","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","license_id":"https://openalex.org/licenses/cc-by","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/2608.22382","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032077951","display_name":"Navid Noroozi","orcid":"https://orcid.org/0000-0002-9399-9938","observed_orcids":["https://orcid.org/0000-0002-9399-9938"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Noroozi, Navid","raw_affiliation_strings":["is with SIGNON Deutschland GmbH (DB InfraGO AG) , Europaplatz 2 , 10557 Berlin , Germany,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"is with SIGNON Deutschland GmbH (DB InfraGO AG) , Europaplatz 2 , 10557 Berlin , Germany,","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014762327","display_name":"Maryam Sharifi","orcid":"https://orcid.org/0000-0003-0525-7916","observed_orcids":["https://orcid.org/0000-0003-0525-7916"]},"institutions":[{"id":"https://openalex.org/I4210086503","display_name":"ABB (Sweden)","ror":"https://ror.org/0033n4009","country_code":"SE","type":"company","lineage":["https://openalex.org/I4210086503","https://openalex.org/I885143765"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Sharifi, Maryam","raw_affiliation_strings":["ABB Corporate Research , V\u00e4ster\u00e5s , Sweden,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ABB Corporate Research , V\u00e4ster\u00e5s , Sweden,","institution_ids":["https://openalex.org/I4210086503"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":9.999999747378752e-05,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":9.999999747378752e-05,"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/distributed-model-predictive-control","display_name":"distributed model predictive control","score":0.9990000128746033},{"id":"https://openalex.org/keywords/small-gain-condition","display_name":"small-gain condition","score":0.8989999890327454},{"id":"https://openalex.org/keywords/recursive-feasibility","display_name":"recursive feasibility","score":0.8199999928474426},{"id":"https://openalex.org/keywords/constraint-tightening","display_name":"constraint tightening","score":0.49300000071525574},{"id":"https://openalex.org/keywords/dc-dc-converter","display_name":"DC-DC converter","score":0.8410000205039978},{"id":"https://openalex.org/keywords/dc-microgrid","display_name":"DC microgrid","score":0.7889999747276306},{"id":"https://openalex.org/keywords/current-sharing","display_name":"current sharing","score":0.9380000233650208}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.6735000014305115},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6513000130653381},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6428999900817871},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5486999750137329},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5356000065803528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.524399995803833},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.4738999903202057},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4383000135421753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4230000078678131},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.421099990606308},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.399399995803833},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.3984000086784363},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.3799000084400177},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3346000015735626},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.33070001006126404},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.3255000114440918},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.31450000405311584},{"id":"https://openalex.org/C2777735972","wikidata":"https://www.wikidata.org/wiki/Q1061967","display_name":"Platoon","level":3,"score":0.3012999892234802},{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.2847999930381775},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.2840000092983246},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.26739999651908875},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.26440000534057617},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.26190000772476196},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.26170000433921814},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2549999952316284},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.25119999051094055}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.22382","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.22382","pdf_url":"https://arxiv.org/pdf/2608.22382","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.22382","doi":"https://doi.org/10.48550/arxiv.2608.22382","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.22382","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.22382","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.22382","pdf_url":"https://arxiv.org/pdf/2608.22382","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204165831.pdf","grobid_xml":"https://content.openalex.org/works/W7204165831.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2614958423","https://openalex.org/W2160560963","https://openalex.org/W4361029879","https://openalex.org/W2491049486","https://openalex.org/W2793551578","https://openalex.org/W2606103601","https://openalex.org/W2027458824","https://openalex.org/W2570330640","https://openalex.org/W2169374927","https://openalex.org/W172135752"],"abstract_inverted_index":{"As":[0,41],"opposed":[1],"to":[2,51,197,206,217],"classical":[3],"converse":[4,8,37,133],"Lyapunov":[5,39,101,184],"theorems,":[6],"finite-step":[7,38,99,113],"results":[9],"are":[10,158],"constructive":[11],"and":[12,111,162,169,180,192,210,220],"offer":[13],"a":[14,36,62,96,112,149,181,232,238],"different":[15],"starting":[16],"point:":[17],"for":[18,42,68,155,166],"sufficiently":[19],"large":[20],"finite":[21],"step":[22,85],"ahead,":[23],"say":[24],"$M$,":[25],"in":[26,93,160,231],"an":[27,163],"explicit":[28],"sense,":[29],"any":[30],"scaled":[31],"norm":[32],"can":[33],"serve":[34],"as":[35],"function.":[40],"interconnected":[43,70],"discrete-time":[44,72],"systems,":[45],"similar":[46],"lines":[47],"of":[48,95],"argument":[49],"lead":[50],"``non-conservative''":[52],"small-gain":[53,114],"conditions.":[54],"Motivated":[55],"by":[56,87,127],"this":[57,59],"viewpoint,":[58],"paper":[60],"develops":[61],"distributed":[63],"model":[64],"predictive":[65],"control":[66,98],"framework":[67,214],"constrained":[69,200],"nonlinear":[71],"systems.":[73],"Each":[74],"subsystem":[75],"solves":[76],"one":[77],"local":[78,90,97,150],"optimization":[79],"problem":[80],"at":[81],"each":[82],"system":[83],"time":[84],"instant":[86],"setting":[88],"the":[89,124,131,167,190,203],"stage":[91],"function":[92],"form":[94],"like":[100],"function,":[102],"using":[103],"time-aligned":[104],"neighbor":[105,119],"predictions,":[106],"optimized":[107],"state-constraint":[108],"tightening":[109],"radii,":[110],"terminal":[115,152,221],"inequality.":[116],"Since":[117],"received":[118],"predictions":[120],"need":[121],"not":[122,136],"equal":[123],"trajectories":[125],"generated":[126],"future":[128],"receding-horizon":[129],"optimizations,":[130],"nominal":[132],"certificates":[134],"do":[135],"alone":[137],"ensure":[138],"recursive":[139,176],"feasibility":[140,153],"or":[141],"stability.":[142],"We":[143],"therefore":[144],"develop":[145],"shift-compatible":[146],"constraint":[147,178],"margins,":[148],"one-step":[151],"test":[154],"networks":[156],"that":[157],"affine":[159],"control,":[161],"analytical":[164],"bound":[165,195],"prediction":[168,191],"reoptimization":[170,193],"mismatch.":[171],"The":[172,213],"resulting":[173],"analysis":[174],"gives":[175],"feasibility,":[177],"satisfaction,":[179],"practical":[182],"$M$-step":[183],"estimate,":[185],"with":[186],"asymptotic":[187],"convergence":[188],"when":[189],"mismatch":[194],"tends":[196],"zero.":[198],"For":[199],"linear":[201],"networks,":[202],"conditions":[204],"reduce":[205],"finite-dimensional":[207],"matrix,":[208],"QP,":[209],"SOCP":[211],"tests.":[212],"is":[215],"specialized":[216],"current":[218],"sharing":[219],"bus":[222],"voltage":[223],"safety":[224],"under":[225],"DC/DC":[226],"power":[227],"converters'":[228],"operational":[229],"constraints":[230],"two-DGU":[233],"DC":[234],"microgrid":[235],"evaluated":[236],"on":[237],"small":[239],"laboratory-scale":[240],"prototype.":[241]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-08-26T00:00:00"}