{"id":"https://openalex.org/W3141785485","doi":"https://doi.org/10.1109/cdc45484.2021.9682810","title":"Serial interconnections of 1-contracting and 2-contracting systems","display_name":"Serial interconnections of 1-contracting and 2-contracting systems","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W3141785485","doi":"https://doi.org/10.1109/cdc45484.2021.9682810","mag":"3141785485"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9682810","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9682810","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2104.00928","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034486968","display_name":"Ron Ofir","orcid":"https://orcid.org/0000-0003-0611-3279"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Ron Ofir","raw_affiliation_strings":["Andrew and Erna Viterbi Faculty of Electrical Eng, Technion\u2014Israel Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Andrew and Erna Viterbi Faculty of Electrical Eng, Technion\u2014Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074869481","display_name":"Michael Margaliot","orcid":"https://orcid.org/0000-0001-8319-8996"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Michael Margaliot","raw_affiliation_strings":["School of Electrical Eng., and the Sagol School of Neuroscience, Tel-Aviv University, Tel-Aviv, Israel"],"affiliations":[{"raw_affiliation_string":"School of Electrical Eng., and the Sagol School of Neuroscience, Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067412613","display_name":"Yoash Levron","orcid":"https://orcid.org/0000-0001-9775-1406"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Yoash Levron","raw_affiliation_strings":["Andrew and Erna Viterbi Faculty of Electrical Eng, Technion\u2014Israel Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Andrew and Erna Viterbi Faculty of Electrical Eng, Technion\u2014Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044026747","display_name":"Jean-Jacques Slotine","orcid":"https://orcid.org/0000-0002-7161-7812"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jean-Jacques Slotine","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, Massachusetts, USA"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, Massachusetts, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5034486968"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":2.6222,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.90062016,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3906","last_page":"3911"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9995999932289124,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9995999932289124,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9934999942779541,"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/T10142","display_name":"Formal Methods in Verification","score":0.975600004196167,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7508620023727417},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5986568331718445},{"id":"https://openalex.org/keywords/yield","display_name":"Yield (engineering)","score":0.5587902069091797},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5119749307632446},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.43960919976234436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2863900661468506},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1043250560760498},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10059630870819092}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7508620023727417},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5986568331718445},{"id":"https://openalex.org/C134121241","wikidata":"https://www.wikidata.org/wiki/Q899301","display_name":"Yield (engineering)","level":2,"score":0.5587902069091797},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5119749307632446},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.43960919976234436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2863900661468506},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1043250560760498},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10059630870819092},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc45484.2021.9682810","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9682810","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2104.00928","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.00928","pdf_url":"https://arxiv.org/pdf/2104.00928","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:dspace.mit.edu:1721.1/154991","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/154991","pdf_url":"https://dspace.mit.edu/bitstream/1721.1/154991/2/2104.00928v2.pdf","source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arxiv","raw_type":"http://purl.org/eprint/type/ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2104.00928","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.00928","pdf_url":"https://arxiv.org/pdf/2104.00928","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1543420164","https://openalex.org/W1688253628","https://openalex.org/W1763243278","https://openalex.org/W1965567178","https://openalex.org/W1977291814","https://openalex.org/W1984819558","https://openalex.org/W2008072444","https://openalex.org/W2015745168","https://openalex.org/W2018972907","https://openalex.org/W2037697510","https://openalex.org/W2042371484","https://openalex.org/W2050526412","https://openalex.org/W2056706729","https://openalex.org/W2094935658","https://openalex.org/W2105758800","https://openalex.org/W2127340456","https://openalex.org/W2132185311","https://openalex.org/W2134889984","https://openalex.org/W2135234927","https://openalex.org/W2136020357","https://openalex.org/W2143843955","https://openalex.org/W2312915715","https://openalex.org/W2599892769","https://openalex.org/W2962957436","https://openalex.org/W2964337106","https://openalex.org/W3005724979","https://openalex.org/W3012278824","https://openalex.org/W3038900894","https://openalex.org/W3047258103","https://openalex.org/W3080369083","https://openalex.org/W3090684993","https://openalex.org/W3114757943","https://openalex.org/W3126547400","https://openalex.org/W3141785485","https://openalex.org/W3143337168","https://openalex.org/W3153305782","https://openalex.org/W3204353742","https://openalex.org/W4210452658","https://openalex.org/W4240241701","https://openalex.org/W6637480540","https://openalex.org/W6782508692","https://openalex.org/W6788152712","https://openalex.org/W6789948560"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W3162204513","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W4402327032"],"abstract_inverted_index":{"The":[0,47],"flow":[1,48],"of":[2,19,26,37,49,76],"contracting":[3,20,27,32,38,65],"systems":[4,21,39,51,66],"contracts":[5,52],"1dimensional":[6],"polygons":[7,54],"(i.e.":[8],"lines)":[9],"at":[10,55],"an":[11,30,56],"exponential":[12,57],"rate.":[13],"One":[14],"reason":[15],"for":[16],"the":[17,95],"usefulness":[18],"is":[22,40],"that":[23,85],"many":[24],"interconnections":[25,75,87],"sub-systems":[28],"yield":[29],"overall":[31],"system.":[33],"A":[34],"recent":[35],"generalization":[36],"called":[41],"k-contracting":[42],"systems,":[43],"where":[44],"k":[45,68],"\u2208{1,...,n}.":[46],"such":[50,86],"k-dimensional":[53],"rate,":[58],"and":[59,78,93],"in":[60],"particular":[61],"they":[62],"reduce":[63],"to":[64],"when":[67],"=":[69],"1.":[70],"Here,":[71],"we":[72],"analyze":[73],"serial":[74],"1-contracting":[77],"2-contracting":[79],"systems.":[80],"We":[81],"provide":[82],"conditions":[83],"guaranteeing":[84],"have":[88],"a":[89],"well-ordered":[90],"asymptotic":[91],"behaviour,":[92],"demonstrate":[94],"theoretical":[96],"results":[97],"using":[98],"several":[99],"examples.":[100]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}