{"id":"https://openalex.org/W2134359985","doi":"https://doi.org/10.1109/acc.2007.4282202","title":"Backstepping Guidance for Missiles Modeled as Uncertain Time-Varying First-Order Systems","display_name":"Backstepping Guidance for Missiles Modeled as Uncertain Time-Varying First-Order Systems","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2134359985","doi":"https://doi.org/10.1109/acc.2007.4282202","mag":"2134359985"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2007.4282202","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282202","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","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/A5030071272","display_name":"N. L\u00e9chevin","orcid":null},"institutions":[{"id":"https://openalex.org/I1297460800","display_name":"Defence Research and Development Canada","ror":"https://ror.org/00hgy8d33","country_code":"CA","type":"government","lineage":["https://openalex.org/I1297460800","https://openalex.org/I1336338359","https://openalex.org/I2802286613"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"N. Lechevin","raw_affiliation_strings":["Defence Research and Development Canada, QUE, Canada","Defence R&D Canada - Valcartier, Valcartier"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Defence Research and Development Canada, QUE, Canada","institution_ids":["https://openalex.org/I1297460800"]},{"raw_affiliation_string":"Defence R&D Canada - Valcartier, Valcartier","institution_ids":["https://openalex.org/I1297460800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111896739","display_name":"C.A. Rabbath","orcid":null},"institutions":[{"id":"https://openalex.org/I1297460800","display_name":"Defence Research and Development Canada","ror":"https://ror.org/00hgy8d33","country_code":"CA","type":"government","lineage":["https://openalex.org/I1297460800","https://openalex.org/I1336338359","https://openalex.org/I2802286613"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"C.A. Rabbath","raw_affiliation_strings":["Defence Research and Development Canada, QUE, Canada","Defence R&D Canada - Valcartier, Valcartier"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Defence Research and Development Canada, QUE, Canada","institution_ids":["https://openalex.org/I1297460800"]},{"raw_affiliation_string":"Defence R&D Canada - Valcartier, Valcartier","institution_ids":["https://openalex.org/I1297460800"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.2303,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93867579,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"4582","last_page":"4587"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":1.0,"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"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9922999739646912,"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/T10346","display_name":"Magnetic confinement fusion research","score":0.9857000112533569,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.8620438575744629},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.790244460105896},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7332071661949158},{"id":"https://openalex.org/keywords/missile","display_name":"Missile","score":0.6330631971359253},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5921141505241394},{"id":"https://openalex.org/keywords/pursuer","display_name":"Pursuer","score":0.588634192943573},{"id":"https://openalex.org/keywords/missile-guidance","display_name":"Missile guidance","score":0.5674493312835693},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5347119569778442},{"id":"https://openalex.org/keywords/proportional-navigation","display_name":"Proportional navigation","score":0.5296544432640076},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5279242992401123},{"id":"https://openalex.org/keywords/aerodynamics","display_name":"Aerodynamics","score":0.5236468315124512},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5041841268539429},{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.5025303363800049},{"id":"https://openalex.org/keywords/ballistic-missile","display_name":"Ballistic missile","score":0.45373597741127014},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.431357741355896},{"id":"https://openalex.org/keywords/guidance-system","display_name":"Guidance system","score":0.4277379810810089},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.371307373046875},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.27264517545700073},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22531190514564514},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21999838948249817},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.21663996577262878},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14306128025054932},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.08525046706199646}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.8620438575744629},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.790244460105896},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7332071661949158},{"id":"https://openalex.org/C2778857364","wikidata":"https://www.wikidata.org/wiki/Q974850","display_name":"Missile","level":2,"score":0.6330631971359253},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5921141505241394},{"id":"https://openalex.org/C2776927521","wikidata":"https://www.wikidata.org/wiki/Q468489","display_name":"Pursuer","level":2,"score":0.588634192943573},{"id":"https://openalex.org/C522053795","wikidata":"https://www.wikidata.org/wiki/Q2335090","display_name":"Missile