{"id":"https://openalex.org/W2967116690","doi":"https://doi.org/10.23919/ecc.2019.8796095","title":"A symbolic approach to voltage stability and power sharing in time-varying DC microgrids","display_name":"A symbolic approach to voltage stability and power sharing in time-varying DC microgrids","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W2967116690","doi":"https://doi.org/10.23919/ecc.2019.8796095","mag":"2967116690"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2019.8796095","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2019.8796095","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 18th European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-02070070","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074805948","display_name":"Daniele Zonetti","orcid":"https://orcid.org/0000-0003-3021-5638"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210104198","display_name":"Laboratoire Sp\u00e9cification et V\u00e9rification","ror":"https://ror.org/01kz1bj67","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210104198","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Daniele Zonetti","raw_affiliation_strings":["CNRS, ENS Paris-Saclay, Laboratoire Sp\u00e9cification et V\u00e9rification, Cachan Cedex, France","LSV - Laboratoire Sp\u00e9cification et V\u00e9rification [Cachan] (B\u00e2timent d'Alembert 61 Avenue du Pr\u00e9sident Wilson 94235 CACHAN CEDEX - France)","CNRS - Centre National de la Recherche Scientifique (France)"],"affiliations":[{"raw_affiliation_string":"CNRS, ENS Paris-Saclay, Laboratoire Sp\u00e9cification et V\u00e9rification, Cachan Cedex, France","institution_ids":["https://openalex.org/I4210104198","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LSV - Laboratoire Sp\u00e9cification et V\u00e9rification [Cachan] (B\u00e2timent d'Alembert 61 Avenue du Pr\u00e9sident Wilson 94235 CACHAN CEDEX - France)","institution_ids":["https://openalex.org/I4210104198"]},{"raw_affiliation_string":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047106878","display_name":"Adnane Saoud","orcid":"https://orcid.org/0000-0003-4423-3052"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210104198","display_name":"Laboratoire Sp\u00e9cification et V\u00e9rification","ror":"https://ror.org/01kz1bj67","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210104198","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Adnane Saoud","raw_affiliation_strings":["CNRS, CentraleSup\u00e9lec, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette Cedex, France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","LSV - Laboratoire Sp\u00e9cification et V\u00e9rification [Cachan] (B\u00e2timent d'Alembert 61 Avenue du Pr\u00e9sident Wilson 94235 CACHAN CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"CNRS, CentraleSup\u00e9lec, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette Cedex, France","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I277688954","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]},{"raw_affiliation_string":"LSV - Laboratoire Sp\u00e9cification et V\u00e9rification [Cachan] (B\u00e2timent d'Alembert 61 Avenue du Pr\u00e9sident Wilson 94235 CACHAN CEDEX - France)","institution_ids":["https://openalex.org/I4210104198"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081751699","display_name":"Antoine Girard","orcid":"https://orcid.org/0000-0002-4075-9041"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Antoine Girard","raw_affiliation_strings":["CNRS, CentraleSup\u00e9lec, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette Cedex, France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"CNRS, CentraleSup\u00e9lec, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette Cedex, France","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I277688954","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058799763","display_name":"Laurent Fribourg","orcid":"https://orcid.org/0000-0002-5562-4078"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210104198","display_name":"Laboratoire Sp\u00e9cification et V\u00e9rification","ror":"https://ror.org/01kz1bj67","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210104198","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Fribourg","raw_affiliation_strings":["CNRS, ENS Paris-Saclay, Laboratoire Sp\u00e9cification et V\u00e9rification, Cachan Cedex, France","MEXICO - Modeling and Exploitation of Interaction and Concurrency (LSV, ENS Cachan 61 av pr\u00e9sident Wilson 94235 Cachan cedex - France)","LSV - Laboratoire Sp\u00e9cification et V\u00e9rification [Cachan] (B\u00e2timent d'Alembert 61 Avenue du Pr\u00e9sident Wilson 94235 CACHAN CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"CNRS, ENS Paris-Saclay, Laboratoire Sp\u00e9cification et V\u00e9rification, Cachan Cedex, France","institution_ids":["https://openalex.org/I4210104198","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"MEXICO - Modeling and Exploitation of Interaction and Concurrency (LSV, ENS Cachan 61 av pr\u00e9sident Wilson 94235 Cachan cedex - France)","institution_ids":["https://openalex.org/I11559806"]},{"raw_affiliation_string":"LSV - Laboratoire Sp\u00e9cification et V\u00e9rification [Cachan] (B\u00e2timent d'Alembert 61 Avenue du Pr\u00e9sident Wilson 94235 CACHAN CEDEX - France)","institution_ids":["https://openalex.org/I4210104198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074805948"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210104198"],"apc_list":null,"apc_paid":null,"fwci":2.527,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.89698999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"903","last_page":"909"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9886999726295471,"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/T10603","display_name":"Smart Grid Energy