{"id":"https://openalex.org/W2119436063","doi":"https://doi.org/10.1109/cdc.2007.4434086","title":"On the optimal control of time delay systems: a complete type functionals approach","display_name":"On the optimal control of time delay systems: a complete type functionals approach","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2119436063","doi":"https://doi.org/10.1109/cdc.2007.4434086","mag":"2119436063"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434086","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434086","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5110680777","display_name":"Omar Santos","orcid":null},"institutions":[{"id":"https://openalex.org/I104854061","display_name":"Universidad Aut\u00f3noma del Estado de Hidalgo","ror":"https://ror.org/031f8kt38","country_code":"MX","type":"education","lineage":["https://openalex.org/I104854061"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Omar Santos","raw_affiliation_strings":["CITIS-ICBI, Universidad Aut\u00f3noma del Estado de Hidalgo, Hidalgo, Mexico","Univ. Autonoma del Estado de Hidalgo, Hidalgo"],"affiliations":[{"raw_affiliation_string":"CITIS-ICBI, Universidad Aut\u00f3noma del Estado de Hidalgo, Hidalgo, Mexico","institution_ids":["https://openalex.org/I104854061"]},{"raw_affiliation_string":"Univ. Autonoma del Estado de Hidalgo, Hidalgo","institution_ids":["https://openalex.org/I104854061"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043301628","display_name":"Sabine Mondi\u00e9","orcid":"https://orcid.org/0000-0002-0968-1899"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Sabine Mondie","raw_affiliation_strings":["Department of Automatic Control, CINVESTAV, Mexico","Department of Automatic Control, CINVESTAV-IPN, A. P. 14-740, Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, CINVESTAV, Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"Department of Automatic Control, CINVESTAV-IPN, A. P. 14-740, Mexico","institution_ids":["https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110680777"],"corresponding_institution_ids":["https://openalex.org/I104854061"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.09638813,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"136","issue":null,"first_page":"6035","last_page":"6040"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9959999918937683,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9891999959945679,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6540022492408752},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.648558497428894},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5487034916877747},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5381892919540405},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5311934351921082},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5152764320373535},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4712156355381012},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42590996623039246},{"id":"https://openalex.org/keywords/linear-control-systems","display_name":"Linear control systems","score":0.4227924942970276},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.41389352083206177},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3529108166694641},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3509286642074585},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32205358147621155},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10907799005508423},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06931021809577942}],"concepts":[{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6540022492408752},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.648558497428894},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5487034916877747},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5381892919540405},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5311934351921082},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5152764320373535},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4712156355381012},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42590996623039246},{"id":"https://openalex.org/C2987686001","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Linear control systems","level":3,"score":0.4227924942970276},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.41389352083206177},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3529108166694641},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3509286642074585},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32205358147621155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10907799005508423},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06931021809577942},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434086","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434086","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1607633954","https://openalex.org/W1964894242","https://openalex.org/W1981140738","https://openalex.org/W1999830806","https://openalex.org/W2028671096","https://openalex.org/W2032494676","https://openalex.org/W2054534795","https://openalex.org/W2072288300","https://openalex.org/W2088367894","https://openalex.org/W2159003030","https://openalex.org/W2161378568","https://openalex.org/W4211202937","https://openalex.org/W6683608337"],"related_works":["https://openalex.org/W2047558453","https://openalex.org/W1999673819","https://openalex.org/W958199350","https://openalex.org/W2380695172","https://openalex.org/W1573796078","https://openalex.org/W2105827667","https://openalex.org/W2151337373","https://openalex.org/W2139754357","https://openalex.org/W2054831413","https://openalex.org/W2134933822"],"abstract_inverted_index":{"In":[0],"this":[1],"contribution,":[2],"we":[3,64],"revisit":[4],"some":[5,69],"aspects":[6],"of":[7,19,26,30,42,88],"the":[8,17,20,24,40,73,86,89],"optimal":[9],"control":[10,76,90],"problem":[11,77],"for":[12,84],"time":[13,37],"delay":[14,38],"systems":[15],"in":[16],"light":[18],"recent":[21],"contributions":[22],"on":[23],"construction":[25],"Lyapunov":[27],"Krasovskii":[28],"functionals":[29,44],"complete":[31],"type.":[32],"For":[33],"any":[34],"stable":[35],"linear":[36],"system,":[39],"existence":[41],"these":[43,62],"is":[45,92,98],"insured":[46],"and":[47,78],"they":[48,54],"can":[49],"be":[50],"easily":[51],"constructed.":[52],"Furthermore,":[53],"admit":[55],"a":[56,81],"quadratic":[57],"lower":[58],"bound.":[59],"Thanks":[60],"to":[61,67,79],"features,":[63],"are":[65],"able":[66],"give":[68],"new":[70],"insight":[71],"into":[72],"guaranteed":[74],"cost":[75],"present":[80],"performance":[82],"index":[83],"which":[85],"optimality":[87],"law":[91],"fully":[93],"established.":[94],"An":[95],"illustrative":[96],"example":[97],"discussed.":[99]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}