{"id":"https://openalex.org/W1965687381","doi":"https://doi.org/10.1007/s00521-010-0441-1","title":"Bounded robust control of nonlinear systems using neural network\u2013based HJB solution","display_name":"Bounded robust control of nonlinear systems using neural network\u2013based HJB solution","publication_year":2010,"publication_date":"2010-09-20","ids":{"openalex":"https://openalex.org/W1965687381","doi":"https://doi.org/10.1007/s00521-010-0441-1","mag":"1965687381"},"language":"en","primary_location":{"id":"doi:10.1007/s00521-010-0441-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-010-0441-1","pdf_url":null,"source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","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/A5078492697","display_name":"Dipak M. Adhyaru","orcid":"https://orcid.org/0000-0002-7906-1978"},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]},{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Dipak M. Adhyaru","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Hauz khas, New Delhi, 110016, India","Indian Institute of Technology, Department of Electrical Engineering, Hauz khas, 110016, New Delhi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Hauz khas, New Delhi, 110016, India","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Indian Institute of Technology, Department of Electrical Engineering, Hauz khas, 110016, New Delhi, India","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051297402","display_name":"Indra Narayan Kar","orcid":null},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]},{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"I. N. Kar","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Hauz khas, New Delhi, 110016, India","Indian Institute of Technology, Department of Electrical Engineering, Hauz khas, 110016, New Delhi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Hauz khas, New Delhi, 110016, India","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Indian Institute of Technology, Department of Electrical Engineering, Hauz khas, 110016, New Delhi, India","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015795749","display_name":"M. Gopal","orcid":"https://orcid.org/0000-0001-7672-5399"},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]},{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. Gopal","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Hauz khas, New Delhi, 110016, India","Indian Institute of Technology, Department of Electrical Engineering, Hauz khas, 110016, New Delhi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Hauz khas, New Delhi, 110016, India","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Indian Institute of Technology, Department of Electrical Engineering, Hauz khas, 110016, New Delhi, India","institution_ids":["https://openalex.org/I64295750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078492697"],"corresponding_institution_ids":["https://openalex.org/I64295750","https://openalex.org/I68891433"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.0921,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.90804895,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"20","issue":"1","first_page":"91","last_page":"103"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9993000030517578,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9901999831199646,"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/hamilton\u2013jacobi\u2013bellman-equation","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","score":0.962151050567627},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6051830649375916},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5994267463684082},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5843154191970825},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.57719886302948},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5016176700592041},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4861752390861511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4861609637737274},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4735915958881378},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4662802219390869},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.41489607095718384},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41149812936782837},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17199671268463135},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07983028888702393}],"concepts":[{"id":"https://openalex.org/C196978813","wikidata":"https://www.wikidata.org/wiki/Q3302775","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","level":3,"score":0.962151050567627},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6051830649375916},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5994267463684082},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5843154191970825},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.57719886302948},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5016176700592041},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4861752390861511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4861609637737274},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4735915958881378},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4662802219390869},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.41489607095718384},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41149812936782837},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17199671268463135},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07983028888702393},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00521-010-0441-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-010-0441-1","pdf_url":null,"source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W404241533","https://openalex.org/W1540541511","https://openalex.org/W1806564464","https://openalex.org/W1980801308","https://openalex.org/W1997000456","https://openalex.org/W2008092105","https://openalex.org/W2047090868","https://openalex.org/W2057484415","https://openalex.org/W2063414112","https://openalex.org/W2077543416","https://openalex.org/W2108286682","https://openalex.org/W2108984317","https://openalex.org/W2111072953","https://openalex.org/W2116676017","https://openalex.org/W2120443080","https://openalex.org/W2132209606","https://openalex.org/W2140866554","https://openalex.org/W2154868061","https://openalex.org/W2167695880","https://openalex.org/W2167757582","https://openalex.org/W2170401120","https://openalex.org/W3128626283"],"related_works":["https://openalex.org/W2121919740","https://openalex.org/W1971360108","https://openalex.org/W4360995745","https://openalex.org/W2211256721","https://openalex.org/W2355126672","https://openalex.org/W2387001023","https://openalex.org/W1505013685","https://openalex.org/W2542033803","https://openalex.org/W2069603876","https://openalex.org/W2135555027"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}