{"id":"https://openalex.org/W2752024562","doi":"https://doi.org/10.1137/16m108029x","title":"Topological and Graph-Coloring Conditions on the Parameter-Independent Stability of Second-Order Networked Systems","display_name":"Topological and Graph-Coloring Conditions on the Parameter-Independent Stability of Second-Order Networked Systems","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2752024562","doi":"https://doi.org/10.1137/16m108029x","mag":"2752024562"},"language":"en","primary_location":{"id":"doi:10.1137/16m108029x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m108029x","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.rug.nl/en/publications/dfa89079-24d9-4722-a270-b25f2c2c2305","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085613365","display_name":"Filip Koerts","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Filip J. Koerts","raw_affiliation_strings":["Systems, Control and Applied Analysis"],"affiliations":[{"raw_affiliation_string":"Systems, Control and Applied Analysis","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113560639","display_name":"Mathias B\u00fcrger","orcid":null},"institutions":[{"id":"https://openalex.org/I4210156055","display_name":"Robert Bosch (Netherlands)","ror":"https://ror.org/057aydj06","country_code":"NL","type":"company","lineage":["https://openalex.org/I4210156055","https://openalex.org/I889804353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Mathias B\u00fcrger","raw_affiliation_strings":["\u2021Bosch Center for Artificial Intelligence, Robert Bosch GmbH"],"affiliations":[{"raw_affiliation_string":"\u2021Bosch Center for Artificial Intelligence, Robert Bosch GmbH","institution_ids":["https://openalex.org/I4210156055"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005018540","display_name":"Arjan van der Schaft","orcid":"https://orcid.org/0000-0002-2383-9234"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arjan J. van der Schaft","raw_affiliation_strings":["Systems, Control and Applied Analysis"],"affiliations":[{"raw_affiliation_string":"Systems, Control and Applied Analysis","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073108827","display_name":"Claudio De Persis","orcid":"https://orcid.org/0000-0001-8574-1139"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Claudio De Persis","raw_affiliation_strings":["Smart Manufacturing Systems"],"affiliations":[{"raw_affiliation_string":"Smart Manufacturing Systems","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5085613365"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4379,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67826987,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"55","issue":"6","first_page":"3750","last_page":"3778"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9836999773979187,"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/graph-coloring","display_name":"Graph coloring","score":0.6513646245002747},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.6423040628433228},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.5833806991577148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5745744705200195},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.561010479927063},{"id":"https://openalex.org/keywords/greedy-coloring","display_name":"Greedy coloring","score":0.502798318862915},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.49434638023376465},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4878137409687042},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.47722938656806946},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.45341405272483826},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4443575441837311},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4280531406402588},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3945651650428772},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.38401687145233154},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3165547251701355},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.31114840507507324}],"concepts":[{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.6513646245002747},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.6423040628433228},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.5833806991577148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5745744705200195},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.561010479927063},{"id":"https://openalex.org/C38767284","wikidata":"https://www.wikidata.org/wiki/Q5601715","display_name":"Greedy coloring","level":5,"score":0.502798318862915},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.49434638023376465},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4878137409687042},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.47722938656806946},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.45341405272483826},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4443575441837311},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4280531406402588},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3945651650428772},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.38401687145233154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3165547251701355},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.31114840507507324},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/16m108029x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m108029x","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:pure.rug.nl:openaire/dfa89079-24d9-4722-a270-b25f2c2c2305","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/dfa89079-24d9-4722-a270-b25f2c2c2305","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Koerts, F, B\u00fcrger, M, van