{"id":"https://openalex.org/W2972911021","doi":"https://doi.org/10.23919/acc.2019.8815216","title":"Computation of Non-iterative Optimal Linear Quadratic Controllers using Krotov's Sufficient Conditions","display_name":"Computation of Non-iterative Optimal Linear Quadratic Controllers using Krotov's Sufficient Conditions","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2972911021","doi":"https://doi.org/10.23919/acc.2019.8815216","mag":"2972911021"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2019.8815216","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2019.8815216","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 American Control Conference (ACC)","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/A5102024670","display_name":"Avinash Kumar","orcid":"https://orcid.org/0000-0001-9021-1343"},"institutions":[{"id":"https://openalex.org/I9579091","display_name":"Indian Institute of Technology Mandi","ror":"https://ror.org/05r9r2f34","country_code":"IN","type":"education","lineage":["https://openalex.org/I9579091"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Avinash Kumar","raw_affiliation_strings":["Indian Institute of Technology Mandi, School of Computing and Electrical Engineering, Himachal Pradesh, 175005, India","Indian Institute of Technology Mandi, School of Computing and Electrical Engineering, Himachal Pradesh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Mandi, School of Computing and Electrical Engineering, Himachal Pradesh, 175005, India","institution_ids":["https://openalex.org/I9579091"]},{"raw_affiliation_string":"Indian Institute of Technology Mandi, School of Computing and Electrical Engineering, Himachal Pradesh, India","institution_ids":["https://openalex.org/I9579091"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010806251","display_name":"Tushar Jain","orcid":"https://orcid.org/0000-0003-2300-1375"},"institutions":[{"id":"https://openalex.org/I9579091","display_name":"Indian Institute of Technology Mandi","ror":"https://ror.org/05r9r2f34","country_code":"IN","type":"education","lineage":["https://openalex.org/I9579091"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Tushar Jain","raw_affiliation_strings":["Indian Institute of Technology Mandi, School of Computing and Electrical Engineering, Himachal Pradesh, 175005, India","Indian Institute of Technology Mandi, School of Computing and Electrical Engineering, Himachal Pradesh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Mandi, School of Computing and Electrical Engineering, Himachal Pradesh, 175005, India","institution_ids":["https://openalex.org/I9579091"]},{"raw_affiliation_string":"Indian Institute of Technology Mandi, School of Computing and Electrical Engineering, Himachal Pradesh, India","institution_ids":["https://openalex.org/I9579091"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8431,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74343644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"4923","last_page":"4928"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9995999932289124,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9995999932289124,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9983000159263611,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9975000023841858,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6790872812271118},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6385623812675476},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5527262091636658},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5433668494224548},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5296504497528076},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.51479172706604},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5108808875083923},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5078025460243225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48082435131073},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44428762793540955},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.43690288066864014},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4197998642921448},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19474202394485474}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6790872812271118},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6385623812675476},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5527262091636658},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5433668494224548},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5296504497528076},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.51479172706604},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5108808875083923},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5078025460243225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48082435131073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44428762793540955},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.43690288066864014},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4197998642921448},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19474202394485474},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2019.8815216","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2019.8815216","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 American Control Conference (ACC)","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":25,"referenced_works":["https://openalex.org/W1487586009","https://openalex.org/W1492186721","https://openalex.org/W1522531528","https://openalex.org/W1547397412","https://openalex.org/W1605705576","https://openalex.org/W1969652049","https://openalex.org/W1975962781","https://openalex.org/W2002357820","https://openalex.org/W2007641405","https://openalex.org/W2017527290","https://openalex.org/W2091510786","https://openalex.org/W2104128408","https://openalex.org/W2167357164","https://openalex.org/W2296319761","https://openalex.org/W2312348081","https://openalex.org/W2592624518","https://openalex.org/W2597396190","https://openalex.org/W2789599612","https://openalex.org/W2843850107","https://openalex.org/W2965890131","https://openalex.org/W2993919847","https://openalex.org/W2994729479","https://openalex.org/W4250589301","https://openalex.org/W6734065821","https://openalex.org/W6766693855"],"related_works":["https://openalex.org/W2047206873","https://openalex.org/W2756132392","https://openalex.org/W3035814349","https://openalex.org/W4285101096","https://openalex.org/W4320477335","https://openalex.org/W2518949622","https://openalex.org/W4382725876","https://openalex.org/W2084892497","https://openalex.org/W2115614142","https://openalex.org/W2275184629"],"abstract_inverted_index":{"This":[0,26],"paper":[1],"revisits":[2],"the":[3,7,17,31,37,52,75,112,124,130,144],"problem":[4,41,84,134,138],"of":[5,33,36,54,80,123,143],"synthesizing":[6,111],"optimal":[8,19,39,114],"control":[9,20,40,115],"law":[10,116],"for":[11,51,96,110],"linear":[12],"time-varying":[13],"systems":[14],"by":[15,23,139],"using":[16,88,117],"global":[18,55,113],"framework":[21],"introduced":[22],"Vadim":[24],"Krotov.":[25],"approach":[27],"is":[28,71,85,153],"based":[29,57],"on":[30,58],"idea":[32],"total":[34],"decomposition":[35],"original":[38,76],"(OCP)":[42],"with":[43],"respect":[44],"to":[45,65,74,156],"time":[46],"thereby":[47],"providing":[48],"sufficient":[49,119],"conditions":[50],"existence":[53],"solution":[56,79],"another":[59],"optimization":[60,83,133],"problem,":[61],"which":[62,91],"turns":[63],"out":[64],"be":[66,94],"nonlinear":[67],"and":[68,70],"non-convex,":[69],"completely":[72],"equivalent":[73,82,131],"OCP.":[77],"The":[78,121],"this":[81,103],"usually":[86],"computed":[87],"iterative":[89,159],"methods":[90],"may":[92],"not":[93],"desirable":[95],"deploying":[97],"low-cost":[98],"hardware":[99],"in":[100,128],"industry.":[101],"In":[102],"paper,":[104],"we":[105],"propose":[106],"a":[107,136,140],"novel":[108],"method":[109,126],"these":[118],"conditions.":[120],"novelty":[122],"proposed":[125],"lies":[127],"transforming":[129],"non-convex":[132],"into":[135],"convex":[137],"judicious":[141],"choice":[142],"so-called":[145],"Krotov":[146],"functions.":[147],"As":[148],"an":[149,158],"immediate":[150],"consequence,":[151],"there":[152],"no":[154],"need":[155],"compute":[157],"solution.":[160]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
