{"id":"https://openalex.org/W2159931064","doi":"https://doi.org/10.1109/cdc.2008.4738856","title":"Simple conditions for arbitrarily close deployment and equilibrium paths and quasistationary deployment","display_name":"Simple conditions for arbitrarily close deployment and equilibrium paths and quasistationary deployment","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2159931064","doi":"https://doi.org/10.1109/cdc.2008.4738856","mag":"2159931064"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4738856","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738856","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052946346","display_name":"Cornel Sultan","orcid":"https://orcid.org/0000-0002-1690-5125"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Cornel Sultan","raw_affiliation_strings":["Aerospace and Ocean Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA"],"affiliations":[{"raw_affiliation_string":"Aerospace and Ocean Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052946346"],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":null,"apc_paid":null,"fwci":0.9146,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.81869044,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1175","last_page":"1179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9800000190734863,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T12158","display_name":"Guidance and Control Systems","score":0.9800000190734863,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9679999947547913,"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":0.9664999842643738,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.7202489376068115},{"id":"https://openalex.org/keywords/software-deployment","display_name":"Software deployment","score":0.6717541217803955},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.6531524062156677},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.591640055179596},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5802263617515564},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.554311215877533},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5470247864723206},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5282682180404663},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4949426054954529},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45890751481056213},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44977518916130066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4340782165527344},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40241092443466187},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3563998341560364},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2895445227622986},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19181892275810242},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12074372172355652}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.7202489376068115},{"id":"https://openalex.org/C105339364","wikidata":"https://www.wikidata.org/wiki/Q2297740","display_name":"Software deployment","level":2,"score":0.6717541217803955},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6531524062156677},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.591640055179596},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5802263617515564},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.554311215877533},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5470247864723206},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5282682180404663},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4949426054954529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45890751481056213},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44977518916130066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4340782165527344},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40241092443466187},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3563998341560364},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2895445227622986},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19181892275810242},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12074372172355652},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2008.4738856","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738856","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W126935648","https://openalex.org/W1516289514","https://openalex.org/W1516447630","https://openalex.org/W2005177243","https://openalex.org/W2114171591","https://openalex.org/W2151245434","https://openalex.org/W4256152864","https://openalex.org/W4256153703"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W2996841952","https://openalex.org/W1580703421","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W2489516236"],"abstract_inverted_index":{"Sufficient":[0],"conditions":[1,43],"for":[2,24],"the":[3,25,28],"state":[4],"space":[5],"trajectory":[6],"of":[7,10,27],"a":[8],"system":[9,29],"ordinary":[11],"differential":[12],"equations":[13],"(ODEs)":[14],"to":[15,19,30],"be":[16,31],"arbitrarily":[17],"close":[18],"an":[20],"equilibrium":[21],"path":[22],"and":[23,38],"evolution":[26],"quasistationary":[32],"are":[33,44],"proved":[34],"using":[35],"basic":[36],"topology":[37],"mathematical":[39],"analysis":[40],"concepts.":[41],"The":[42],"less":[45],"conservative":[46],"than":[47],"previously":[48],"derived":[49],"ones":[50],"based":[51],"on":[52],"Lyapunov":[53],"functions.":[54]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-25T21:42:39.735039","created_date":"2025-10-10T00:00:00"}
