{"id":"https://openalex.org/W2001680947","doi":"https://doi.org/10.1109/acc.2013.6580581","title":"Spacecraft constrained maneuver planning for moving debris avoidance using positively invariant constraint admissible sets","display_name":"Spacecraft constrained maneuver planning for moving debris avoidance using positively invariant constraint admissible sets","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2001680947","doi":"https://doi.org/10.1109/acc.2013.6580581","mag":"2001680947"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2013.6580581","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 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/A5086788149","display_name":"Avishai Weiss","orcid":"https://orcid.org/0000-0002-4261-3038"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Avishai Weiss","raw_affiliation_strings":["Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","[Dept. of Aerosp. Eng., Univ. of Michigan, Ann Arbor, MI, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"[Dept. of Aerosp. Eng., Univ. of Michigan, Ann Arbor, MI, USA]","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085203814","display_name":"Morgan Baldwin","orcid":null},"institutions":[{"id":"https://openalex.org/I1280414376","display_name":"United States Air Force Research Laboratory","ror":"https://ror.org/02e2egq70","country_code":"US","type":"facility","lineage":["https://openalex.org/I1280414376","https://openalex.org/I1330347796","https://openalex.org/I4210102105","https://openalex.org/I4389425425"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Morgan Baldwin","raw_affiliation_strings":["Research Aerospace Engineer, Space Vehicles Directorate, Air Force Research Laboratory, NM, USA","Space Vehicles Directorate Air Force Research Lab Kirtland AFB NM USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Aerospace Engineer, Space Vehicles Directorate, Air Force Research Laboratory, NM, USA","institution_ids":["https://openalex.org/I1280414376"]},{"raw_affiliation_string":"Space Vehicles Directorate Air Force Research Lab Kirtland AFB NM USA","institution_ids":["https://openalex.org/I1280414376"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027792101","display_name":"Christopher Petersen","orcid":"https://orcid.org/0009-0004-2018-3235"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christopher Petersen","raw_affiliation_strings":["Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","[Dept. of Aerosp. Eng., Univ. of Michigan, Ann Arbor, MI, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"[Dept. of Aerosp. Eng., Univ. of Michigan, Ann Arbor, MI, USA]","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017334668","display_name":"R. Scott Erwin","orcid":"https://orcid.org/0000-0002-2838-8823"},"institutions":[{"id":"https://openalex.org/I1280414376","display_name":"United States Air Force Research Laboratory","ror":"https://ror.org/02e2egq70","country_code":"US","type":"facility","lineage":["https://openalex.org/I1280414376","https://openalex.org/I1330347796","https://openalex.org/I4210102105","https://openalex.org/I4389425425"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Scott Erwin","raw_affiliation_strings":["Principal Research Aerospace Engineer, Space Vehicles Directorate, Air Force Research Laboratory, NM, USA","Space Vehicles Directorate Air Force Research Lab Kirtland AFB NM USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Principal Research Aerospace Engineer, Space Vehicles Directorate, Air Force Research Laboratory, NM, USA","institution_ids":["https://openalex.org/I1280414376"]},{"raw_affiliation_string":"Space Vehicles Directorate Air Force Research Lab Kirtland AFB NM USA","institution_ids":["https://openalex.org/I1280414376"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078022728","display_name":"Ilya Kolmanovsky","orcid":"https://orcid.org/0000-0002-7225-4160"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ilya Kolmanovsky","raw_affiliation_strings":["Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","[Dept. of Aerosp. Eng., Univ. of Michigan, Ann Arbor, MI, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"[Dept. of Aerosp. Eng., Univ. of Michigan, Ann Arbor, MI, USA]","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":20.9915,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.98724784,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"4802","last_page":"4807"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9965000152587891,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9965000152587891,"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/T10325","display_name":"Astro and Planetary Science","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11701","display_name":"Space Satellite Systems and Control","score":0.9854999780654907,"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/spacecraft","display_name":"Spacecraft","score":0.8158963918685913},{"id":"https://openalex.org/keywords/debris","display_name":"Debris","score":0.686347246170044},{"id":"https://openalex.org/keywords/space-debris","display_name":"Space debris","score":0.6677501201629639},{"id":"https://openalex.org/keywords/collision-avoidance","display_name":"Collision avoidance","score":0.5725979208946228},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5543055534362793},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5058410167694092},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4945666491985321},{"id":"https://openalex.org/keywords/motion-planning","display_name":"Motion