{"id":"https://openalex.org/W4390749062","doi":"https://doi.org/10.1109/tase.2023.3349068","title":"Prescribed-Time Optimal Control of Nonlinear Dynamical Systems With Application to a Coupled Tank System","display_name":"Prescribed-Time Optimal Control of Nonlinear Dynamical Systems With Application to a Coupled Tank System","publication_year":2024,"publication_date":"2024-01-09","ids":{"openalex":"https://openalex.org/W4390749062","doi":"https://doi.org/10.1109/tase.2023.3349068"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2023.3349068","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3349068","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-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/A5070742181","display_name":"Vijay Kumar Singh","orcid":"https://orcid.org/0000-0001-5056-5163"},"institutions":[{"id":"https://openalex.org/I162030827","display_name":"Thapar Institute of Engineering & Technology","ror":"https://ror.org/00wdq3744","country_code":"IN","type":"education","lineage":["https://openalex.org/I162030827"]},{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Vijay Kumar Singh","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, Uttar Pradesh, India","Mechanical Engineering Department, Thapar Institute of Engineering and Technology, Patiala, Punjab, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, Uttar Pradesh, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"raw_affiliation_string":"Mechanical Engineering Department, Thapar Institute of Engineering and Technology, Patiala, Punjab, India","institution_ids":["https://openalex.org/I162030827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071068482","display_name":"Shyam Kamal","orcid":"https://orcid.org/0000-0001-7476-989X"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shyam Kamal","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, Uttar Pradesh, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, Uttar Pradesh, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070826172","display_name":"B. Bandyopadhyay","orcid":"https://orcid.org/0000-0003-1255-0352"},"institutions":[{"id":"https://openalex.org/I154549908","display_name":"Indian Institute of Technology Jodhpur","ror":"https://ror.org/03yacj906","country_code":"IN","type":"education","lineage":["https://openalex.org/I154549908"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Bijnan Bandyopadhyay","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Jodhpur, Rajasthan, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Jodhpur, Rajasthan, India","institution_ids":["https://openalex.org/I154549908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016475359","display_name":"Sandip Ghosh","orcid":"https://orcid.org/0000-0002-5401-3128"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sandip Ghosh","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, Uttar Pradesh, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, Uttar Pradesh, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031832002","display_name":"Thach Ngoc Dinh","orcid":"https://orcid.org/0000-0001-8827-0993"},"institutions":[{"id":"https://openalex.org/I124158823","display_name":"Conservatoire National des Arts et M\u00e9tiers","ror":"https://ror.org/0175hh227","country_code":"FR","type":"education","lineage":["https://openalex.org/I124158823","https://openalex.org/I4210134562"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thach Ngoc Dinh","raw_affiliation_strings":["Cedric Laboratory, Conservatoire National des Arts et M&#x00E9;tiers (CNAM), Paris, France"],"affiliations":[{"raw_affiliation_string":"Cedric Laboratory, Conservatoire National des Arts et M&#x00E9;tiers (CNAM), Paris, France","institution_ids":["https://openalex.org/I124158823"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5070742181"],"corresponding_institution_ids":["https://openalex.org/I162030827","https://openalex.org/I56404289","https://openalex.org/I91357014"],"apc_list":null,"apc_paid":null,"fwci":8.2112,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.98092269,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"22","issue":null,"first_page":"191","last_page":"201"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9945999979972839,"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":0.9945999979972839,"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/T12910","display_name":"Eicosanoids and Hypertension Pharmacology","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1303","display_name":"Biochemistry"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9871000051498413,"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/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6953538060188293},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.673126220703125},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6385839581489563},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5985528230667114},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5663741230964661},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5432868599891663},{"id":"https://openalex.org/keywords/robotics","display_name":"Robotics","score":0.5015213489532471},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43623900413513184},{"id":"https://openalex.org/keywords/strict-feedback-form","display_name":"Strict-feedback form","score":0.43091896176338196},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.4194273352622986},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3832325339317322},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.38282305002212524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3293253779411316},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28955042362213135},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.23729878664016724},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.1834230124950409},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18074873089790344},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.10735243558883667}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6953538060188293},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.673126220703125},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6385839581489563},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5985528230667114},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5663741230964661},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5432868599891663},{"id":"https://openalex.org/C34413123","wikidata":"https://www.wikidata.org/wiki/Q170978","display_name":"Robotics","level":3,"score":0.5015213489532471},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43623900413513184},{"id":"https://openalex.org/C121047784","wikidata":"https://www.wikidata.org/wiki/Q7623607","display_name":"Strict-feedback