{"id":"https://openalex.org/W2971915564","doi":"https://doi.org/10.3934/mfc.2019016","title":"Eigenstructure assignment for polynomial matrix systems ensuring normalization and impulse elimination","display_name":"Eigenstructure assignment for polynomial matrix systems ensuring normalization and impulse elimination","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2971915564","doi":"https://doi.org/10.3934/mfc.2019016","mag":"2971915564"},"language":"en","primary_location":{"id":"doi:10.3934/mfc.2019016","is_oa":true,"landing_page_url":"https://doi.org/10.3934/mfc.2019016","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=a1d46655-f081-4a68-8b5d-dceecbe38444","source":{"id":"https://openalex.org/S4210238810","display_name":"Mathematical Foundations of Computing","issn_l":"2577-8838","issn":["2577-8838"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Foundations of Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/article/exportPdf?id=a1d46655-f081-4a68-8b5d-dceecbe38444","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014847640","display_name":"Peizhao Yu","orcid":"https://orcid.org/0000-0003-1974-6729"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peizhao Yu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5021811730","display_name":"Guoshan Zhang","orcid":"https://orcid.org/0000-0003-0994-5468"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guoshan Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14354124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"2","issue":"3","first_page":"251","last_page":"266"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9987999796867371,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9966999888420105,"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/normalization","display_name":"Normalization (sociology)","score":0.7820034623146057},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.6301445364952087},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5994123220443726},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5619694590568542},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5609977841377258},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.479512482881546},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.47673070430755615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4766674339771271},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.47605249285697937},{"id":"https://openalex.org/keywords/characteristic-polynomial","display_name":"Characteristic polynomial","score":0.46245598793029785},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.38713741302490234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3735307455062866},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36401087045669556},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33097463846206665},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3012669086456299},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.154680997133255},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10236629843711853},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08706033229827881},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07319515943527222},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07150083780288696}],"concepts":[{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.7820034623146057},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.6301445364952087},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5994123220443726},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5619694590568542},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5609977841377258},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.479512482881546},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.47673070430755615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4766674339771271},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.47605249285697937},{"id":"https://openalex.org/C42321380","wikidata":"https://www.wikidata.org/wiki/Q849705","display_name":"Characteristic polynomial","level":3,"score":0.46245598793029785},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.38713741302490234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3735307455062866},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36401087045669556},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33097463846206665},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3012669086456299},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.154680997133255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10236629843711853},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08706033229827881},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07319515943527222},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07150083780288696},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/mfc.2019016","is_oa":true,"landing_page_url":"https://doi.org/10.3934/mfc.2019016","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=a1d46655-f081-4a68-8b5d-dceecbe38444","source":{"id":"https://openalex.org/S4210238810","display_name":"Mathematical Foundations of Computing","issn_l":"2577-8838","issn":["2577-8838"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Foundations of Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/mfc.2019016","is_oa":true,"landing_page_url":"https://doi.org/10.3934/mfc.2019016","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=a1d46655-f081-4a68-8b5d-dceecbe38444","source":{"id":"https://openalex.org/S4210238810","display_name":"Mathematical Foundations of Computing","issn_l":"2577-8838","issn":["2577-8838"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Foundations of Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W578411849","https://openalex.org/W1594851591","https://openalex.org/W1971320201","https://openalex.org/W2013089579","https://openalex.org/W2067938697","https://openalex.org/W2078741812","https://openalex.org/W2083892818","https://openalex.org/W2110251079","https://openalex.org/W2114184699","https://openalex.org/W2141137426","https://openalex.org/W2154150076","https://openalex.org/W2345326537","https://openalex.org/W2560780506","https://openalex.org/W2908712841"],"related_works":["https://openalex.org/W2335071938","https://openalex.org/W2905919007","https://openalex.org/W3044015519","https://openalex.org/W2023818677","https://openalex.org/W2040308058","https://openalex.org/W1489986405","https://openalex.org/W2382784327","https://openalex.org/W2140446896","https://openalex.org/W2575230999","https://openalex.org/W2386589381"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"eigenstructure":[3,35,64,99,111],"assignment":[4,100,112],"problems":[5],"for":[6,63,94,110],"polynomial":[7,22,43,76],"matrix":[8,23,77],"systems":[9,78],"ensuring":[10,65,97,113],"normalization":[11,66,114],"and":[12,55,115],"impulse":[13,95,116],"elimination":[14,74,96,117],"are":[15,67,101,118],"considered.":[16],"By":[17,39],"using":[18],"linearization":[19],"method,":[20],"a":[21,28],"system":[24,31],"is":[25,53,79,85],"transformed":[26],"into":[27],"descriptor":[29],"linear":[30],"without":[32],"changing":[33],"the":[34,41,45,48,57,82,124],"of":[36,44,60,91,106,126],"original":[37],"system.":[38],"analyzing":[40],"characteristic":[42],"desired":[46],"system,":[47],"normalizable":[49,83],"condition":[50,84],"under":[51],"feedback":[52],"given,":[54],"moreover,":[56],"parametric":[58,89],"expressions":[59,90],"controller":[61,92,108],"gains":[62,93,109],"derived":[68],"by":[69],"singular":[70],"value":[71],"decomposition.":[72],"Impulse":[73],"in":[75],"investigated":[80],"when":[81],"not":[86],"satisfied.":[87],"The":[88,103],"finite":[98],"formulated.":[102],"solving":[104],"algorithms":[105],"corresponding":[107],"also":[119],"presented.":[120],"Numerical":[121],"examples":[122],"show":[123],"effectiveness":[125],"proposed":[127],"method.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-19T21:40:30.786675","created_date":"2025-10-10T00:00:00"}
