{"id":"https://openalex.org/W2125439628","doi":"https://doi.org/10.1109/acc.2008.4587275","title":"Robust control and time-domain specifications for systems of delay differential equations via eigenvalue assignment","display_name":"Robust control and time-domain specifications for systems of delay differential equations via eigenvalue assignment","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2125439628","doi":"https://doi.org/10.1109/acc.2008.4587275","mag":"2125439628"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2008.4587275","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2008.4587275","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 American Control Conference","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/A5101690399","display_name":"Sun Yi","orcid":"https://orcid.org/0000-0001-6375-3104"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sun Yi","raw_affiliation_strings":["Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA","Dept of Mech Eng, Univ of Michigan, Ann Arbor, MI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Dept of Mech Eng, Univ of Michigan, Ann Arbor, MI","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103166555","display_name":"Patrick W. Nelson","orcid":"https://orcid.org/0000-0001-8751-2719"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Patrick W. Nelson","raw_affiliation_strings":["Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","Department of Mathematics, University of Michigan, Ann Arbor, 48109-1109, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, 48109-1109, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067097078","display_name":"A. Galip Ulsoy","orcid":"https://orcid.org/0000-0002-0808-0602"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Galip Ulsoy","raw_affiliation_strings":["Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA","Department of Mechanical Engineering, University of Michigan, Ann Arbor 48109-2125, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Mechanical Engineering, University of Michigan, Ann Arbor 48109-2125, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":1.9336,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83292383,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"38","issue":null,"first_page":"4928","last_page":"4933"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","score":0.9876999855041504,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9810000061988831,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6918648481369019},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.5976423025131226},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5576089024543762},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5541620254516602},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5349527597427368},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5308690071105957},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.49630075693130493},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.476767361164093},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.4627523422241211},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44474494457244873},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3556693494319916},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3286095857620239},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15076309442520142},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08178004622459412}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6918648481369019},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.5976423025131226},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5576089024543762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5541620254516602},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5349527597427368},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5308690071105957},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.49630075693130493},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.476767361164093},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.4627523422241211},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44474494457244873},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3556693494319916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3286095857620239},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15076309442520142},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08178004622459412},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2008.4587275","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2008.4587275","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W65153156","https://openalex.org/W1193630639","https://openalex.org/W1514611498","https://openalex.org/W1550838894","https://openalex.org/W1607633954","https://openalex.org/W1965880522","https://openalex.org/W1969960190","https://openalex.org/W1981359623","https://openalex.org/W1996364086","https://openalex.org/W2014172170","https://openalex.org/W2024419968","https://openalex.org/W2026319042","https://openalex.org/W2027832948","https://openalex.org/W2044416807","https://openalex.org/W2047761850","https://openalex.org/W2050649877","https://openalex.org/W2054490147","https://openalex.org/W2064264813","https://openalex.org/W2066613021","https://openalex.org/W2068728923","https://openalex.org/W2070065489","https://openalex.org/W2096762102","https://openalex.org/W2106689163","https://openalex.org/W2116937896","https://openalex.org/W2148088470","https://openalex.org/W2161443002","https://openalex.org/W2162509049","https://openalex.org/W2167244272","https://openalex.org/W2168196357","https://openalex.org/W2963060877","https://openalex.org/W3169436701","https://openalex.org/W4211202937","https://openalex.org/W4285719527","https://openalex.org/W4293087381"],"related_works":["https://openalex.org/W2012779601","https://openalex.org/W3101105968","https://openalex.org/W1261320338","https://openalex.org/W2056281781","https://openalex.org/W2942981489","https://openalex.org/W4388738562","https://openalex.org/W2924035449","https://openalex.org/W2086307616","https://openalex.org/W4243954292","https://openalex.org/W2043671984"],"abstract_inverted_index":{"An":[0],"approach":[1],"for":[2,5,27,92],"eigenvalue":[3,114],"assignment":[4,115],"systems":[6,29,97,107],"of":[7,23,30,36,47,58,68,84,96,98,108],"delay":[8],"differential":[9,110],"equations":[10,111],"(DDEs),":[11],"based":[12],"upon":[13],"the":[14,21,34,45,69,72,78,81,85,93,113],"Lambert":[15],"W":[16],"function,":[17],"is":[18,87],"applied":[19],"to":[20,33,50,106],"problem":[22,35],"robust":[24],"control":[25],"design":[26],"perturbed":[28],"DDEs,":[31],"and":[32],"time-domain":[37,90],"specifications.":[38],"The":[39],"real":[40,59,82],"stability":[41,53,79],"radius,":[42,80],"which":[43],"measures":[44],"ability":[46],"a":[48,55,103],"system":[49],"preserve":[51],"its":[52],"under":[54],"certain":[56],"class":[57],"perturbations,":[60],"can":[61],"be":[62],"computed":[63],"from":[64],"known":[65],"nominal":[66],"coefficients":[67],"DDE":[70],"representing":[71],"system.":[73],"In":[74],"this":[75],"paper,":[76],"considering":[77],"part":[83],"eigenvalues":[86],"assigned.":[88],"Also,":[89],"specifications":[91],"transient":[94],"response":[95],"DDEs":[99],"are":[100],"improved":[101],"in":[102],"way":[104],"similar":[105],"ordinary":[109],"using":[112],"approach.":[116]},"counts_by_year":[{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}