{"id":"https://openalex.org/W4415719711","doi":"https://doi.org/10.3390/sym17111826","title":"Asymptotic Symmetry Behavior for a Sampled Data Model via Fractional-Order Hold and Delta Operators","display_name":"Asymptotic Symmetry Behavior for a Sampled Data Model via Fractional-Order Hold and Delta Operators","publication_year":2025,"publication_date":"2025-10-30","ids":{"openalex":"https://openalex.org/W4415719711","doi":"https://doi.org/10.3390/sym17111826"},"language":"en","primary_location":{"id":"doi:10.3390/sym17111826","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111826","pdf_url":"https://www.mdpi.com/2073-8994/17/11/1826/pdf?version=1761839688","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/11/1826/pdf?version=1761839688","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081905634","display_name":"Nan Chi","orcid":"https://orcid.org/0000-0003-4966-3844"},"institutions":[{"id":"https://openalex.org/I4210156872","display_name":"Guizhou Institute of Technology","ror":"https://ror.org/05x510r30","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210156872"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nan Chi","raw_affiliation_strings":["College of Science, Guizhou Institute of Technology, Guiyang 550003, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Guizhou Institute of Technology, Guiyang 550003, China","institution_ids":["https://openalex.org/I4210156872"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102986029","display_name":"Cheng Zeng","orcid":"https://orcid.org/0000-0001-8721-6178"},"institutions":[{"id":"https://openalex.org/I4210145500","display_name":"Guizhou Electric Power Design and Research Institute","ror":"https://ror.org/055f13495","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210145500"]},{"id":"https://openalex.org/I4210156872","display_name":"Guizhou Institute of Technology","ror":"https://ror.org/05x510r30","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210156872"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Cheng Zeng","raw_affiliation_strings":["College of Science, Guizhou Institute of Technology, Guiyang 550003, China","Special Key Laboratory of Artificial Intelligence and Intelligent Control of Guizhou Province, Guiyang 550003, China","The Key Laboratory of New Power System Operation Control of Guizhou Province, Guiyang 550003, China"],"raw_orcid":"https://orcid.org/0000-0001-8721-6178","affiliations":[{"raw_affiliation_string":"College of Science, Guizhou Institute of Technology, Guiyang 550003, China","institution_ids":["https://openalex.org/I4210156872"]},{"raw_affiliation_string":"Special Key Laboratory of Artificial Intelligence and Intelligent Control of Guizhou Province, Guiyang 550003, China","institution_ids":[]},{"raw_affiliation_string":"The Key Laboratory of New Power System Operation Control of Guizhou Province, Guiyang 550003, China","institution_ids":["https://openalex.org/I4210145500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102986029"],"corresponding_institution_ids":["https://openalex.org/I4210145500","https://openalex.org/I4210156872"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.34742288,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"11","first_page":"1826","last_page":"1826"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.4999000132083893,"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/T11081","display_name":"Advanced Control Systems Design","score":0.4999000132083893,"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/T11236","display_name":"Control Systems and Identification","score":0.397599995136261,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.041600000113248825,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/discretization","display_name":"Discretization","score":0.6284999847412109},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.6241999864578247},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5756999850273132},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.569599986076355},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5203999876976013},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.516700029373169},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5015000104904175},{"id":"https://openalex.org/keywords/delta-operator","display_name":"Delta operator","score":0.4740000069141388},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4544999897480011}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6284999847412109},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.6241999864578247},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5756999850273132},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.569599986076355},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5203999876976013},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.516700029373169},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5015000104904175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47940000891685486},{"id":"https://openalex.org/C115633367","wikidata":"https://www.wikidata.org/wiki/Q5254796","display_name":"Delta operator","level":5,"score":0.4740000069141388},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4544999897480011},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4203000068664551},{"id":"https://openalex.org/C90794131","wikidata":"https://www.wikidata.org/wiki/Q7410146","display_name":"Sampled data