{"id":"https://openalex.org/W4390871520","doi":"https://doi.org/10.1109/tac.2024.3354164","title":"Necessary and Sufficient Conditions for State Feedback Equivalence to Negative Imaginary Systems","display_name":"Necessary and Sufficient Conditions for State Feedback Equivalence to Negative Imaginary Systems","publication_year":2024,"publication_date":"2024-01-15","ids":{"openalex":"https://openalex.org/W4390871520","doi":"https://doi.org/10.1109/tac.2024.3354164"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3354164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3354164","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/A5087494373","display_name":"Kanghong Shi","orcid":"https://orcid.org/0000-0003-4062-7097"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Kanghong Shi","raw_affiliation_strings":["School of Engineering, College of Engineering, Computing and Cybernetics, Australian National University, Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"School of Engineering, College of Engineering, Computing and Cybernetics, Australian National University, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011597574","display_name":"Ian R. Petersen","orcid":"https://orcid.org/0000-0003-4856-9450"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ian R. Petersen","raw_affiliation_strings":["School of Engineering, College of Engineering, Computing and Cybernetics, Australian National University, Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"School of Engineering, College of Engineering, Computing and Cybernetics, Australian National University, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083313944","display_name":"Igor G. Vladimirov","orcid":"https://orcid.org/0000-0002-9355-4736"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Igor G. Vladimirov","raw_affiliation_strings":["School of Engineering, College of Engineering, Computing and Cybernetics, Australian National University, Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"School of Engineering, College of Engineering, Computing and Cybernetics, Australian National University, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087494373"],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":1.7473,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.830646,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"69","issue":"7","first_page":"4657","last_page":"4672"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9977999925613403,"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/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9977999925613403,"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/equivalence","display_name":"Equivalence (formal languages)","score":0.6832539439201355},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6671721935272217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6395292282104492},{"id":"https://openalex.org/keywords/the-imaginary","display_name":"The Imaginary","score":0.62568199634552},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.6185185313224792},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5561686754226685},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5399714708328247},{"id":"https://openalex.org/keywords/minimum-phase","display_name":"Minimum phase","score":0.50826495885849},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4616706371307373},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3022040128707886},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22907042503356934},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22564998269081116},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.22173243761062622},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19280549883842468},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12557125091552734},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09753069281578064},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0816974937915802},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.0635022222995758}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6832539439201355},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6671721935272217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6395292282104492},{"id":"https://openalex.org/C135068731","wikidata":"https://www.wikidata.org/wiki/Q1169049","display_name":"The Imaginary","level":2,"score":0.62568199634552},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.6185185313224792},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5561686754226685},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5399714708328247},{"id":"https://openalex.org/C170263048","wikidata":"https://www.wikidata.org/wiki/Q489593","display_name":"Minimum phase","level":3,"score":0.50826495885849},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4616706371307373},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3022040128707886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22907042503356934},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22564998269081116},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.22173243761062622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19280549883842468},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12557125091552734},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09753069281578064},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0816974937915802},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0635022222995758},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3354164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3354164","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G8430282684","display_name":null,"funder_award_id":"DP190102158","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1963945073","https://openalex.org/W1967423086","https://openalex.org/W1970786494","https://openalex.org/W1975237607","https://openalex.org/W1975672670","https://openalex.org/W1982713142","https://openalex.org/W2012497206","https://openalex.org/W2016497877","https://openalex.org/W2024303936","https://openalex.org/W2027102743","https://openalex.org/W2041192833","https://openalex.org/W2054681162","https://openalex.org/W2057616172","https://openalex.org/W2066971950","https://openalex.org/W2068391479","https://openalex.org/W2073424058","https://openalex.org/W2100434865","https://openalex.org/W2102899117","https://openalex.org/W2103666082","https://openalex.org/W2121057923","https://openalex.org/W2129159705","https://openalex.org/W2146409279","https://openalex.org/W2163005618","https://openalex.org/W2164209958","https://openalex.org/W2172373658","https://openalex.org/W2174212392","https://openalex.org/W2311144679","https://openalex.org/W2517118017","https://openalex.org/W2571113540","https://openalex.org/W2602056446","https://openalex.org/W2980826968","https://openalex.org/W2995169798","https://openalex.org/W3047044495","https://openalex.org/W3096089206","https://openalex.org/W3109580326","https://openalex.org/W3118662178","https://openalex.org/W3133700849","https://openalex.org/W3160954918","https://openalex.org/W4234350010","https://openalex.org/W4240790602","https://openalex.org/W4248816015","https://openalex.org/W4293874909","https://openalex.org/W4327639158","https://openalex.org/W4381436598"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W2027136373","https://openalex.org/W2144143333","https://openalex.org/W2276636510","https://openalex.org/W3163145068","https://openalex.org/W2105658174","https://openalex.org/W1990421243","https://openalex.org/W776139355","https://openalex.org/W3007064390"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,28,94],"present":[4],"necessary":[5],"and":[6,46,67,87],"sufficient":[7],"conditions":[8],"under":[9],"which":[10,57],"a":[11,21,31,55],"linear":[12],"time-invariant":[13],"(LTI)":[14],"system":[15,36,107],"is":[16,68,116],"state":[17,43,78,98],"feedback":[18,44,79,99],"equivalent":[19],"to":[20,65,81,102,118],"negative":[22,84,90,110],"imaginary":[23,85,91,111],"(NI)":[24],"system.":[25,130],"More":[26],"precisely,":[27],"show":[29],"that":[30],"minimal":[32],"LTI":[33],"strictly":[34,83,109],"proper":[35],"can":[37,50],"be":[38,51],"rendered":[39],"NI":[40,97],"using":[41],"full":[42],"if":[45,48],"only":[47],"it":[49],"output":[52,82],"transformed":[53],"into":[54],"system,":[56],"has":[58],"relative":[59],"degree":[60],"less":[61],"than":[62],"or":[63],"equal":[64],"two":[66],"weakly":[69],"minimum":[70],"phase.":[71],"We":[72],"also":[73],"considered":[74],"the":[75,96,120,124],"problems":[76],"of":[77,126],"equivalence":[80,100],"systems":[86],"strongly":[88],"strict":[89],"systems.":[92],"Then":[93],"apply":[95],"result":[101],"robustly":[103],"stabilize":[104],"an":[105,128],"uncertain":[106,129],"with":[108],"uncertainty.":[112],"A":[113],"real-world":[114],"example":[115],"provided":[117],"illustrate":[119],"proposed":[121],"results,":[122],"for":[123],"purpose":[125],"stabilizing":[127]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}