{"id":"https://openalex.org/W2011092576","doi":"https://doi.org/10.1137/s0363012901391676","title":"Flow Stability of Patchy Vector Fields and Robust Feedback Stabilization","display_name":"Flow Stability of Patchy Vector Fields and Robust Feedback Stabilization","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2011092576","doi":"https://doi.org/10.1137/s0363012901391676","mag":"2011092576"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012901391676","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012901391676","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":"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/A5040865071","display_name":"Fabio Ancona","orcid":"https://orcid.org/0000-0002-2686-5470"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabio Ancona","raw_affiliation_strings":["University of Bologna"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bologna","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048359772","display_name":"Alberto Bressan","orcid":"https://orcid.org/0000-0002-2030-842X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alberto Bressan","raw_affiliation_strings":["Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.3793,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.94380372,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"41","issue":"5","first_page":"1455","last_page":"1476"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","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/T11110","display_name":"Stability and Controllability of Differential Equations","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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7691093683242798},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.7337610721588135},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7034436464309692},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6868805885314941},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5253402590751648},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5120077729225159},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5046948194503784},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.47437912225723267},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.44628968834877014},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3685774803161621},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26539304852485657},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1332874596118927},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08105850219726562},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07547429203987122},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06950759887695312},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06519657373428345}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7691093683242798},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.7337610721588135},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7034436464309692},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6868805885314941},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5253402590751648},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5120077729225159},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5046948194503784},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.47437912225723267},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.44628968834877014},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3685774803161621},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26539304852485657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1332874596118927},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08105850219726562},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07547429203987122},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06950759887695312},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06519657373428345},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","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":3,"locations":[{"id":"doi:10.1137/s0363012901391676","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012901391676","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:CiteSeerX.psu:10.1.1.637.6061","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.637.6061","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.psu.edu/bressan/PSPDF/patchy2.pdf","raw_type":"text"},{"id":"pmh:oai:www.research.unipd.it:11577/119391","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/119391","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1529034024","https://openalex.org/W1547240457","https://openalex.org/W1558913699","https://openalex.org/W1567134821","https://openalex.org/W1967548315","https://openalex.org/W1971044547","https://openalex.org/W1985141482","https://openalex.org/W1986091057","https://openalex.org/W2011070788","https://openalex.org/W2021719412","https://openalex.org/W2022607740","https://openalex.org/W2031750349","https://openalex.org/W2041485674","https://openalex.org/W2052241257","https://openalex.org/W2069769125","https://openalex.org/W2077483340","https://openalex.org/W2135509249","https://openalex.org/W2152112251","https://openalex.org/W2726950026","https://openalex.org/W4319776160"],"related_works":["https://openalex.org/W2748423518","https://openalex.org/W2123214107","https://openalex.org/W2131152418","https://openalex.org/W1980688574","https://openalex.org/W1502263556","https://openalex.org/W2079106220","https://openalex.org/W2586127520","https://openalex.org/W2364308198","https://openalex.org/W2008818481","https://openalex.org/W1980810604"],"abstract_inverted_index":{"The":[0],"paper":[1],"is":[2],"concerned":[3],"with":[4],"patchy":[5,49],"vector":[6,14],"fields,":[7],"a":[8,37],"class":[9,39],"of":[10,31,40,48,55],"discontinuous,":[11],"piecewise":[12],"smooth":[13],"fields":[15],"that":[16],"were":[17],"introduced":[18],"by":[19],"the":[20,29,32,46,53],"authors":[21],"to":[22],"study":[23],"feedback":[24,50],"stabilization":[25],"problems.":[26],"We":[27],"prove":[28],"stability":[30],"corresponding":[33],"solution":[34],"set":[35],"w.r.t.":[36],"wide":[38],"impulsive":[41],"perturbations.":[42],"These":[43],"results":[44],"yield":[45],"robustness":[47],"controls":[51],"in":[52],"presence":[54],"measurement":[56],"errors":[57],"and":[58],"external":[59],"disturbances.":[60]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
