{"id":"https://openalex.org/W2735709633","doi":"https://doi.org/10.23919/acc.2017.7963596","title":"An algorithm for enlarging the region of attraction using trajectory reversing","display_name":"An algorithm for enlarging the region of attraction using trajectory reversing","publication_year":2017,"publication_date":"2017-05-01","ids":{"openalex":"https://openalex.org/W2735709633","doi":"https://doi.org/10.23919/acc.2017.7963596","mag":"2735709633"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2017.7963596","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2017.7963596","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 American Control Conference (ACC)","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/A5056214123","display_name":"Nilay Kant","orcid":"https://orcid.org/0000-0002-3630-6787"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nilay Kant","raw_affiliation_strings":["Department of Mechanical Engineering, Michigan state University, East Lansing, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Michigan state University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085115754","display_name":"Dhrubajit Chowdhury","orcid":"https://orcid.org/0000-0002-9113-0323"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dhrubajit Chowdhury","raw_affiliation_strings":["Department of Electrical Engineering, Michigan state University, East Lansing, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Michigan state University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078043600","display_name":"Ranjan Mukherjee","orcid":"https://orcid.org/0000-0002-7211-1362"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ranjan Mukherjee","raw_affiliation_strings":["Department of Mechanical Engineering, Michigan state University, East Lansing, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Michigan state University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052018166","display_name":"Hassan K. Khalil","orcid":"https://orcid.org/0000-0002-9968-2181"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hassan K. Khalil","raw_affiliation_strings":["Department of Electrical Engineering, Michigan state University, East Lansing, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Michigan state University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I87216513"],"apc_list":null,"apc_paid":null,"fwci":2.2073,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.86255279,"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":"4171","last_page":"4176"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9922999739646912,"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":0.9922999739646912,"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":0.9825999736785889,"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/T12158","display_name":"Guidance and Control Systems","score":0.9700000286102295,"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/reversing","display_name":"Reversing","score":0.951529860496521},{"id":"https://openalex.org/keywords/attraction","display_name":"Attraction","score":0.8037719130516052},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.6374401450157166},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5588887333869934},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5523175597190857},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.5333466529846191},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4946858584880829},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4725075662136078},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.45991742610931396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41113442182540894},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.379762202501297},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08887916803359985},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0779426097869873},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06836485862731934}],"concepts":[{"id":"https://openalex.org/C2781085045","wikidata":"https://www.wikidata.org/wiki/Q7318308","display_name":"Reversing","level":2,"score":0.951529860496521},{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.8037719130516052},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6374401450157166},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5588887333869934},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5523175597190857},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.5333466529846191},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4946858584880829},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4725075662136078},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.45991742610931396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41113442182540894},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.379762202501297},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08887916803359985},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0779426097869873},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06836485862731934},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C171146098","wikidata":"https://www.wikidata.org/wiki/Q124192","display_name":"Automotive engineering","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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:10.23919/acc.2017.7963596","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2017.7963596","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 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":18,"referenced_works":["https://openalex.org/W147207315","https://openalex.org/W1530960252","https://openalex.org/W1673310716","https://openalex.org/W1813445204","https://openalex.org/W1976011084","https://openalex.org/W2012597247","https://openalex.org/W2014586885","https://openalex.org/W2043205200","https://openalex.org/W2044818583","https://openalex.org/W2075890657","https://openalex.org/W2078899217","https://openalex.org/W2125843442","https://openalex.org/W2137470393","https://openalex.org/W2146344542","https://openalex.org/W2147439098","https://openalex.org/W2153504150","https://openalex.org/W2197410959","https://openalex.org/W6637131181"],"related_works":["https://openalex.org/W3017054987","https://openalex.org/W1133795484","https://openalex.org/W4294000617","https://openalex.org/W2351753518","https://openalex.org/W2036769297","https://openalex.org/W2749399232","https://openalex.org/W1549289070","https://openalex.org/W2735709633","https://openalex.org/W2735679329","https://openalex.org/W2085574971"],"abstract_inverted_index":{"Trajectory":[0],"reversing":[1],"is":[2,87,122],"a":[3,17],"method":[4,57],"commonly":[5],"used":[6],"for":[7,31,98],"estimating":[8],"the":[9,37,51,54,83,91,118,126,136,139],"region":[10,38,84,110,114],"of":[11,13,20,36,39,53,82,85,100,102,111,115,117,128,138],"attraction":[12,40,86,116],"stabilized":[14],"equilibria.":[15],"Using":[16],"discrete":[18],"set":[19],"points":[21],"obtained":[22,64],"by":[23,65],"trajectory":[24],"reversing,":[25],"this":[26],"paper":[27],"presents":[28],"an":[29],"algorithm":[30,130],"estimation":[32],"and":[33,134],"mathematical":[34,80],"representation":[35,81],"using":[41],"convex":[42],"hulls.":[43],"Several":[44],"two-dimensional":[45],"examples":[46],"are":[47],"presented":[48],"to":[49,62,76,124,131],"illustrate":[50,135],"usefulness":[52,137],"algorithm.":[55],"The":[56,79,113],"provides":[58],"larger":[59],"estimates":[60],"compared":[61],"that":[63],"existing":[66],"algorithms":[67],"but":[68],"its":[69,74],"main":[70],"advantage":[71],"lies":[72],"in":[73,89],"applicability":[75,127],"higher-order":[77,132],"systems.":[78],"useful":[88],"applying":[90],"Impulse":[92,140],"Manifold":[93,141],"Method,":[94],"which":[95],"was":[96],"developed":[97],"stabilization":[99],"equilibria":[101],"underacuated":[103],"systems":[104,133],"from":[105],"configurations":[106],"lying":[107],"outside":[108],"their":[109],"attraction.":[112],"pendubot":[119],"upright":[120],"equilibrium":[121],"estimated":[123],"demonstrate":[125],"our":[129],"Method":[142],"through":[143],"simulations.":[144]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}