{"id":"https://openalex.org/W7161176213","doi":"https://doi.org/10.48550/arxiv.2605.13529","title":"Decentralized Frequency-Domain Conditions for D-Stability with Application to DC Microgrids","display_name":"Decentralized Frequency-Domain Conditions for D-Stability with Application to DC Microgrids","publication_year":2026,"publication_date":"2026-05-13","ids":{"openalex":"https://openalex.org/W7161176213","doi":"https://doi.org/10.48550/arxiv.2605.13529"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.13529","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.13529","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.13529","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086919243","display_name":"Zelin Sun","orcid":"https://orcid.org/0009-0001-8735-4260"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sun, Zelin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136105130","display_name":"Shanshan Jiang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiang, Shanshan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136105281","display_name":"Xiaoyu Peng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peng, Xiaoyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136090407","display_name":"Xiang Zhu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhu, Xiang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136129197","display_name":"Xiuqiang He","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"He, Xiuqiang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136116553","display_name":"Hua Geng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Geng, Hua","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.23010000586509705,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.23010000586509705,"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/T10305","display_name":"Power System Optimization and Stability","score":0.21709999442100525,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.07810000330209732,"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/stability","display_name":"Stability (learning theory)","score":0.579200029373169},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49079999327659607},{"id":"https://openalex.org/keywords/decentralised-system","display_name":"Decentralised system","score":0.4828000068664551},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.48179998993873596},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4512999951839447},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.44510000944137573},{"id":"https://openalex.org/keywords/model-transformation","display_name":"Model transformation","score":0.34470000863075256}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6003000140190125},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.579200029373169},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49079999327659607},{"id":"https://openalex.org/C205875254","wikidata":"https://www.wikidata.org/wiki/Q17156857","display_name":"Decentralised system","level":3,"score":0.4828000068664551},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.48179998993873596},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4512999951839447},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.44510000944137573},{"id":"https://openalex.org/C2779791154","wikidata":"https://www.wikidata.org/wiki/Q258040","display_name":"Model transformation","level":3,"score":0.34470000863075256},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.329800009727478},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.32919999957084656},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3287999927997589},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31850001215934753},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3156999945640564},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3098999857902527},{"id":"https://openalex.org/C71745522","wikidata":"https://www.wikidata.org/wiki/Q2476929","display_name":"Confidentiality","level":2,"score":0.3095000088214874},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.289900004863739},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.26589998602867126},{"id":"https://openalex.org/C2778059551","wikidata":"https://www.wikidata.org/wiki/Q51815044","display_name":"Grid code","level":4,"score":0.26339998841285706},{"id":"https://openalex.org/C2986605239","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Numerical models","level":3,"score":0.26330000162124634}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.13529","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.13529","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.13529","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.13529","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.564232349395752}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,80],"paper":[1],"proposes":[2],"a":[3,89,102],"decentralized":[4,107],"method":[5,81],"for":[6,106],"regional":[7],"pole":[8,45],"placement,":[9],"or":[10,77],"$\\mathcal{D}$-stability,":[11],"in":[12],"linearized":[13],"networked":[14],"systems.":[15],"Existing":[16],"LMI-based":[17],"methods":[18],"are":[19],"hindered":[20],"by":[21],"confidentiality":[22],"concerns":[23],"regarding":[24],"proprietary":[25],"subsystem":[26,75],"models":[27,76],"and":[28,52],"the":[29,40,58,96,113,116],"absence":[30],"of":[31,44,98,115],"communication":[32],"infrastructures.":[33],"To":[34],"overcome":[35],"these":[36],"barriers,":[37],"we":[38],"map":[39],"target":[41],"region":[42],"$\\mathcal{D}$":[43],"placement":[46],"to":[47,56,85,94],"an":[48],"auxiliary":[49],"left-half":[50],"plane":[51],"introduce":[53],"positive":[54],"functions":[55],"handle":[57],"resulting":[59],"complex-coefficient":[60],"dynamics.":[61],"We":[62],"prove":[63],"that":[64],"$\\mathcal{D}$-stability":[65],"is":[66,82,92],"guaranteed":[67],"via":[68],"local":[69],"frequency-domain":[70],"criteria":[71],"without":[72],"requiring":[73],"shared":[74],"inter-subsystem":[78],"communication.":[79],"then":[83],"tailored":[84],"DC":[86],"microgrids,":[87],"where":[88],"loop":[90],"transformation":[91],"utilized":[93],"reallocate":[95],"burden":[97],"stability":[99],"certification,":[100],"deriving":[101],"broadcastable":[103],"grid":[104],"code":[105],"parameter":[108],"synthesis.":[109],"Numerical":[110],"examples":[111],"verify":[112],"efficacy":[114],"proposed":[117],"method.":[118]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-15T00:00:00"}
