{"id":"https://openalex.org/W2049844773","doi":"https://doi.org/10.1137/12087791x","title":"On the Control of Moving Sets: Positive and Negative Confinement Results","display_name":"On the Control of Moving Sets: Positive and Negative Confinement Results","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2049844773","doi":"https://doi.org/10.1137/12087791x","mag":"2049844773"},"language":"en","primary_location":{"id":"doi:10.1137/12087791x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/12087791x","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/A5088590159","display_name":"Rinaldo M. Colombo","orcid":"https://orcid.org/0000-0003-0459-585X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. M. Colombo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5035452579","display_name":"Nikolay Pogodaev","orcid":"https://orcid.org/0000-0002-7062-1764"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N. Pogodaev","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0659,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.74967694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"51","issue":"1","first_page":"380","last_page":"401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/impossibility","display_name":"Impossibility","score":0.8150213956832886},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.725648820400238},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.573498547077179},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5420161485671997},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5231063365936279},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.49836087226867676},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3819446563720703},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.339763879776001},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14935258030891418},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08969974517822266}],"concepts":[{"id":"https://openalex.org/C2776261394","wikidata":"https://www.wikidata.org/wiki/Q315562","display_name":"Impossibility","level":2,"score":0.8150213956832886},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.725648820400238},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.573498547077179},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5420161485671997},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5231063365936279},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.49836087226867676},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3819446563720703},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.339763879776001},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14935258030891418},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08969974517822266},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/12087791x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/12087791x","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:iris.unibs.it:11379/181501","is_oa":false,"landing_page_url":"http://hdl.handle.net/11379/181501","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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"},{"id":"pmh:oai:www.research.unipd.it:11577/3508730","is_oa":false,"landing_page_url":"https://hdl.handle.net/11577/3508730","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","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":[{"score":0.7599999904632568,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1969636752","https://openalex.org/W1977005284","https://openalex.org/W1979500420","https://openalex.org/W1998057257","https://openalex.org/W2006782096","https://openalex.org/W2018976612","https://openalex.org/W2019989441","https://openalex.org/W2020521677","https://openalex.org/W2023864973","https://openalex.org/W2044910886","https://openalex.org/W2072680730","https://openalex.org/W2108799575","https://openalex.org/W2298604027"],"related_works":["https://openalex.org/W2384156839","https://openalex.org/W4321602641","https://openalex.org/W2394251275","https://openalex.org/W4241392912","https://openalex.org/W2489497330","https://openalex.org/W2596801716","https://openalex.org/W4387391601","https://openalex.org/W4386392971","https://openalex.org/W4391019359","https://openalex.org/W2169395074"],"abstract_inverted_index":{"We":[0,30],"consider":[1],"a":[2,10,15,25,33,41,45,51,61,69],"few":[3],"individuals":[4],"whose":[5],"task":[6],"is":[7,14,24,54],"to":[8,21],"confine":[9],"moving":[11],"population.":[12],"This":[13],"control":[16],"problem":[17],"where":[18],"the":[19,37,58,65,78],"state":[20],"be":[22],"controlled":[23],"compact":[26],"subset":[27],"of":[28,39,60],"$\\mathbb{R}^n$.":[29],"first":[31],"prove":[32],"negative":[34],"result":[35,53],"on":[36],"impossibility":[38],"confinement,":[40],"key":[42],"assumption":[43],"being":[44],"sufficiently":[46],"large":[47],"initial":[48,66],"volume.":[49],"Then":[50],"positive":[52],"also":[55],"provided":[56],"through":[57],"construction":[59],"confining":[62],"control,":[63],"when":[64,77],"set":[67],"has":[68],"suitable":[70],"diameter.":[71],"Numerical":[72],"integrations":[73],"show":[74],"possible":[75],"behaviors":[76],"above":[79],"results":[80],"do":[81],"not":[82],"apply.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
