{"id":"https://openalex.org/W3032910980","doi":"https://doi.org/10.1109/cdc42340.2020.9304048","title":"Approximately Optimal Controllers for Quantitative Two-Phase Reach-Avoid Problems on Nonlinear Systems","display_name":"Approximately Optimal Controllers for Quantitative Two-Phase Reach-Avoid Problems on Nonlinear Systems","publication_year":2020,"publication_date":"2020-12-14","ids":{"openalex":"https://openalex.org/W3032910980","doi":"https://doi.org/10.1109/cdc42340.2020.9304048","mag":"3032910980"},"language":"en","primary_location":{"id":"doi:10.1109/cdc42340.2020.9304048","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304048","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2006.03862","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Alexander Weber","orcid":null},"institutions":[{"id":"https://openalex.org/I174004417","display_name":"Munich University of Applied Sciences","ror":"https://ror.org/012k1v959","country_code":"DE","type":"education","lineage":["https://openalex.org/I174004417"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Weber","raw_affiliation_strings":["Munich University of Applied Sciences, M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Munich University of Applied Sciences, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I174004417"]}]},{"author_position":"last","author":{"id":null,"display_name":"Alexander Knoll","orcid":null},"institutions":[{"id":"https://openalex.org/I174004417","display_name":"Munich University of Applied Sciences","ror":"https://ror.org/012k1v959","country_code":"DE","type":"education","lineage":["https://openalex.org/I174004417"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Knoll","raw_affiliation_strings":["Munich University of Applied Sciences, M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Munich University of Applied Sciences, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I174004417"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I174004417"],"apc_list":null,"apc_paid":null,"fwci":0.5829,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65857092,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"317","issue":null,"first_page":"430","last_page":"437"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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/T10876","display_name":"Fault Detection and Control Systems","score":0.9952999949455261,"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":0.9918000102043152,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6912999749183655},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6266999840736389},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6092000007629395},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.570900022983551},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5493999719619751},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5288000106811523},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.39980000257492065}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6912999749183655},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6266999840736389},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6092000007629395},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.570900022983551},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5625},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5493999719619751},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5288000106811523},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.490200012922287},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.39980000257492065},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.391400009393692},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.38440001010894775},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.3560999929904938},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.3262999951839447},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.29269999265670776},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.27880001068115234},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.25540000200271606}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc42340.2020.9304048","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304048","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2006.03862","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.03862","pdf_url":"https://arxiv.org/pdf/2006.03862","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2006.03862","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.03862","pdf_url":"https://arxiv.org/pdf/2006.03862","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311649","display_name":"Ministry of Education","ror":"https://ror.org/036nq5137"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1489726963","https://openalex.org/W1838714828","https://openalex.org/W2008064563","https://openalex.org/W2033077742","https://openalex.org/W2049680316","https://openalex.org/W2057096988","https://openalex.org/W2071797744","https://openalex.org/W2122311520","https://openalex.org/W2124623089","https://openalex.org/W2487779201","https://openalex.org/W2579357702","https://openalex.org/W2756915303","https://openalex.org/W2889209659","https://openalex.org/W2929059219","https://openalex.org/W2962889329","https://openalex.org/W2963437838","https://openalex.org/W2964046756","https://openalex.org/W2964326012","https://openalex.org/W2972859423","https://openalex.org/W3046880377","https://openalex.org/W4238538572","https://openalex.org/W4249513058","https://openalex.org/W6698044271"],"related_works":[],"abstract_inverted_index":{"The":[0],"present":[1,85],"work":[2],"deals":[3],"with":[4],"quantitative":[5,79],"two-phase":[6],"reach-avoid":[7,54,80],"problems":[8],"on":[9,90,111,115],"nonlinear":[10,107],"control":[11,17],"systems.":[12],"This":[13],"class":[14,101],"of":[15,123],"optimal":[16,62,70,103],"problem":[18,48,100],"requires":[19],"the":[20,42,47,50,98,121],"plant's":[21],"state":[22],"to":[23,94],"visit":[24],"two":[25,51,77],"(rather":[26],"than":[27],"one)":[28],"target":[29],"sets":[30],"in":[31,60],"succession":[32],"while":[33],"minimizing":[34],"a":[35,86],"prescribed":[36],"cost":[37],"functional.":[38],"As":[39],"we":[40,66,84],"illustrate,":[41],"naive":[43],"approach,":[44],"which":[45],"subdivides":[46],"into":[49],"evident":[52],"classical":[53],"tasks,":[55],"usually":[56],"does":[57],"not":[58],"result":[59],"an":[61,69,116],"solution.":[63],"In":[64,82],"contrast,":[65],"prove":[67],"that":[68],"controller":[71],"is":[72],"obtained":[73],"by":[74],"consecutively":[75],"solving":[76],"special":[78],"problems.":[81],"addition,":[83],"fully-automated":[87],"method":[88],"based":[89],"Symbolic":[91],"Optimal":[92],"Control":[93],"practically":[95],"synthesize":[96],"for":[97,105],"considered":[99],"approximately":[102],"controllers":[104],"sampled-data":[106],"plants.":[108],"Experimental":[109],"results":[110],"parcel":[112],"delivery":[113],"and":[114],"aircraft":[117],"routing":[118],"mission":[119],"confirm":[120],"practicality":[122],"our":[124],"method.":[125]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2020-06-12T00:00:00"}