Management","score":0.9871000051498413,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.9235516786575317},{"id":"https://openalex.org/keywords/unobservable","display_name":"Unobservable","score":0.8274384140968323},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6814370155334473},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.6285076141357422},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6128261685371399},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6039859056472778},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5821707248687744},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5723958015441895},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5696772933006287},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.5285980701446533},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5266380310058594},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.5041822195053101},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.4555465281009674},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.43508586287498474},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4291412830352783},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3408326506614685},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.30609098076820374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18420392274856567},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16592741012573242},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09371715784072876}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.9235516786575317},{"id":"https://openalex.org/C2780695315","wikidata":"https://www.wikidata.org/wiki/Q3799040","display_name":"Unobservable","level":2,"score":0.8274384140968323},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6814370155334473},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.6285076141357422},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6128261685371399},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6039859056472778},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5821707248687744},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5723958015441895},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5696772933006287},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.5285980701446533},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5266380310058594},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.5041822195053101},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.4555465281009674},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.43508586287498474},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4291412830352783},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3408326506614685},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30609098076820374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18420392274856567},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16592741012573242},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09371715784072876},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2019.8796095","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2019.8796095","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 18th European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02070070v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02070070","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ECC 2019 - European control conference, Jun 2019, Naples, Italy. ⟨10.23919/ecc.2019.8796095⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02070070v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02070070","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ECC 2019 - European control conference, Jun 2019, Naples, Italy. ⟨10.23919/ecc.2019.8796095⟩","raw_type":"Conference papers"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6000000238418579}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1483893502","https://openalex.org/W1490423772","https://openalex.org/W1498432697","https://openalex.org/W1838714828","https://openalex.org/W2042835403","https://openalex.org/W2100945405","https://openalex.org/W2101159853","https://openalex.org/W2186178845","https://openalex.org/W2232335510","https://openalex.org/W2252715512","https://openalex.org/W2292798165","https://openalex.org/W2464343175","https://openalex.org/W2465361736","https://openalex.org/W2487779201","https://openalex.org/W2594675090","https://openalex.org/W2606257899","https://openalex.org/W2734700100","https://openalex.org/W2783315201","https://openalex.org/W2789981122","https://openalex.org/W2793577305","https://openalex.org/W2796365873","https://openalex.org/W2892196589","https://openalex.org/W2898323626","https://openalex.org/W2963000203","https://openalex.org/W3104168345","https://openalex.org/W6743244068"],"related_works":["https://openalex.org/W2149686805","https://openalex.org/W4294689033","https://openalex.org/W1978158123","https://openalex.org/W4226462367","https://openalex.org/W2008534419","https://openalex.org/W2967463586","https://openalex.org/W2082642870","https://openalex.org/W2378270039","https://openalex.org/W4246201196","https://openalex.org/W993532209"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,40,67],"address":[4],"the":[5,22,27,31,37,54,58,73,77,92,108],"problem":[6,79],"of":[7,33,36,72,85],"voltage":[8],"stability":[9],"and":[10,29,94,107],"power":[11,18],"sharing":[12],"in":[13,83],"DC":[14],"microgrids":[15],"with":[16,113],"time-varying":[17],"demand.":[19],"By":[20],"exploiting":[21],"monotonicity":[23],"property":[24],"enjoyed":[25],"by":[26,91],"system,":[28,56,74],"under":[30],"assumption":[32],"full":[34],"observability":[35],"bus":[38],"voltages,":[39],"design":[41],"a":[42,51],"centralized,":[43],"abstraction-based":[44],"symbolic":[45],"controller":[46,52],"that,":[47],"once":[48],"refined":[49],"into":[50],"for":[53],"original":[55],"ensures":[57],"required":[59],"specifications.":[60],"Whereas":[61],"load":[62],"voltages":[63],"cannot":[64],"be":[65,81,89],"measured,":[66],"propose":[68],"an":[69],"appropriate":[70],"decomposition":[71],"such":[75],"that":[76],"control":[78],"can":[80],"reformulated":[82],"terms":[84],"assume-guarantee":[86],"contracts":[87,103],"to":[88,100],"satisfied":[90],"observable":[93],"unobservable":[95],"components.":[96],"A":[97],"constructive":[98],"procedure":[99],"determine":[101],"suitable":[102],"is":[104],"further":[105],"investigated":[106],"obtained":[109],"results":[110],"are":[111],"validated":[112],"two":[114],"numerical":[115],"examples.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3}],"updated_date":"2026-04-22T08:38:42.863108","created_date":"2025-10-10T00:00:00"}