{"id":"https://openalex.org/W2219346810","doi":"https://doi.org/10.1080/00207179.2015.1137633","title":"Null controllable region of delta operator systems subject to actuator saturation","display_name":"Null controllable region of delta operator systems subject to actuator saturation","publication_year":2015,"publication_date":"2015-12-31","ids":{"openalex":"https://openalex.org/W2219346810","doi":"https://doi.org/10.1080/00207179.2015.1137633","mag":"2219346810"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2015.1137633","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2015.1137633","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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/A5101921301","display_name":"Hongjiu Yang","orcid":"https://orcid.org/0000-0001-9343-8068"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]},{"id":"https://openalex.org/I4210128819","display_name":"Institute of Electrical Engineering","ror":"https://ror.org/033js6g46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128819"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongjiu Yang","raw_affiliation_strings":["Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China","institution_ids":["https://openalex.org/I39333907","https://openalex.org/I4210128819"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036553706","display_name":"Ce Yan","orcid":null},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]},{"id":"https://openalex.org/I4210128819","display_name":"Institute of Electrical Engineering","ror":"https://ror.org/033js6g46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128819"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ce Yan","raw_affiliation_strings":["Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China","institution_ids":["https://openalex.org/I39333907","https://openalex.org/I4210128819"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064231378","display_name":"Yuanqing Xia","orcid":"https://orcid.org/0000-0002-5977-4911"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanqing Xia","raw_affiliation_strings":["School of Automation, Beijing Institute of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100726452","display_name":"Jinhui Zhang","orcid":"https://orcid.org/0000-0002-2405-894X"},"institutions":[{"id":"https://openalex.org/I75390827","display_name":"Beijing University of Chemical Technology","ror":"https://ror.org/00df5yc52","country_code":"CN","type":"education","lineage":["https://openalex.org/I75390827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhui Zhang","raw_affiliation_strings":["College of Information Science & Technology, Beijing University of Chemical Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science & Technology, Beijing University of Chemical Technology, Beijing, China","institution_ids":["https://openalex.org/I75390827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101921301"],"corresponding_institution_ids":["https://openalex.org/I39333907","https://openalex.org/I4210128819"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08011229,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"89","issue":"7","first_page":"1509","last_page":"1521"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9994999766349792,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9983999729156494,"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/null","display_name":"Null (SQL)","score":0.8285075426101685},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7237842679023743},{"id":"https://openalex.org/keywords/delta-operator","display_name":"Delta operator","score":0.708918571472168},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6916084289550781},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5839194655418396},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5630858540534973},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5082425475120544},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.4260809123516083},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3666752278804779},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3444204032421112},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.216190367937088},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21099421381950378},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12009450793266296},{"id":"https://openalex.org/keywords/shift-operator","display_name":"Shift operator","score":0.11879730224609375},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11622041463851929},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10295683145523071},{"id":"https://openalex.org/keywords/compact-operator","display_name":"Compact operator","score":0.09669014811515808},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05830475687980652}],"concepts":[{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.8285075426101685},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7237842679023743},{"id":"https://openalex.org/C115633367","wikidata":"https://www.wikidata.org/wiki/Q5254796","display_name":"Delta