form","level":5,"score":0.43091896176338196},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.4194273352622986},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3832325339317322},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.38282305002212524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3293253779411316},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28955042362213135},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.23729878664016724},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.1834230124950409},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18074873089790344},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.10735243558883667},{"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/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tase.2023.3349068","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3349068","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04410216v1","is_oa":false,"landing_page_url":"https://cnam.hal.science/hal-04410216","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automation Science and Engineering, 2024, pp.1-11. &#x27E8;10.1109/TASE.2023.3349068&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6700000166893005,"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1987753994","https://openalex.org/W1999213690","https://openalex.org/W2004290356","https://openalex.org/W2015113370","https://openalex.org/W2023894954","https://openalex.org/W2024162902","https://openalex.org/W2040890681","https://openalex.org/W2045005985","https://openalex.org/W2136605942","https://openalex.org/W2309350575","https://openalex.org/W2583151497","https://openalex.org/W2732330082","https://openalex.org/W2738417046","https://openalex.org/W2789303762","https://openalex.org/W2990668594","https://openalex.org/W3033713586","https://openalex.org/W3048265268","https://openalex.org/W3186624155","https://openalex.org/W3216449291","https://openalex.org/W4205547472","https://openalex.org/W4297983996","https://openalex.org/W4306246755","https://openalex.org/W4313480714","https://openalex.org/W4320015935","https://openalex.org/W4321021367","https://openalex.org/W4321484091","https://openalex.org/W4321609144","https://openalex.org/W4366308784","https://openalex.org/W4382364278","https://openalex.org/W4385656692","https://openalex.org/W4388918326"],"related_works":["https://openalex.org/W2892659929","https://openalex.org/W4230398471","https://openalex.org/W2116135673","https://openalex.org/W2075592122","https://openalex.org/W562368494","https://openalex.org/W3173277339","https://openalex.org/W645921674","https://openalex.org/W2099880486","https://openalex.org/W1975580134","https://openalex.org/W2731064212"],"abstract_inverted_index":{"This":[0,60,234],"article":[1,27,133],"presents":[2],"a":[3,77,86,112,146,163,199,204,209,222,255,265,293,306],"solution":[4,211],"to":[5,21,130,197,239,264],"the":[6,37,64,96,99,107,119,137,191,240,275,288,298,311],"problem":[7],"of":[8,39,79,88,98,111,139,149,193,257,268,277,313],"achieving":[9],"optimal":[10,51,80,141,224,258,301,314],"prescribed-time":[11,23,34,52,72,81,225,250,259,300],"stability":[12,35,169],"and":[13,71,104,170,185,249,315],"stabilization":[14,53,171,226,280],"for":[15,33,85,145,212,319],"nonlinear":[16,90,150,194,270,320],"dynamical":[17,91,151,195,271,321],"systems.":[18,92,272],"In":[19,157,217],"contrast":[20],"existing":[22],"control":[24,83,143,182,261,303,317],"methods,":[25],"this":[26,218],"initiates":[28],"by":[29,136,174],"establishing":[30],"sufficient":[31],"conditions":[32],"through":[36,102],"use":[38],"continuous":[40],"Lyapunov":[41],"candidate":[42],"functions.":[43],"Building":[44],"upon":[45],"these":[46],"conditions,":[47],"we":[48,75,94,220,253,282],"introduce":[49,221],"an":[50],"method":[54,61,227,235],"that":[55,118,228,325],"incorporates":[56],"specific":[57,147,231],"differential":[58,232],"inequalities.":[59,233],"complies":[62],"with":[63,123],"Hamilton-Jacobi-Bellman":[65,241],"steady-state":[66,242],"equation,":[67],"ensuring":[68,117],"both":[69,247],"optimality":[70,248],"stability.":[73,251],"Furthermore,":[74,252],"derive":[76,254],"set":[78],"stabilizing":[82,260],"laws":[84,262],"class":[87,148,267],"affine":[89,269],"Finally,":[93],"demonstrate":[95],"effectiveness":[97,276],"proposed":[100,279],"approach":[101],"simulations":[103],"experiments":[105,284],"involving":[106],"reference":[108],"level":[109,291],"tracking":[110,120,287],"coupled":[113,294],"tank":[114,295],"system,":[115],"thus":[116],"performance":[121],"aligns":[122],"practical":[124,330],"user":[125],"specifications":[126],"<italic":[127],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[128],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">Note":[129],"Practitioners</i>":[131],"\u2014This":[132],"was":[134],"instigated":[135],"challenge":[138],"devising":[140],"feedback":[142,302],"strategies":[144],"systems":[152,196],"at":[153],"predetermined":[154],"time":[155,168],"instances.":[156],"recent":[158],"years,":[159],"there":[160],"has":[161],"been":[162],"growing":[164],"interest":[165],"in":[166,310,329],"prescribed":[167],"approaches,":[172],"driven":[173],"their":[175],"potential":[176],"applications":[177],"across":[178],"diverse":[179],"fields,":[180],"including":[181],"engineering,":[183],"robotics,":[184],"aerospace":[186],"engineering.":[187],"These":[188],"methods":[189,318],"facilitate":[190],"regulation":[192],"reach":[198],"desired":[200,289],"steady":[201],"state":[202],"within":[203,292],"predefined":[205],"finite":[206],"time,":[207],"offering":[208,323],"valuable":[210],"situations":[213],"demanding":[214],"rapid":[215],"stabilization.":[216],"article,":[219],"novel":[223],"relies":[229],"on":[230,286],"not":[236],"only":[237],"adheres":[238],"equation":[243],"but":[244],"also":[245],"guarantees":[246],"family":[256],"tailored":[263],"particular":[266],"To":[273],"validate":[274],"our":[278],"approach,":[281],"conduct":[283],"focusing":[285],"water":[290],"system.":[296],"Ultimately,":[297],"presented":[299],"strategy":[304],"marks":[305],"significant":[307],"stride":[308],"forward":[309],"advancement":[312],"efficient":[316],"systems,":[322],"solutions":[324],"hold":[326],"immense":[327],"promise":[328],"applications.":[331]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":6}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}