{"id":"https://openalex.org/W2109930037","doi":"https://doi.org/10.1109/acc.2009.5160676","title":"On the transient control of Linear Time Invariant systems","display_name":"On the transient control of Linear Time Invariant systems","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2109930037","doi":"https://doi.org/10.1109/acc.2009.5160676","mag":"2109930037"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2009.5160676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2009.5160676","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 American Control Conference","raw_type":"proceedings-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/A5052986525","display_name":"Waqar Malik","orcid":"https://orcid.org/0000-0001-7996-4635"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Waqar A. Malik","raw_affiliation_strings":["Department of Mechanical Engineering, Texas A and M University, College Station, TX, USA","Dept. of Mechanical Engg., Texas A&M University, College Station, 77843, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Dept. of Mechanical Engg., Texas A&M University, College Station, 77843, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102875083","display_name":"Swaroop Darbha","orcid":"https://orcid.org/0000-0001-8377-0657"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Swaroop Darbha","raw_affiliation_strings":["Department of Mechanical Engineering, Texas A and M University, College Station, TX, USA","Dept. of Mechanical Engg., Texas A&M University, College Station, 77843, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Dept. of Mechanical Engg., Texas A&M University, College Station, 77843, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041121124","display_name":"S.P. Bhattacharyya","orcid":"https://orcid.org/0000-0001-9207-3298"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. P. Bhattacharyya","raw_affiliation_strings":["Department of Electrical Engineering, Texas A and M University, College Station, TX, USA","Department of Electrical Engineering, Texas A&M University, College Station, 77843 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Electrical Engineering, Texas A&M University, College Station, 77843 USA","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":1.5276,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.85896979,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"3142","last_page":"3147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.998199999332428,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.998199999332428,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9869999885559082,"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/T11236","display_name":"Control Systems and Identification","score":0.9825999736785889,"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/transfer-function","display_name":"Transfer function","score":0.6332120895385742},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5912750363349915},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5761638283729553},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5475842952728271},{"id":"https://openalex.org/keywords/impulse-response","display_name":"Impulse response","score":0.5252178311347961},{"id":"https://openalex.org/keywords/transient-response","display_name":"Transient response","score":0.5229195356369019},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.508223295211792},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4989352226257324},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.4550125002861023},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43549564480781555},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.42382338643074036},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3698294758796692},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2673293352127075},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22895389795303345},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16315707564353943},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1165948212146759}],"concepts":[{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6332120895385742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5912750363349915},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5761638283729553},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5475842952728271},{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.5252178311347961},{"id":"https://openalex.org/C85761212","wikidata":"https://www.wikidata.org/wiki/Q1974593","display_name":"Transient response","level":2,"score":0.5229195356369019},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.508223295211792},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4989352226257324},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.4550125002861023},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43549564480781555},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.42382338643074036},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3698294758796692},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2673293352127075},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22895389795303345},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16315707564353943},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1165948212146759},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2009.5160676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2009.5160676","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1484852806","https://openalex.org/W1485734052","https://openalex.org/W1551513594","https://openalex.org/W1989372794","https://openalex.org/W2002270086","https://openalex.org/W2011700425","https://openalex.org/W2048974137","https://openalex.org/W2056630950","https://openalex.org/W2062578179","https://openalex.org/W2079215040","https://openalex.org/W2113760235","https://openalex.org/W2118389728","https://openalex.org/W2128735806","https://openalex.org/W2130588607","https://openalex.org/W2133851133","https://openalex.org/W2140357316","https://openalex.org/W2171380521","https://openalex.org/W2587831562","https://openalex.org/W3145689461","https://openalex.org/W4229803018","https://openalex.org/W6632871435"],"related_works":["https://openalex.org/W1995144903","https://openalex.org/W4248476026","https://openalex.org/W2065850375","https://openalex.org/W2089389288","https://openalex.org/W2439220085","https://openalex.org/W2371063555","https://openalex.org/W2001543242","https://openalex.org/W1966770547","https://openalex.org/W2052162120","https://openalex.org/W2140275217"],"abstract_inverted_index":{"Practical":[0],"problems":[1],"require":[2],"the":[3,21,44,54,68,85,121,124,141,147,183,210],"synthesis":[4,184],"of":[5,8,23,31,46,50,58,67,74,76,87,123,146,149,155,157,195,209,213],"a":[6,18,48,82,93,104,170,178,193],"set":[7,49,86,148,212],"stabilizing":[9,51,150],"controllers":[10,52],"that":[11,92,120,188],"guarantee":[12],"transient":[13],"performance":[14],"specifications":[15,33],"such":[16],"as":[17],"bound":[19,83],"on":[20],"overshoot":[22],"its":[24],"closed":[25],"loop":[26],"step":[27],"response.":[28,108,181],"A":[29],"majority":[30],"these":[32,189],"for":[34,84,169],"linear":[35],"time":[36],"invariant":[37],"(LTI)":[38],"systems":[39],"can":[40],"be":[41],"converted":[42],"to":[43,80,176],"requirement":[45],"synthesizing":[47],"guaranteeing":[53],"non-negative":[55,106,179],"impulse":[56,107,180],"response":[57],"an":[59,144,206],"appropriate":[60],"transfer":[61,96,174],"function":[62,175],"whose":[63],"coefficients":[64,122],"are":[65,133],"functions":[66],"controller":[69,151],"parameters.":[70],"The":[71],"main":[72],"topic":[73],"investigation":[75],"this":[77,161],"paper":[78],"is":[79],"find":[81],"control":[88],"parameters,":[89],"K,":[90],"so":[91],"rational,":[94],"proper":[95,172],"function,":[97],"N":[98,126],"(z,":[99,101,127,131],"K)/D":[100],"K)":[102,128,132],"has":[103],"decaying,":[105],"For":[109,182],"single":[110,112],"input":[111],"output":[113],"(SISO)":[114],"LTI":[115],"systems,":[116],"one":[117],"may":[118],"assume":[119],"polynomials":[125],"and":[129,166],"D":[130],"affine":[134],"in":[135,153,199],"K.":[136],"An":[137],"earlier":[138],"result":[139],"by":[140],"authors":[142],"provides":[143],"approximation":[145,208],"parameters":[152],"terms":[154],"unions":[156],"polyhedral":[158],"sets.":[159],"In":[160],"paper,":[162],"we":[163,186],"provide":[164],"necessary":[165],"sufficient":[167],"conditions":[168,190],"rational":[171],"stable":[173],"have":[177],"problem,":[185],"show":[187],"translate":[191],"into":[192],"sequence":[194],"polynomial":[196],"matrix":[197,214],"inequalities":[198,215],"K":[200],"using":[201,216],"Markov-Lucaks'":[202],"theorem.":[203],"We":[204],"propose":[205],"outer":[207],"feasible":[211],"Lasserre's":[217],"moment":[218],"method.":[219]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
