{"id":"https://openalex.org/W2130590906","doi":"https://doi.org/10.1109/9.995034","title":"On the reachability of quantized control systems","display_name":"On the reachability of quantized control systems","publication_year":2002,"publication_date":"2002-04-01","ids":{"openalex":"https://openalex.org/W2130590906","doi":"https://doi.org/10.1109/9.995034","mag":"2130590906"},"language":"en","primary_location":{"id":"doi:10.1109/9.995034","is_oa":false,"landing_page_url":"https://doi.org/10.1109/9.995034","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5082180334","display_name":"Antonio Bicchi","orcid":"https://orcid.org/0000-0001-8635-5571"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]},{"id":"https://openalex.org/I1300504238","display_name":"Piaggio (Italy)","ror":"https://ror.org/00r254y42","country_code":"IT","type":"company","lineage":["https://openalex.org/I1300504238"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Bicchi","raw_affiliation_strings":["Enrico Piaggio Interdepartmental Research Center, University of Pisa, Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Enrico Piaggio Interdepartmental Research Center, University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504","https://openalex.org/I1300504238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004739134","display_name":"A. Marigo","orcid":null},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Marigo","raw_affiliation_strings":["International School for Advanced Studies, SISSA/ISAS, Trieste, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International School for Advanced Studies, SISSA/ISAS, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057629608","display_name":"Benedetto Piccoli","orcid":"https://orcid.org/0000-0002-6000-5394"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]},{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"B. Piccoli","raw_affiliation_strings":["Department of Informatic Engineering and Applied Mathematics, University of Salerno, Fisciano, Salerno, Italy","International School for Advanced Studies, SISSA/ISAS, Trieste, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatic Engineering and Applied Mathematics, University of Salerno, Fisciano, Salerno, Italy","institution_ids":["https://openalex.org/I131729948"]},{"raw_affiliation_string":"International School for Advanced Studies, SISSA/ISAS, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":34.3463,"has_fulltext":false,"cited_by_count":155,"citation_normalized_percentile":{"value":0.99780234,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"47","issue":"4","first_page":"546","last_page":"563"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9987000226974487,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9987000226974487,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9760000109672546,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.8902960419654846},{"id":"https://openalex.org/keywords/nonholonomic-system","display_name":"Nonholonomic system","score":0.5956345200538635},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5685877799987793},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5559520721435547},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5126163363456726},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.49587830901145935},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4713793694972992},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46369728446006775},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.46330195665359497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4628649652004242},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4331203103065491},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.357963502407074},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3165630102157593},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.30967289209365845},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.09570705890655518},{"id":"https://openalex.org/keywords/mobile-robot","display_name":"Mobile robot","score":0.07945883274078369},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0759928822517395},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07215708494186401},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07087519764900208}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.8902960419654846},{"id":"https://openalex.org/C138632511","wikidata":"https://www.wikidata.org/wiki/Q2478109","display_name":"Nonholonomic system","level":4,"score":0.5956345200538635},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5685877799987793},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5559520721435547},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5126163363456726},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.49587830901145935},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4713793694972992},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46369728446006775},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.46330195665359497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4628649652004242},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4331203103065491},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.357963502407074},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3165630102157593},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30967289209365845},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.09570705890655518},{"id":"https://openalex.org/C19966478","wikidata":"https://www.wikidata.org/wiki/Q4810574","display_name":"Mobile robot","level":3,"score":0.07945883274078369},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0759928822517395},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07215708494186401},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07087519764900208},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/9.995034","is_oa":false,"landing_page_url":"https://doi.org/10.1109/9.995034","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arpi.unipi.it:11568/72629","is_oa":false,"landing_page_url":"http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=995034","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W135362390","https://openalex.org/W153829652","https://openalex.org/W1634952812","https://openalex.org/W1794702345","https://openalex.org/W1891021866","https://openalex.org/W1963547452","https://openalex.org/W1971044547","https://openalex.org/W1972828069","https://openalex.org/W1982800690","https://openalex.org/W1993110647","https://openalex.org/W1999276251","https://openalex.org/W2017981474","https://openalex.org/W2022960874","https://openalex.org/W2025090648","https://openalex.org/W2039319708","https://openalex.org/W2055315817","https://openalex.org/W2057182494","https://openalex.org/W2067234865","https://openalex.org/W2076597612","https://openalex.org/W2095557089","https://openalex.org/W2099761232","https://openalex.org/W2100165947","https://openalex.org/W2101593129","https://openalex.org/W2119468551","https://openalex.org/W2120944681","https://openalex.org/W2123099075","https://openalex.org/W2127988032","https://openalex.org/W2129924563","https://openalex.org/W2130590906","https://openalex.org/W2133361850","https://openalex.org/W2136628844","https://openalex.org/W2147777386","https://openalex.org/W2157076370","https://openalex.org/W2157945087","https://openalex.org/W2330342212","https://openalex.org/W3175367423","https://openalex.org/W4233558979","https://openalex.org/W6606274613","https://openalex.org/W6638437274"],"related_works":["https://openalex.org/W2164153476","https://openalex.org/W4375851942","https://openalex.org/W2774442510","https://openalex.org/W2137743265","https://openalex.org/W2142388326","https://openalex.org/W2144878166","https://openalex.org/W1996190563","https://openalex.org/W2119819375","https://openalex.org/W2059046304","https://openalex.org/W2295922520"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,74],"study":[4],"control":[5,111],"systems":[6,112],"whose":[7],"input":[8],"sets":[9],"are":[10,113],"quantized,":[11],"i.e.,":[12,67],"finite":[13],"or":[14,44],"regularly":[15],"distributed":[16],"on":[17,23,49,58],"a":[18,59,76,90],"mesh.":[19],"We":[20,46],"specifically":[21],"focus":[22],"problems":[24,103],"relating":[25],"to":[26,40,93],"the":[27,30,50,80,86,105],"structure":[28],"of":[29,33,53,64,79,109],"reachable":[31,51,81],"set":[32,52,87],"such":[34,72],"systems,":[35,56,66,73],"which":[36],"may":[37],"turn":[38],"out":[39],"be":[41],"either":[42],"dense":[43],"discrete.":[45],"report":[47],"results":[48],"linear":[54],"quantized":[55,110],"and":[57,95,101,107],"particular":[60],"but":[61],"interesting":[62],"class":[63],"nonlinear":[65],"nonholonomic":[68],"chained-form":[69],"systems.":[70],"For":[71],"provide":[75],"complete":[77],"characterization":[78],"set,":[82],"and,":[83],"in":[84,104],"case":[85],"is":[88],"discrete,":[89],"computable":[91],"method":[92],"completely":[94],"succinctly":[96],"describe":[97],"its":[98],"structure.":[99],"Implications":[100],"open":[102],"analysis":[106],"synthesis":[108],"addressed.":[114]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}