operator","level":5,"score":0.708918571472168},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6916084289550781},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5839194655418396},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5630858540534973},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5082425475120544},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.4260809123516083},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3666752278804779},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3444204032421112},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.216190367937088},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21099421381950378},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12009450793266296},{"id":"https://openalex.org/C65630602","wikidata":"https://www.wikidata.org/wiki/Q2278680","display_name":"Shift operator","level":4,"score":0.11879730224609375},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11622041463851929},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10295683145523071},{"id":"https://openalex.org/C79013869","wikidata":"https://www.wikidata.org/wiki/Q1780743","display_name":"Compact operator","level":3,"score":0.09669014811515808},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05830475687980652},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2015.1137633","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2015.1137633","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3254130890","display_name":null,"funder_award_id":"F2013203092","funder_id":"https://openalex.org/F4320322163","funder_display_name":"Natural Science Foundation of Hebei Province"},{"id":"https://openalex.org/G3554022614","display_name":null,"funder_award_id":"2012CB720000","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G4613039011","display_name":null,"funder_award_id":"61573301","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5663249744","display_name":"\u7f51\u7edc\u5316\u63a7\u5236\u7cfb\u7edf\u4e2d\u7684\u65f6\u5ef6\u8865\u507f\u63a7\u5236\u7b56\u7565\u7814\u7a76","funder_award_id":"61473024","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6456426227","display_name":null,"funder_award_id":"E2014203122","funder_id":"https://openalex.org/F4320322163","funder_display_name":"Natural Science Foundation of Hebei Province"},{"id":"https://openalex.org/G6843764528","display_name":null,"funder_award_id":"61225015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6884618298","display_name":null,"funder_award_id":"61203023","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7902281735","display_name":null,"funder_award_id":"20111101110012","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322163","display_name":"Natural Science Foundation of Hebei Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1886386547","https://openalex.org/W1963892796","https://openalex.org/W1975149026","https://openalex.org/W1979634713","https://openalex.org/W1981824563","https://openalex.org/W1983861577","https://openalex.org/W1991306251","https://openalex.org/W2025142227","https://openalex.org/W2054529943","https://openalex.org/W2060893855","https://openalex.org/W2069516953","https://openalex.org/W2077511133","https://openalex.org/W2082609943","https://openalex.org/W2087740516","https://openalex.org/W2094243978","https://openalex.org/W2097670366","https://openalex.org/W2101420429","https://openalex.org/W2102802181","https://openalex.org/W2107585579","https://openalex.org/W2113010422","https://openalex.org/W2115685066","https://openalex.org/W2119376077","https://openalex.org/W2120906847","https://openalex.org/W2123118045","https://openalex.org/W2127353475","https://openalex.org/W2128981733","https://openalex.org/W2134354547","https://openalex.org/W2138499243","https://openalex.org/W2160782991","https://openalex.org/W2169309412","https://openalex.org/W2174393126","https://openalex.org/W2296319761","https://openalex.org/W2500734973","https://openalex.org/W4237454804","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2095847640","https://openalex.org/W2527177817","https://openalex.org/W3211972912","https://openalex.org/W2977586023","https://openalex.org/W1539939046","https://openalex.org/W2349388034","https://openalex.org/W2219346810","https://openalex.org/W2092836648","https://openalex.org/W2238142701","https://openalex.org/W2649360600"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"give":[4],"exact":[5],"description":[6,47],"of":[7,26,29,32,61,68,93],"null":[8,20,63,69,98],"controllable":[9,21,64,70,99],"regions":[10,71],"for":[11,75],"delta":[12,37,81],"operator":[13,38,82],"systems":[14,79],"subject":[15],"to":[16,50,57,89],"actuator":[17],"saturation.":[18],"The":[19,66],"region":[22],"is":[23,48,55],"in":[24],"terms":[25],"a":[27,62],"set":[28],"extremal":[30],"trajectories":[31],"anti-stable":[33],"subsystems.":[34],"For":[35],"the":[36,46,59,91,94],"system":[39],"with":[40],"real":[41],"eigenvalues":[42],"or":[43],"complex":[44],"eigenvalues,":[45],"simplified":[49],"an":[51],"explicit":[52],"formula":[53],"which":[54],"used":[56],"characterise":[58],"boundary":[60],"region.":[65],"relations":[67],"are":[72,87],"shown":[73],"separately":[74],"continuous-time":[76],"systems,":[77],"discrete-time":[78],"and":[80],"systems.":[83],"Two":[84],"numerical":[85],"examples":[86],"given":[88],"illustrate":[90],"effectiveness":[92],"proposed":[95],"techniques":[96],"on":[97],"regions.":[100]},"counts_by_year":[],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