guidance","level":3,"score":0.5674493312835693},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5347119569778442},{"id":"https://openalex.org/C2778464233","wikidata":"https://www.wikidata.org/wiki/Q1649097","display_name":"Proportional navigation","level":3,"score":0.5296544432640076},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5279242992401123},{"id":"https://openalex.org/C13393347","wikidata":"https://www.wikidata.org/wiki/Q8424","display_name":"Aerodynamics","level":2,"score":0.5236468315124512},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5041841268539429},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.5025303363800049},{"id":"https://openalex.org/C122136912","wikidata":"https://www.wikidata.org/wiki/Q179348","display_name":"Ballistic missile","level":3,"score":0.45373597741127014},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.431357741355896},{"id":"https://openalex.org/C201004817","wikidata":"https://www.wikidata.org/wiki/Q1707071","display_name":"Guidance system","level":2,"score":0.4277379810810089},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.371307373046875},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.27264517545700073},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22531190514564514},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21999838948249817},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.21663996577262878},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14306128025054932},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.08525046706199646},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2007.4282202","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282202","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","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":22,"referenced_works":["https://openalex.org/W576645125","https://openalex.org/W1521072306","https://openalex.org/W1548148540","https://openalex.org/W1559720315","https://openalex.org/W2019007960","https://openalex.org/W2020299768","https://openalex.org/W2022306301","https://openalex.org/W2040457565","https://openalex.org/W2056872251","https://openalex.org/W2092426802","https://openalex.org/W2101542584","https://openalex.org/W2101889108","https://openalex.org/W2111359217","https://openalex.org/W2141436699","https://openalex.org/W2164029908","https://openalex.org/W2167295261","https://openalex.org/W2170984856","https://openalex.org/W2171222770","https://openalex.org/W2171289137","https://openalex.org/W3176547651","https://openalex.org/W6631071815","https://openalex.org/W6633581239"],"related_works":["https://openalex.org/W3144993693","https://openalex.org/W4287905462","https://openalex.org/W2999008155","https://openalex.org/W1949991526","https://openalex.org/W4281698259","https://openalex.org/W2073887133","https://openalex.org/W2242407616","https://openalex.org/W2145615521","https://openalex.org/W1491559651","https://openalex.org/W2120945669"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,82,115,137],"Lyapunov-based":[4],"guidance":[5,44,67,96,112],"law,":[6],"which":[7,46,148],"takes":[8,54],"into":[9,55],"account":[10,56],"the":[11,16,19,26,31,35,57,65,104,107,111,121,129,134,142,146],"nonlinear":[12],"relative":[13],"kinematics":[14],"between":[15],"missile":[17,78],"and":[18,21,50,81,94],"target,":[20],"ensures":[22],"ultimate":[23],"boundedness":[24],"of":[25,34,64,106,136,145,151],"missile-target":[27],"system":[28],"trajectories":[29],"provided":[30],"estimation":[32],"error":[33],"target":[36,84,108],"acceleration":[37,109,139],"is":[38,100,149],"bounded":[39],"in":[40,68,110,141],"magnitude.":[41],"The":[42],"proposed":[43,66],"synthesis,":[45],"combines":[47],"high-gain":[48,152],"backstepping":[49],"variable":[51],"structure":[52],"approach,":[53],"uncertain":[58],"flight":[59],"control":[60],"dynamics.":[61],"Numerical":[62],"simulations":[63],"closed-loop":[69],"with":[70],"an":[71],"interval":[72],"2":[73],"<sup":[74],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[75],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">nd</sup>":[76],"-order":[77],"transfer":[79],"function":[80],"maneuvering":[83],"demonstrate":[85],"satisfactory":[86,130],"performances":[87],"when":[88,120],"compared":[89],"to":[90],"several":[91],"other":[92],"modern":[93],"classical":[95],"laws.":[97],"Furthermore,":[98],"it":[99],"shown":[101],"that":[102],"using":[103],"estimate":[105],"allows":[113],"achieving":[114],"relatively":[116],"small":[117],"miss":[118],"distance":[119],"pursuer-evader":[122],"maximum":[123],"maneuverability":[124],"ratio":[125],"approaches":[126],"unity.":[127],"However,":[128],"performance":[131],"comes":[132],"at":[133],"expense":[135],"stringent":[138],"demand":[140],"early":[143],"part":[144],"engagement,":[147],"typical":[150],"control.":[153]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}