{"id":"https://openalex.org/W1480788855","doi":"https://doi.org/10.1109/icsmc.2003.1243807","title":"Null controllability of planar piecewise linear systems","display_name":"Null controllability of planar piecewise linear systems","publication_year":2004,"publication_date":"2004-06-22","ids":{"openalex":"https://openalex.org/W1480788855","doi":"https://doi.org/10.1109/icsmc.2003.1243807","mag":"1480788855"},"language":"en","primary_location":{"id":"doi:10.1109/icsmc.2003.1243807","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2003.1243807","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5044920558","display_name":"Guangming Xie","orcid":"https://orcid.org/0000-0001-6504-0087"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangming Xie","raw_affiliation_strings":["Center for Systems and Control Department of Mech. & Eng. Sci, Peking University, Beijing, China","Dept. of Mech. & Eng. Sci., Peiking Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Systems and Control Department of Mech. & Eng. Sci, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Dept. of Mech. & Eng. Sci., Peiking Univ., Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100447536","display_name":"Long Wang","orcid":"https://orcid.org/0000-0001-5600-8157"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Long Wang","raw_affiliation_strings":["Center for Systems and Control Department of Mech. & Eng. Sci, Peking University, Beijing, China","Dept. of Mech. & Eng. Sci., Peiking Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Systems and Control Department of Mech. & Eng. Sci, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Dept. of Mech. & Eng. Sci., Peiking Univ., Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5097715307","display_name":"Bo Xun","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Xun","raw_affiliation_strings":["Center for Systems and Control Department of Mech. & Eng. Sci, Peking University, Beijing, China","Dept. of Mech. & Eng. Sci., Peiking Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Systems and Control Department of Mech. & Eng. Sci, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Dept. of Mech. & Eng. Sci., Peiking Univ., Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067721012","display_name":"Liang Zhao","orcid":"https://orcid.org/0000-0001-6273-2651"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Zhao","raw_affiliation_strings":["Center for Systems and Control Department of Mech. & Eng. Sci, Peking University, Beijing, China","Dept. of Mech. & Eng. Sci., Peiking Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Systems and Control Department of Mech. & Eng. Sci, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Dept. of Mech. & Eng. Sci., Peiking Univ., Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":null,"apc_paid":null,"fwci":1.9546,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82489924,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"154","last_page":"159"},"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":0.9986000061035156,"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":0.9986000061035156,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9973999857902527,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9958999752998352,"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/controllability","display_name":"Controllability","score":0.9917746782302856},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.8428362607955933},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6965460181236267},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6306086778640747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5950895547866821},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5806260704994202},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5663563013076782},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4455057382583618},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4092954993247986},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.32465115189552307},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3106514811515808},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28439566493034363},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26331406831741333},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09428349137306213},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0523412823677063},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.047069549560546875}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9917746782302856},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.8428362607955933},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6965460181236267},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6306086778640747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5950895547866821},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5806260704994202},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5663563013076782},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4455057382583618},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4092954993247986},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32465115189552307},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3106514811515808},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28439566493034363},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26331406831741333},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09428349137306213},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0523412823677063},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.047069549560546875},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsmc.2003.1243807","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2003.1243807","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1995691455","https://openalex.org/W2073008033","https://openalex.org/W2102802181","https://openalex.org/W2103974645","https://openalex.org/W2104292418","https://openalex.org/W2108170563","https://openalex.org/W2136732390","https://openalex.org/W2143045438","https://openalex.org/W2163590987","https://openalex.org/W2164153476","https://openalex.org/W2170835896","https://openalex.org/W2562854303","https://openalex.org/W4237454804","https://openalex.org/W6681496520","https://openalex.org/W6685058679","https://openalex.org/W7028926850"],"related_works":["https://openalex.org/W4225722709","https://openalex.org/W2051029143","https://openalex.org/W2131379161","https://openalex.org/W2036697162","https://openalex.org/W3185750406","https://openalex.org/W3215273227","https://openalex.org/W2018039518","https://openalex.org/W2580275160","https://openalex.org/W2079322307","https://openalex.org/W1480788855"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,34],"controllability":[4,23,36],"of":[5,8,24],"a":[6],"class":[7],"planar":[9],"piecewise":[10],"linear":[11],"systems":[12,26],"is":[13,27,31],"investigated.":[14],"An":[15],"explicit":[16],"necessary":[17],"and":[18],"sufficient":[19],"condition":[20],"for":[21],"null":[22,35],"such":[25],"established.":[28],"Moreover,":[29],"it":[30],"proved":[32],"that":[33],"can":[37],"be":[38],"realized":[39],"infinite":[40],"steps.":[41]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