systems","level":3,"score":0.40639999508857727},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4016999900341034},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3878999948501587},{"id":"https://openalex.org/C43656286","wikidata":"https://www.wikidata.org/wiki/Q2100961","display_name":"Pole\u2013zero plot","level":3,"score":0.37380000948905945},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.3650999963283539},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.3538999855518341},{"id":"https://openalex.org/C54486999","wikidata":"https://www.wikidata.org/wiki/Q209675","display_name":"Dirac delta function","level":2,"score":0.3517000079154968},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.3345000147819519},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3181000053882599},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.3050000071525574},{"id":"https://openalex.org/C2986012078","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling interval","level":2,"score":0.302700012922287},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.29750001430511475},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.29670000076293945},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2782000005245209},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2727000117301941},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26980000734329224},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.25839999318122864},{"id":"https://openalex.org/C2985946229","wikidata":"https://www.wikidata.org/wiki/Q49908","display_name":"Data sampling","level":2,"score":0.2547999918460846},{"id":"https://openalex.org/C5072461","wikidata":"https://www.wikidata.org/wiki/Q49506","display_name":"Delta","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17111826","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111826","pdf_url":"https://www.mdpi.com/2073-8994/17/11/1826/pdf?version=1761839688","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17111826","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111826","pdf_url":"https://www.mdpi.com/2073-8994/17/11/1826/pdf?version=1761839688","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3610549014","display_name":"\u968f\u673a\u91c7\u6837\u63a7\u5236\u7cfb\u7edf\u96f6\u52a8\u6001\u7684\u7a33\u5b9a\u6027\u7814\u7a76","funder_award_id":"61763004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G809541477","display_name":null,"funder_award_id":"62163008","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"},{"id":"https://openalex.org/F4320327775","display_name":"Guizhou Institute of Technology","ror":"https://ror.org/05x510r30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415719711.pdf","grobid_xml":"https://content.openalex.org/works/W4415719711.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W331957638","https://openalex.org/W597444017","https://openalex.org/W1966376889","https://openalex.org/W1967849210","https://openalex.org/W1975231952","https://openalex.org/W1978358993","https://openalex.org/W1988615450","https://openalex.org/W1997575620","https://openalex.org/W1997876147","https://openalex.org/W1999267973","https://openalex.org/W2020342207","https://openalex.org/W2029269778","https://openalex.org/W2036180039","https://openalex.org/W2043213309","https://openalex.org/W2054959757","https://openalex.org/W2089575320","https://openalex.org/W2097198476","https://openalex.org/W2099681040","https://openalex.org/W2104085896","https://openalex.org/W2112355057","https://openalex.org/W2126068089","https://openalex.org/W2138370664","https://openalex.org/W2145183682","https://openalex.org/W2153576816","https://openalex.org/W2170137173","https://openalex.org/W2553474961","https://openalex.org/W2892824783","https://openalex.org/W4214591915","https://openalex.org/W4225783371","https://openalex.org/W4292872153","https://openalex.org/W4386012914"],"related_works":[],"abstract_inverted_index":{"Controllers":[0],"designed":[1],"on":[2],"the":[3,18,38,43,48,59,76,101,108,118,129],"basis":[4,77],"of":[5,25,50,78,128],"an":[6],"approximate":[7],"discrete":[8,84],"time":[9],"model":[10,69],"can":[11],"fail":[12],"when":[13],"they":[14],"are":[15,73,97],"applied":[16],"to":[17],"real":[19],"processes.":[20],"This":[21],"is":[22,124],"a":[23,51,125],"problem":[24],"interest":[26],"in":[27,47,70,107],"adaptive":[28],"symmetry":[29,95],"control":[30],"system":[31,85,113],"theory.":[32],"In":[33,99],"this":[34],"paper,":[35],"we":[36,81],"introduce":[37],"certain":[39],"polynomial":[40],"for":[41,112],"discretizing":[42],"n-th":[44],"order":[45],"integrator":[46],"case":[49],"fractional-order":[52],"hold":[53],"(FROH)":[54],"and":[55,66,88],"delta":[56],"operator.":[57],"Moreover,":[58],"corresponding":[60,130],"FROH":[61,83],"discretization":[62],"pulse":[63],"transfer":[64],"function":[65],"sampling":[67,89,104,119],"data":[68],"normal":[71],"form":[72],"derived.":[74],"On":[75],"these":[79],"results,":[80],"present":[82],"zero":[86,90,105],"dynamics":[87,91,106],"where":[92],"their":[93],"asymptotic":[94],"properties":[96],"obtained.":[98],"addition,":[100],"implications":[102],"incorporating":[103],"discrete-time":[109],"models":[110],"used":[111],"identification":[114],"become":[115],"evident":[116],"as":[117],"period":[120],"approaches":[121],"zero.":[122],"It":[123],"further":[126],"extension":[127],"results.":[131]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-31T00:00:00"}
