{"id":"https://openalex.org/W1995610715","doi":"https://doi.org/10.1080/00207720210167122","title":"Exact solutions to two-dimensional homing problems","display_name":"Exact solutions to two-dimensional homing problems","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1995610715","doi":"https://doi.org/10.1080/00207720210167122","mag":"1995610715"},"language":"en","primary_location":{"id":"doi:10.1080/00207720210167122","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720210167122","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5078957744","display_name":"Mario Lefebvre","orcid":"https://orcid.org/0000-0002-9451-543X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. Lefebvre","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078957744"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11532847,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"11","first_page":"879","last_page":"884"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9693999886512756,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9693999886512756,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9682000279426575,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9442999958992004,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6355025768280029},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.6198506951332092},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.5984742045402527},{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.5682159662246704},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5159450173377991},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5099059343338013},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4894196093082428},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4578584134578705},{"id":"https://openalex.org/keywords/control-variable","display_name":"Control variable","score":0.4281962811946869},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3969680070877075},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3379324674606323},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3186967372894287},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27347737550735474},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10529503226280212}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6355025768280029},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.6198506951332092},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.5984742045402527},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.5682159662246704},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5159450173377991},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5099059343338013},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4894196093082428},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4578584134578705},{"id":"https://openalex.org/C153240184","wikidata":"https://www.wikidata.org/wiki/Q3243772","display_name":"Control variable","level":2,"score":0.4281962811946869},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3969680070877075},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3379324674606323},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3186967372894287},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27347737550735474},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10529503226280212},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/00207720210167122","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720210167122","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:publications.polymtl.ca:26500","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/26500/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"},{"id":"pmh:oai:publications.polymtl.ca:42646","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/42646/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Communication de conf\u00e9rence"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1591710988","https://openalex.org/W2070532871","https://openalex.org/W2093702509","https://openalex.org/W2128338945","https://openalex.org/W2519296487"],"related_works":["https://openalex.org/W1986314707","https://openalex.org/W2149174258","https://openalex.org/W2087798374","https://openalex.org/W2017320139","https://openalex.org/W2096830859","https://openalex.org/W4289419495","https://openalex.org/W2329385457","https://openalex.org/W3046256638","https://openalex.org/W2964196486","https://openalex.org/W2015213962"],"abstract_inverted_index":{"Two-dimensional":[0],"controlled":[1,19,29,53],"Wiener":[2],"and":[3,15,66],"Bessel":[4],"diffusion":[5],"processes":[6,20,27,54],"are":[7,28,69],"considered":[8],"in":[9],"circles.":[10],"Both":[11],"the":[12,18,23,33,36,44,48,52,56,60,72,76,83,95],"infinitesimal":[13],"means":[14],"variances":[16],"of":[17,47,75,88],"depend":[21],"on":[22],"control":[24,61,77],"variables.":[25],"The":[26,39,86],"until":[30],"they":[31],"hit":[32],"circles":[34],"for":[35,71,82],"first":[37],"time.":[38],"objective":[40],"is":[41,91],"to":[42,93],"minimize":[43],"expected":[45],"value":[46,84],"time":[49],"spent":[50],"by":[51],"inside":[55],"circles,":[57],"while":[58],"taking":[59],"costs":[62],"into":[63],"account.":[64],"Explicit":[65],"exact":[67],"expressions":[68],"obtained":[70],"optimal":[73],"values":[74],"variables":[78],"as":[79,81],"well":[80],"functions.":[85],"method":[87],"similarity":[89],"solutions":[90],"used":[92],"solve":[94],"appropriate":[96],"dynamic":[97],"programming":[98],"equation.":[99]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