der Schaft, A & De Persis, C 2017, 'Topological and Graph-Coloring Conditions on the Parameter-Independent Stability of Second-Order Networked Systems', SIAM Journal on Control and Optimization, vol. 55, no. 6, pp. 3750-3778. https://doi.org/10.1137/16M108029X","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1709.02629","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.02629","pdf_url":"https://arxiv.org/pdf/1709.02629","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":"doi:10.48550/arxiv.1709.02629","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1709.02629","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":"article"},{"id":"mag:2752024562","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:openaire/dfa89079-24d9-4722-a270-b25f2c2c2305","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/dfa89079-24d9-4722-a270-b25f2c2c2305","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Koerts, F, B\u00fcrger, M, van der Schaft, A & De Persis, C 2017, 'Topological and Graph-Coloring Conditions on the Parameter-Independent Stability of Second-Order Networked Systems', SIAM Journal on Control and Optimization, vol. 55, no. 6, pp. 3750-3778. https://doi.org/10.1137/16M108029X","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W569964396","https://openalex.org/W1669520380","https://openalex.org/W1963649370","https://openalex.org/W1968441886","https://openalex.org/W1977594883","https://openalex.org/W2003200910","https://openalex.org/W2023351932","https://openalex.org/W2032072046","https://openalex.org/W2037707014","https://openalex.org/W2042973636","https://openalex.org/W2049176600","https://openalex.org/W2059534106","https://openalex.org/W2062000238","https://openalex.org/W2064075132","https://openalex.org/W2096876511","https://openalex.org/W2110679186","https://openalex.org/W2113127719","https://openalex.org/W2142189574","https://openalex.org/W2144372601","https://openalex.org/W2160643434","https://openalex.org/W2163072899","https://openalex.org/W2172049065","https://openalex.org/W2172498959","https://openalex.org/W2175011670","https://openalex.org/W2288444165","https://openalex.org/W2805848106","https://openalex.org/W2962910558","https://openalex.org/W2963870191","https://openalex.org/W3088433128"],"related_works":["https://openalex.org/W2133773025","https://openalex.org/W1509510380","https://openalex.org/W2772689948","https://openalex.org/W894376071","https://openalex.org/W2962773915","https://openalex.org/W3082664529","https://openalex.org/W2039754896","https://openalex.org/W3198654262","https://openalex.org/W2767855020","https://openalex.org/W2062135503","https://openalex.org/W2963430450","https://openalex.org/W2311705335","https://openalex.org/W2029029999","https://openalex.org/W2803178314","https://openalex.org/W2796243516","https://openalex.org/W1575031463","https://openalex.org/W3048679163","https://openalex.org/W2083522899","https://openalex.org/W2775206256","https://openalex.org/W2883033063"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,28],"study":[4],"parameter-independent":[5,56,191,204],"stability":[6,57,138,192,205],"in":[7,88,119,178],"qualitatively":[8],"heterogeneous":[9],"passive":[10],"networked":[11],"systems":[12],"containing":[13],"damped":[14,26,95,171],"and":[15,22,86,107,114,189,203],"undamped":[16],"nodes.":[17],"Given":[18],"the":[19,65,79,120,170,179,196,236],"graph":[20,80,121,127,159],"topology":[21],"a":[23,61,90,125,132,146,174,182,231],"set":[24,177],"of":[25,78,199],"nodes,":[27],"ask":[29],"if":[30,75,106,109,141,169],"output":[31,51],"consensus":[32],"is":[33,47,58,97,128,139,153,193,226],"achieved":[34],"for":[35,209,234],"all":[36,76,117],"system":[37],"parameter":[38,42],"values.":[39],"For":[40,212],"given":[41],"values,":[43],"an":[44,220],"eigenspace":[45],"analysis":[46],"used":[48],"to":[49,55,130,155],"determine":[50],"consensus.":[52],"The":[53,71,150],"extension":[54],"characterized":[59],"by":[60],"coloring":[62,68,160,185],"problem,":[63],"named":[64,222],"richly":[66,133,147,183],"balanced":[67,134,148,184],"(RBC)":[69],"problem.":[70,239],"RBC":[72,151,238],"problem":[73,152],"asks":[74],"nodes":[77,118,172],"can":[81],"be":[82],"colored":[83,126,135],"red,":[84],"blue,":[85],"black":[87,101],"such":[89],"way":[91],"that":[92,228],"(i)":[93],"every":[94,100],"node":[96,102,224],"black,":[98],"(ii)":[99],"has":[103,111],"blue":[104],"neighbors":[105],"only":[108,208],"it":[110],"red":[112],"neighbors,":[113],"(iii)":[115],"not":[116,144,187],"are":[122],"black.":[123],"Such":[124],"referred":[129],"as":[131,163],"graph.":[136],"Parameter-independent":[137],"guaranteed":[140],"there":[142],"does":[143,186],"exist":[145],"coloring.":[149],"shown":[154],"cover":[156],"another":[157],"well-known":[158],"scheme":[161],"known":[162],"zero":[164,175,200],"forcing":[165,176,201],"sets.":[166],"That":[167],"is,":[168],"form":[173],"graph,":[180],"then":[181],"exist,":[188],"thus":[190],"guaranteed.":[194],"However,":[195],"full":[197],"equivalence":[198],"sets":[202],"holds":[206],"true":[207],"tree":[210],"graphs.":[211],"more":[213],"general":[214],"graphs":[215],"with":[216],"few":[217],"fundamental":[218],"cycles,":[219],"algorithm,":[221],"chord":[223],"coloring,":[225],"proposed":[227],"significantly":[229],"outperforms":[230],"brute-force":[232],"search":[233],"solving":[235],"NP-complete":[237]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}