{"id":"https://openalex.org/W1970335363","doi":"https://doi.org/10.1109/acc.2000.876730","title":"Stability of scheduled sub-optimal feedback control","display_name":"Stability of scheduled sub-optimal feedback control","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1970335363","doi":"https://doi.org/10.1109/acc.2000.876730","mag":"1970335363"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2000.876730","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2000.876730","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334)","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/A5091815113","display_name":"Marwan Bikdash","orcid":"https://orcid.org/0000-0002-7333-8227"},"institutions":[{"id":"https://openalex.org/I35777872","display_name":"North Carolina Agricultural and Technical State University","ror":"https://ror.org/02aze4h65","country_code":"US","type":"education","lineage":["https://openalex.org/I35777872"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M.U. Bikdash","raw_affiliation_strings":["Department of Electrical Engineering, North Carolina Agriculture and Technical State University, Greensboro, NC, USA","[Dept. of Electr. Eng. North Carolina A&T State Univ., Greensboro, NC, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, North Carolina Agriculture and Technical State University, Greensboro, NC, USA","institution_ids":["https://openalex.org/I35777872"]},{"raw_affiliation_string":"[Dept. of Electr. Eng. North Carolina A&T State Univ., Greensboro, NC, USA]","institution_ids":["https://openalex.org/I35777872"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091815113"],"corresponding_institution_ids":["https://openalex.org/I35777872"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17511521,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":null,"first_page":"1395","last_page":"1399 vol.2"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9965000152587891,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9958999752998352,"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/control-theory","display_name":"Control theory (sociology)","score":0.6778165102005005},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.6392248868942261},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6109899282455444},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.5992680191993713},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5724774599075317},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5527665019035339},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5153736472129822},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5033079981803894},{"id":"https://openalex.org/keywords/gain-scheduling","display_name":"Gain scheduling","score":0.4914919137954712},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3756221532821655},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2852092385292053},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06717085838317871}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6778165102005005},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.6392248868942261},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6109899282455444},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.5992680191993713},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5724774599075317},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5527665019035339},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5153736472129822},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5033079981803894},{"id":"https://openalex.org/C97090092","wikidata":"https://www.wikidata.org/wiki/Q764612","display_name":"Gain scheduling","level":3,"score":0.4914919137954712},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3756221532821655},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2852092385292053},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06717085838317871},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2000.876730","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2000.876730","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W215279382","https://openalex.org/W1966642581","https://openalex.org/W1988472059","https://openalex.org/W2013008232","https://openalex.org/W2062724719","https://openalex.org/W2142704646"],"related_works":["https://openalex.org/W4251428025","https://openalex.org/W4289867043","https://openalex.org/W2784467519","https://openalex.org/W2366459771","https://openalex.org/W1973736094","https://openalex.org/W2350707375","https://openalex.org/W2377881809","https://openalex.org/W2355516922","https://openalex.org/W1959408986","https://openalex.org/W2988424716"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,22],"general":[3],"approach":[4],"to":[5,46,60,68,73],"proving":[6],"the":[7,14,19,36,40,44,66,70,85,91,97,100,108],"stability":[8,57],"of":[9,21,39,99],"gain-scheduled":[10],"control":[11,25],"laws":[12],"when":[13,107],"gains":[15,28,64,93],"are":[16,94],"obtained":[17],"as":[18],"solution":[20],"soft-constrained":[23],"time-optimal":[24],"problem.":[26],"Usually":[27],"can":[29,77],"be":[30,49,78],"computed":[31,50],"off-line":[32],"and":[33,90],"stored":[34],"but":[35],"optimum":[37,71],"value":[38],"scheduling":[41,76,109],"variable,":[42],"here":[43],"time":[45,72],"go,":[47],"must":[48],"online,":[51],"which":[52],"is":[53,88,110],"generally":[54],"problematic.":[55],"The":[56,75],"proof":[58],"allows":[59],"have":[61],"stable":[62,105],"scheduled":[63],"without":[65],"need":[67],"compute":[69],"go.":[74],"very":[79],"simple":[80],"and/or":[81],"quasi-optimal.":[82],"Remarkably,":[83],"if":[84],"system":[86,102],"matrix":[87],"nonsingular":[89],"optimal":[92],"used,":[95],"then":[96],"origin":[98],"closed-loop":[101],"remains":[103],"asymptotically":[104],"even":[106],"sloppy.":[111]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}