{"id":"https://openalex.org/W4407128441","doi":"https://doi.org/10.1109/tac.2025.3538467","title":"New Method for SISO Strong Stabilization With Advantages Over Nevanlinna\u2013Pick Interpolation","display_name":"New Method for SISO Strong Stabilization With Advantages Over Nevanlinna\u2013Pick Interpolation","publication_year":2025,"publication_date":"2025-02-04","ids":{"openalex":"https://openalex.org/W4407128441","doi":"https://doi.org/10.1109/tac.2025.3538467"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2025.3538467","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3538467","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/A5074779062","display_name":"Abdul Hannan Faruqi","orcid":"https://orcid.org/0000-0002-8983-5105"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Abdul Hannan Faruqi","raw_affiliation_strings":["Department of Mechanical Engineering, IIT Kanpur, Kanpur, Uttar Pradesh, India"],"raw_orcid":"https://orcid.org/0000-0002-8983-5105","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, IIT Kanpur, Kanpur, Uttar Pradesh, India","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111400723","display_name":"Chatterjee Anindya","orcid":"https://orcid.org/0009-0006-1607-8349"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anindya Chatterjee","raw_affiliation_strings":["Department of Mechanical Engineering, IIT Kanpur, Kanpur, Uttar Pradesh, India"],"raw_orcid":"https://orcid.org/0009-0006-1607-8349","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, IIT Kanpur, Kanpur, Uttar Pradesh, India","institution_ids":["https://openalex.org/I94234084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074779062"],"corresponding_institution_ids":["https://openalex.org/I94234084"],"apc_list":null,"apc_paid":null,"fwci":14.3633,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.97859964,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"70","issue":"7","first_page":"4774","last_page":"4779"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11096","display_name":"Aeroelasticity and Vibration Control","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11096","display_name":"Aeroelasticity and Vibration Control","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9829000234603882,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.7042862176895142},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6101715564727783},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5013997554779053},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4277312159538269},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4219372272491455},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3597157299518585},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23969244956970215},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1447731852531433},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.05378258228302002}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7042862176895142},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6101715564727783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5013997554779053},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4277312159538269},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4219372272491455},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3597157299518585},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23969244956970215},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1447731852531433},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.05378258228302002}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2025.3538467","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3538467","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1822993497","https://openalex.org/W1996215481","https://openalex.org/W1996336041","https://openalex.org/W2014076462","https://openalex.org/W2084500162","https://openalex.org/W2110177728","https://openalex.org/W2121117794","https://openalex.org/W2169977208","https://openalex.org/W2595897327","https://openalex.org/W2801745121","https://openalex.org/W2995064424","https://openalex.org/W3114338741","https://openalex.org/W3183331804","https://openalex.org/W4220907224","https://openalex.org/W4361769039","https://openalex.org/W4391566859"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Linear":[0],"time-invariant":[1],"(LTI)":[2],"single-input\u2013single-output":[3],"(SISO)":[4],"systems":[5],"which":[6],"satisfy":[7],"a":[8,17,21,78,88],"parity":[9],"interlacing":[10],"property":[11],"(PIP)":[12],"can":[13],"be":[14,137],"stabilized":[15],"with":[16,31,52,202],"stable":[18],"controller":[19],"in":[20,129],"single":[22],"feedback":[23],"loop.":[24],"We":[25,86,200],"consider":[26],"such":[27,43],"stabilization":[28],"of":[29,35,91,140,147,189],"plants":[30],"rational":[32],"transfer":[33],"functions":[34],"relative":[36],"degree":[37],"0,":[38],"1,":[39],"or":[40,123],"2.":[41],"Finding":[42],"controllers":[44],"requires":[45],"an":[46,64],"interpolant":[47,90,113],"<inline-formula":[48,59,94,103,116,125,154,168,177,182,192],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[49,60,95,104,117,126,155,169,178,183,193],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[50,61,96,105,118,127,156,170,179,184,194],"notation=\"LaTeX\">$U(s)$</tex-math></inline-formula>":[51,62],"specific":[53],"properties.":[54],"Existing":[55],"methods":[56],"for":[57,174],"finding":[58],"use":[63],"iterative":[65],"manual":[66],"calculation":[67,80],"or,":[68],"when":[69],"the":[70,83,92,148,161,164,191],"plant's":[71],"right":[72,143],"half":[73,144],"plane":[74,145],"zeros":[75,146],"are":[76,150,158,172],"simple,":[77],"matrix":[79],"based":[81],"on":[82],"Nevanlinna\u2013Pick":[84],"interpolation.":[85],"present":[87],"new":[89],"form":[93],"notation=\"LaTeX\">$":[97],"\\prod":[98],"_{i}":[99],"\\left(\\frac{s+a_{i}}{s+b_{i}}\\right)":[100],"^{m_{i}}$</tex-math></inline-formula>,":[101],"where":[102],"notation=\"LaTeX\">$a_{i},":[106],"b_{i}":[107],"&gt;":[108],"0$</tex-math></inline-formula>.":[109],"While":[110],"our":[111,134],"final":[112],"has":[114],"integer":[115,167,198],"notation=\"LaTeX\">$m$</tex-math></inline-formula>\u2019s,":[119],"we":[120],"allow":[121],"noninteger":[122],"real":[124],"notation=\"LaTeX\">$m$</tex-math></inline-formula>\u2019s":[128,157,171,195],"intermediate":[130],"calculations.":[131],"This":[132],"allows":[133],"search":[135],"to":[136],"continuous":[138],"instead":[139],"discrete.":[141],"Repeated":[142],"plant":[149,162],"accommodated":[151],"easily.":[152],"Real":[153],"obtained":[159,173],"whenever":[160],"satisfies":[163],"PIP,":[165],"and":[166,181],"suitably":[175],"chosen":[176],"notation=\"LaTeX\">$a$</tex-math></inline-formula>\u2019s":[180],"notation=\"LaTeX\">$b$</tex-math></inline-formula>\u2019s.":[185],"With":[186],"numerical":[187,204],"optimization":[188],"parameters,":[190],"take":[196],"moderate":[197],"values.":[199],"close":[201],"some":[203],"examples.":[205]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}
