{"id":"https://openalex.org/W4391411290","doi":"https://doi.org/10.34768/amcs-2022-0002","title":"Fast and smooth trajectory planning for a class of linear systems based on parameter and constraint reduction","display_name":"Fast and smooth trajectory planning for a class of linear systems based on parameter and constraint reduction","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4391411290","doi":"https://doi.org/10.34768/amcs-2022-0002"},"language":"en","primary_location":{"id":"doi:10.34768/amcs-2022-0002","is_oa":true,"landing_page_url":"http://dx.doi.org/10.34768/amcs-2022-0002","pdf_url":"https://reference-global.com/2/v2/download/article/10.34768/amcs-2022-0002.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://reference-global.com/2/v2/download/article/10.34768/amcs-2022-0002.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100412617","display_name":"Guangyu Liu","orcid":"https://orcid.org/0000-0001-7393-5497"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangyu Liu","raw_affiliation_strings":["School of Automation Engineering, Hangzhou Dianzi University Xiasha Higher Education Zone"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation Engineering, Hangzhou Dianzi University Xiasha Higher Education Zone","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093834921","display_name":"Shangliang Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shangliang Wu","raw_affiliation_strings":["School of Automation Engineering, Hangzhou Dianzi University Xiasha Higher Education Zone"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation Engineering, Hangzhou Dianzi University Xiasha Higher Education Zone","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057762953","display_name":"Ling Zhu","orcid":"https://orcid.org/0000-0002-1815-5831"},"institutions":[{"id":"https://openalex.org/I90727586","display_name":"Zhejiang University of Finance and Economics","ror":"https://ror.org/055vj5234","country_code":"CN","type":"education","lineage":["https://openalex.org/I90727586"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ling Zhu","raw_affiliation_strings":["School of Information Management and Artificial Intelligence, Zhejiang University of Finance and Economics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Management and Artificial Intelligence, Zhejiang University of Finance and Economics","institution_ids":["https://openalex.org/I90727586"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100341600","display_name":"Jiajun Wang","orcid":"https://orcid.org/0000-0003-0715-1269"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiajun Wang","raw_affiliation_strings":["School of Automation Engineering, Hangzhou Dianzi University Xiasha Higher Education Zone"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation Engineering, Hangzhou Dianzi University Xiasha Higher Education Zone","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109298843","display_name":"Qiang Lv","orcid":null},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Lv","raw_affiliation_strings":["School of Automation Engineering, Hangzhou Dianzi University Xiasha Higher Education Zone"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation Engineering, Hangzhou Dianzi University Xiasha Higher Education Zone","institution_ids":["https://openalex.org/I50760025"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057762953"],"corresponding_institution_ids":["https://openalex.org/I90727586"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":0.162,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.43146512,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"32","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10906","display_name":"AI-based Problem Solving and Planning","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9825000166893005,"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/reduction","display_name":"Reduction (mathematics)","score":0.7726773023605347},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.681477963924408},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.662420392036438},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.6531454920768738},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48304206132888794},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44842463731765747},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40451985597610474},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36913251876831055},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24860885739326477},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14157667756080627},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08285701274871826},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0682482123374939}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.7726773023605347},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.681477963924408},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.662420392036438},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6531454920768738},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48304206132888794},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44842463731765747},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40451985597610474},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36913251876831055},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24860885739326477},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14157667756080627},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08285701274871826},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0682482123374939},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.34768/amcs-2022-0002","is_oa":true,"landing_page_url":"http://dx.doi.org/10.34768/amcs-2022-0002","pdf_url":"https://reference-global.com/2/v2/download/article/10.34768/amcs-2022-0002.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c5169ab1b36e426f8df06f85e8555e51","is_oa":true,"landing_page_url":"https://doaj.org/article/c5169ab1b36e426f8df06f85e8555e51","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, Vol 32, Iss 1, Pp 11-21 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.34768/amcs-2022-0002","is_oa":true,"landing_page_url":"http://dx.doi.org/10.34768/amcs-2022-0002","pdf_url":"https://reference-global.com/2/v2/download/article/10.34768/amcs-2022-0002.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5299999713897705,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G2344559318","display_name":null,"funder_award_id":"61174074","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4485508405","display_name":null,"funder_award_id":"62002315","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8568475463","display_name":null,"funder_award_id":"62073108","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391411290.pdf","grobid_xml":"https://content.openalex.org/works/W4391411290.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1543051955","https://openalex.org/W2023977572","https://openalex.org/W2036242265","https://openalex.org/W2065451462","https://openalex.org/W2109772914","https://openalex.org/W2117571644","https://openalex.org/W2491447317","https://openalex.org/W2532109687","https://openalex.org/W2654286404","https://openalex.org/W2724940914","https://openalex.org/W2805078921","https://openalex.org/W2888275475","https://openalex.org/W2895956447","https://openalex.org/W2950348221","https://openalex.org/W2965046707","https://openalex.org/W2968456578","https://openalex.org/W2979729108","https://openalex.org/W2980592232","https://openalex.org/W2990047722","https://openalex.org/W2997722801","https://openalex.org/W3000626952","https://openalex.org/W3002142404","https://openalex.org/W3004111187","https://openalex.org/W3013993013","https://openalex.org/W3026436787","https://openalex.org/W3035291983","https://openalex.org/W3112779058","https://openalex.org/W3115747676","https://openalex.org/W3131575643","https://openalex.org/W3178697149","https://openalex.org/W4253938361"],"related_works":["https://openalex.org/W1941703695","https://openalex.org/W4248382324","https://openalex.org/W3131574667","https://openalex.org/W4323768008","https://openalex.org/W4360995134","https://openalex.org/W2039473718","https://openalex.org/W2387529410","https://openalex.org/W3023605104","https://openalex.org/W2383578611","https://openalex.org/W2349580982"],"abstract_inverted_index":{"<abstract":[0],"xmlns=\"http://www.w3.org/1999/xhtml\">":[1],"Fast":[2],"and":[3,17,29,37,40,61],"smooth":[4,41],"trajectory":[5,23,44,85,115],"planning":[6,24,45],"is":[7,50,106],"crucial":[8],"for":[9],"modern":[10],"control":[11],"systems,":[12],"e.g.,":[13],"missiles,":[14],"aircraft,":[15],"robots":[16],"AGVs.":[18],"However,":[19],"classical":[20],"spline":[21],"based":[22],"tools":[25],"introduce":[26],"redundant":[27],"constraints":[28,60],"parameters,":[30],"leading":[31],"to":[32,57,110],"high":[33],"costs":[34],"of":[35,43,65,114],"computation":[36],"complicating":[38],"fast":[39],"execution":[42],"tasks.":[46],"A":[47],"new":[48],"tool":[49],"proposed":[51,98],"that":[52,96],"employs":[53],"truncated":[54],"power":[55],"functions":[56],"annihilate":[58],"some":[59],"reduce":[62],"the":[63,68,84,97,111],"number":[64],"parameters":[66],"in":[67,78,108],"optimal":[69,76],"model.":[70],"It":[71,105],"enables":[72],"solving":[73],"a":[74,79],"simplified":[75],"problem":[77],"shorter":[80],"time":[81],"while":[82],"keeping":[83],"sufficiently":[86],"smooth.":[87],"With":[88],"an":[89],"engineering":[90],"background,":[91],"our":[92],"case":[93],"studies":[94],"show":[95],"method":[99],"has":[100],"advantages":[101],"over":[102],"other":[103],"solutions.":[104],"promising":[107],"regard":[109],"demanding":[112],"tasks":[113],"planning.":[116],"</abstract>":[117]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}