{"id":"https://openalex.org/W2079857045","doi":"https://doi.org/10.2316/journal.201.2010.4.201-2150","title":"STABILIZATION OF DYNAMICAL SYSTEMS BY DIRECT MINIMIZATION OF KINETIC ENERGY","display_name":"STABILIZATION OF DYNAMICAL SYSTEMS BY DIRECT MINIMIZATION OF KINETIC ENERGY","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2079857045","doi":"https://doi.org/10.2316/journal.201.2010.4.201-2150","mag":"2079857045"},"language":"en","primary_location":{"id":"doi:10.2316/journal.201.2010.4.201-2150","is_oa":false,"landing_page_url":"https://doi.org/10.2316/journal.201.2010.4.201-2150","pdf_url":null,"source":{"id":"https://openalex.org/S111371982","display_name":"Control and Intelligent Systems","issn_l":"1480-1752","issn":["1480-1752","1925-5810"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Control and Intelligent Systems","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/A5049574938","display_name":"Majura F. Selekwa","orcid":"https://orcid.org/0000-0002-5951-9734"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Majura F. Selekwa","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049574938"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12285208,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9448000192642212,"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":0.9448000192642212,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9006999731063843,"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/kinetic-energy","display_name":"Kinetic energy","score":0.636674165725708},{"id":"https://openalex.org/keywords/energy-minimization","display_name":"Energy minimization","score":0.568013608455658},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5632613897323608},{"id":"https://openalex.org/keywords/cost-minimization-analysis","display_name":"Cost-minimization analysis","score":0.5435253977775574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4718480110168457},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40864452719688416},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2969321310520172},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27391546964645386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2302865982055664},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.21439281105995178},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.16183194518089294},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12626975774765015},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10199758410453796},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.0950847864151001},{"id":"https://openalex.org/keywords/computational-chemistry","display_name":"Computational chemistry","score":0.08806842565536499},{"id":"https://openalex.org/keywords/internal-medicine","display_name":"Internal medicine","score":0.06608915328979492}],"concepts":[{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.636674165725708},{"id":"https://openalex.org/C14961307","wikidata":"https://www.wikidata.org/wiki/Q5377176","display_name":"Energy minimization","level":2,"score":0.568013608455658},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5632613897323608},{"id":"https://openalex.org/C2781072439","wikidata":"https://www.wikidata.org/wiki/Q5174738","display_name":"Cost-minimization analysis","level":2,"score":0.5435253977775574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4718480110168457},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40864452719688416},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2969321310520172},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27391546964645386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2302865982055664},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.21439281105995178},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.16183194518089294},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12626975774765015},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10199758410453796},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0950847864151001},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.08806842565536499},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.06608915328979492}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2316/journal.201.2010.4.201-2150","is_oa":false,"landing_page_url":"https://doi.org/10.2316/journal.201.2010.4.201-2150","pdf_url":null,"source":{"id":"https://openalex.org/S111371982","display_name":"Control and Intelligent Systems","issn_l":"1480-1752","issn":["1480-1752","1925-5810"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Control and Intelligent Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8999999761581421,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1518796764","https://openalex.org/W2284297827","https://openalex.org/W347294048","https://openalex.org/W2118841422","https://openalex.org/W2226908759","https://openalex.org/W1981231660","https://openalex.org/W2110536527","https://openalex.org/W2351116219","https://openalex.org/W1483822002","https://openalex.org/W2062298562"],"abstract_inverted_index":{"It":[0],"was":[1,83],"established":[2],"long":[3],"ago":[4],"that":[5,77,86,143,223],"the":[6,31,43,62,65,84,90,93,141,144,153,157,165,173,194,201,211],"stability":[7,74,202],"of":[8,33,64,76,92,196,203,216,236,247],"continuous":[9,204],"time":[10,205],"dynamical":[11,206],"systems":[12,39,50,151,170,230],"can":[13,137,231],"be":[14,25,138,232],"studied":[15],"by":[16,243],"using":[17,248],"positive":[18],"non-increasing":[19],"energy":[20,68,82,95,115,127,146,159,184,198,250],"functions,":[21,96],"which":[22,97],"came":[23],"to":[24,89,140,180],"known":[26,256],"as":[27,69,107,156],"Lyapunov":[28,71],"functions.":[29,112],"While":[30],"process":[32],"establishing":[34],"these":[35],"functions":[36,109,116],"for":[37,48,73,133,149,160,168,187,214,228],"linear":[38,101,122,150,162,229],"has":[40,45,129],"been":[41,46,118,131],"easy,":[42],"case":[44],"different":[47],"nonlinear":[49,134,169,189,257],"where":[51],"trial":[52],"and":[53,208,253],"error":[54],"methods":[55],"are":[56],"still":[57],"used.":[58],"This":[59,136],"paper":[60,192,220,241],"revives":[61],"application":[63],"system":[66,174],"kinetic":[67,81,158,197,249],"a":[70],"function":[72,128,147,185],"analysis":[75],"particular":[78],"system.":[79],"The":[80,191,219,240],"foundation":[85],"gave":[87],"rise":[88],"notion":[91],"generalized":[94,114,126,145,183],"became":[98],"prominent":[99],"in":[100,199,234,251],"optimal":[102],"control":[103],"with":[104,121],"names":[105],"such":[106,217],"cost":[108],"or":[110],"objective":[111],"Although":[113],"have":[117,152],"very":[119],"successful":[120],"systems,":[123,163,207],"no":[124],"equivalent":[125],"ever":[130],"developed":[132],"systems.":[135,190,218,258],"attributed":[139],"fact":[142],"expressions":[148],"same":[154],"structure":[155,186],"all":[161,188],"while":[164],"corresponding":[166],"expression":[167],"depend":[171],"on":[172],"itself;":[175],"therefore,":[176],"it":[177,209],"is":[178],"difficult":[179],"develop":[181],"one":[182],"recalls":[193],"use":[195],"studying":[200],"develops":[210],"optimality":[212,238],"equation":[213],"stabilization":[215],"shows":[221],"further":[222],"most":[224],"existing":[225],"stabilizing":[226,254],"controllers":[227],"defined":[233],"terms":[235],"this":[237],"equation.":[239],"closes":[242],"providing":[244],"some":[245,255],"examples":[246],"analyzing":[252]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}