planning","score":0.4806491434574127},{"id":"https://openalex.org/keywords/collision","display_name":"Collision","score":0.46561264991760254},{"id":"https://openalex.org/keywords/simulation","display_name":"Simulation","score":0.4342975318431854},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4331514239311218},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.428536057472229},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3665332794189453},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.3350386619567871},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29833680391311646},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22991392016410828},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.21337991952896118},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20983028411865234},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1629261076450348},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.15961024165153503},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.14750024676322937},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13320663571357727}],"concepts":[{"id":"https://openalex.org/C29829512","wikidata":"https://www.wikidata.org/wiki/Q40218","display_name":"Spacecraft","level":2,"score":0.8158963918685913},{"id":"https://openalex.org/C2776023875","wikidata":"https://www.wikidata.org/wiki/Q637703","display_name":"Debris","level":2,"score":0.686347246170044},{"id":"https://openalex.org/C18949120","wikidata":"https://www.wikidata.org/wiki/Q275450","display_name":"Space debris","level":3,"score":0.6677501201629639},{"id":"https://openalex.org/C2780864053","wikidata":"https://www.wikidata.org/wiki/Q5147495","display_name":"Collision avoidance","level":3,"score":0.5725979208946228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5543055534362793},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5058410167694092},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4945666491985321},{"id":"https://openalex.org/C81074085","wikidata":"https://www.wikidata.org/wiki/Q366872","display_name":"Motion planning","level":3,"score":0.4806491434574127},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.46561264991760254},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.4342975318431854},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4331514239311218},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.428536057472229},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3665332794189453},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.3350386619567871},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29833680391311646},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22991392016410828},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.21337991952896118},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20983028411865234},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1629261076450348},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.15961024165153503},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.14750024676322937},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13320663571357727},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2013.6580581","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.722.6398","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.722.6398","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-personal.umich.edu/%7Eavishai/papers/2013ACC_0886_MS.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W182463085","https://openalex.org/W1561359228","https://openalex.org/W1972802820","https://openalex.org/W1984647968","https://openalex.org/W2006455928","https://openalex.org/W2009641409","https://openalex.org/W2033936627","https://openalex.org/W2053345968","https://openalex.org/W2090521625","https://openalex.org/W2095233962","https://openalex.org/W2143778269","https://openalex.org/W2234844905","https://openalex.org/W2321962526","https://openalex.org/W2329731449","https://openalex.org/W2738936834","https://openalex.org/W3138055957","https://openalex.org/W4248774447","https://openalex.org/W4285719527","https://openalex.org/W6633558340","https://openalex.org/W6742051972"],"related_works":["https://openalex.org/W2024597437","https://openalex.org/W1984685701","https://openalex.org/W2587296717","https://openalex.org/W171204578","https://openalex.org/W2998405407","https://openalex.org/W4324057439","https://openalex.org/W1621964228","https://openalex.org/W3171469758","https://openalex.org/W885382963","https://openalex.org/W2125247431"],"abstract_inverted_index":{"This":[0],"paper":[1],"extends":[2],"our":[3],"prior":[4],"work":[5],"on":[6,11,59],"spacecraft":[7],"debris":[8],"avoidance":[9],"based":[10,58],"positively":[12],"invariant":[13],"sets":[14,61],"to":[15,64,85],"the":[16,49,87,91,95],"case":[17],"of":[18,33,48],"moving":[19],"debris.":[20],"In":[21],"this":[22,109],"approach,":[23],"a":[24,31,37,44,75],"time-varying":[25],"connectivity":[26,52],"graph":[27,80],"is":[28,41,56,83],"constructed":[29],"between":[30,53,69],"set":[32],"forced":[34],"equilibria,":[35],"forming":[36],"virtual":[38],"net":[39],"that":[40,66,107],"centered":[42],"around":[43,90],"nominal":[45],"orbital":[46],"position":[47],"spacecraft.":[50],"The":[51],"two":[54],"equilibria":[55,70],"determined":[57],"contractive":[60],"in":[62],"order":[63],"guarantee":[65],"collision-free":[67],"transitions":[68],"can":[71],"be":[72],"effected":[73],"within":[74],"giving":[76],"time":[77],"period.":[78],"A":[79],"search":[81],"algorithm":[82],"implemented":[84],"find":[86],"shortest":[88],"path":[89,97],"debris,":[92],"or":[93],"through":[94],"debris'":[96],"once":[98],"it":[99],"has":[100],"moved":[101],"on.":[102],"Simulation":[103],"results":[104],"are":[105],"presented":[106],"illustrate":[108],"approach.":[110]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}