{"id":"https://openalex.org/W4413392943","doi":"https://doi.org/10.23919/acc63710.2025.11107549","title":"A Global Coordinate-Free Approach to Invariant Contraction on Homogeneous Manifolds","display_name":"A Global Coordinate-Free Approach to Invariant Contraction on Homogeneous Manifolds","publication_year":2025,"publication_date":"2025-07-08","ids":{"openalex":"https://openalex.org/W4413392943","doi":"https://doi.org/10.23919/acc63710.2025.11107549"},"language":"en","primary_location":{"id":"doi:10.23919/acc63710.2025.11107549","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107549","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","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/A5009482488","display_name":"Akash Harapanahalli","orcid":"https://orcid.org/0000-0001-8968-4565"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Akash Harapanahalli","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5010552433","display_name":"Samuel Coogan","orcid":"https://orcid.org/0000-0003-0495-1535"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Samuel Coogan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009482488"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.37551629,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4004","last_page":"4010"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.7817999720573425,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.7817999720573425,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.7537999749183655,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.7414000034332275,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/homogeneous","display_name":"Homogeneous","score":0.6729711294174194},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6303396224975586},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.6010416150093079},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43971022963523865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37036973237991333},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3536830246448517},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11667907238006592},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.07770094275474548},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07247546315193176}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6729711294174194},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6303396224975586},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.6010416150093079},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43971022963523865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37036973237991333},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3536830246448517},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11667907238006592},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.07770094275474548},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07247546315193176},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc63710.2025.11107549","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107549","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 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":24,"referenced_works":["https://openalex.org/W26528315","https://openalex.org/W1517248966","https://openalex.org/W2036216368","https://openalex.org/W2056706729","https://openalex.org/W2094935658","https://openalex.org/W2105758800","https://openalex.org/W2113028215","https://openalex.org/W2134889984","https://openalex.org/W2151249889","https://openalex.org/W2320438804","https://openalex.org/W2567713377","https://openalex.org/W2902671468","https://openalex.org/W2962695522","https://openalex.org/W2964337106","https://openalex.org/W3049262741","https://openalex.org/W3153305782","https://openalex.org/W3185676742","https://openalex.org/W3209487986","https://openalex.org/W4392677623","https://openalex.org/W4393217513","https://openalex.org/W4396505797","https://openalex.org/W4401163682","https://openalex.org/W4407949448","https://openalex.org/W4407950340"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1,72,107],"work,":[2],"we":[3,55,75,122],"provide":[4,76],"a":[5,45,77,81,90,118],"global":[6,73],"condition":[7,79,108],"for":[8,80,95,130],"contraction":[9,57,119],"with":[10],"respect":[11],"to":[12,32,87,104,126],"an":[13,131],"invariant":[14,101],"Riemannian":[15],"metric":[16],"on":[17,26,61],"reductive":[18],"homogeneous":[19],"spaces.":[20],"Using":[21],"left-invariant":[22,53],"frames,":[23,54],"vector":[24],"fields":[25],"the":[27,33,38,66,85,96,100,105],"manifold":[28,86],"are":[29],"horizontally":[30],"lifted":[31],"ambient":[34],"Lie":[35],"group,":[36],"where":[37],"Levi-Civita":[39],"connection":[40],"is":[41],"globally":[42],"characterized":[43],"as":[44],"real":[46,62],"matrix":[47,59],"multiplication.":[48],"By":[49],"linearizing":[50],"in":[51,117],"these":[52],"characterize":[56],"using":[58],"measures":[60],"square":[63],"matrices,":[64],"avoiding":[65],"use":[67],"of":[68,84,99],"local":[69],"charts.":[70],"Applying":[71],"condition,":[74],"necessary":[78],"prescribed":[82],"subset":[83],"possibly":[88],"admit":[89],"contracting":[91],"system,":[92],"which":[93],"accounts":[94],"underlying":[97],"geometry":[98],"metric.":[102],"Applied":[103],"sphere,":[106],"implies":[109],"that":[110],"no":[111],"great":[112],"circle":[113],"can":[114],"be":[115],"contained":[116],"region.":[120],"Finally,":[121],"apply":[123],"our":[124],"results":[125],"compute":[127],"reachable":[128],"sets":[129],"attitude":[132],"control":[133],"problem.":[134]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
