{"id":"https://openalex.org/W3096828102","doi":"https://doi.org/10.1177/0959651820966892","title":"L2 norm-based finite-time stability and boundedness of singular distributed parameter systems with parabolic type","display_name":"L2 norm-based finite-time stability and boundedness of singular distributed parameter systems with parabolic type","publication_year":2020,"publication_date":"2020-11-02","ids":{"openalex":"https://openalex.org/W3096828102","doi":"https://doi.org/10.1177/0959651820966892","mag":"3096828102"},"language":"en","primary_location":{"id":"doi:10.1177/0959651820966892","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651820966892","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","raw_type":"journal-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/A5050708940","display_name":"Xingyu Zhou","orcid":"https://orcid.org/0000-0002-0523-5699"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xingyu Zhou","raw_affiliation_strings":["LaFCAS, School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LaFCAS, School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075838309","display_name":"Haoping Wang","orcid":"https://orcid.org/0000-0003-1888-1849"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haoping Wang","raw_affiliation_strings":["LaFCAS, School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China"],"raw_orcid":"https://orcid.org/0000-0003-1888-1849","affiliations":[{"raw_affiliation_string":"LaFCAS, School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101949419","display_name":"Yang Tian","orcid":"https://orcid.org/0000-0001-6612-5226"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Tian","raw_affiliation_strings":["LaFCAS, School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LaFCAS, School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050708940"],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14208248,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"235","issue":"6","first_page":"735","last_page":"750"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":1.0,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":1.0,"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":0.9914000034332275,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9912999868392944,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7789162397384644},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6601698398590088},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5903521180152893},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4758194088935852},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4452115297317505},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4448344111442566},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41298624873161316},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36564314365386963},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3329809010028839},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15429013967514038},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1385008692741394},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08059504628181458}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7789162397384644},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6601698398590088},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5903521180152893},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4758194088935852},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4452115297317505},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4448344111442566},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41298624873161316},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36564314365386963},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3329809010028839},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15429013967514038},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1385008692741394},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08059504628181458},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0959651820966892","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651820966892","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G267107360","display_name":null,"funder_award_id":"2015DFA01710","funder_id":"https://openalex.org/F4320335830","funder_display_name":"International Science and Technology Cooperation Programme"},{"id":"https://openalex.org/G332614937","display_name":null,"funder_award_id":"KYCX20_0288","funder_id":"https://openalex.org/F4320335769","funder_display_name":"Graduate Research and Innovation Projects of Jiangsu Province"},{"id":"https://openalex.org/G5815861023","display_name":null,"funder_award_id":"61773212","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7012157806","display_name":null,"funder_award_id":"BK20170094","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335769","display_name":"Graduate Research and Innovation Projects of Jiangsu Province","ror":null},{"id":"https://openalex.org/F4320335830","display_name":"International Science and Technology Cooperation Programme","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W849294061","https://openalex.org/W1538686203","https://openalex.org/W1542130108","https://openalex.org/W1987648532","https://openalex.org/W2006692508","https://openalex.org/W2011655071","https://openalex.org/W2027796816","https://openalex.org/W2031179030","https://openalex.org/W2036095974","https://openalex.org/W2053123904","https://openalex.org/W2053699133","https://openalex.org/W2070623399","https://openalex.org/W2078178370","https://openalex.org/W2102889792","https://openalex.org/W2103314329","https://openalex.org/W2111836897","https://openalex.org/W2117402928","https://openalex.org/W2126773645","https://openalex.org/W2136598296","https://openalex.org/W2146501889","https://openalex.org/W2150977979","https://openalex.org/W2228862180","https://openalex.org/W2272658033","https://openalex.org/W2505734780","https://openalex.org/W2560100014","https://openalex.org/W2565084085","https://openalex.org/W2594470264","https://openalex.org/W2765636813","https://openalex.org/W2782017918","https://openalex.org/W2802990478","https://openalex.org/W2806380627","https://openalex.org/W2898418419","https://openalex.org/W2912659507","https://openalex.org/W2928811382","https://openalex.org/W2935874462","https://openalex.org/W2990544198","https://openalex.org/W2990825163","https://openalex.org/W2995685539","https://openalex.org/W3009594751"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W4385301946","https://openalex.org/W2074717584","https://openalex.org/W4300989278","https://openalex.org/W327603423","https://openalex.org/W4285551356","https://openalex.org/W3042530036","https://openalex.org/W2897741391"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"the":[3,17,45,83,92,102,117,130,133],"problem":[4],"of":[5,19,47,62,75,101,132],"finite-time":[6,35,38,67,97],"stability":[7,36,68],"and":[8,37,52,69,78,99,116],"boundedness":[9,39,70],"for":[10,40],"parabolic":[11],"singular":[12,104],"distributed":[13,84,105],"parameter":[14,106],"systems":[15],"in":[16],"sense":[18],"[Formula:":[20,31,63,93],"see":[21,32,64,94],"text]":[22,33,65,95],"norm":[23],"is":[24],"investigated.":[25],"First,":[26],"two":[27],"new":[28],"results":[29],"on":[30,111],"norm-based":[34,66,96],"above-mentioned":[41],"systems,":[42],"inspired":[43],"by":[44,73],"light":[46],"partial":[48],"differential":[49,76],"equations":[50],"theory":[51],"Lyapunov":[53],"functional":[54],"method,":[55],"are":[56,71,88,126],"presented.":[57],"Then,":[58],"some":[59],"sufficient":[60],"conditions":[61],"established":[72],"virtue":[74],"inequalities":[77],"linear":[79],"matrix":[80],"inequalities.":[81],"Furthermore,":[82],"state":[85],"feedback":[86],"controllers":[87],"constructed":[89],"to":[90,128],"guarantee":[91],"stable":[98],"bounded":[100],"closed-loop":[103],"systems.":[107],"Finally,":[108],"numerical":[109,114],"simulations":[110],"a":[112],"specific":[113],"example":[115],"building":[118],"temperature":[119],"control":[120],"system":[121],"equipped":[122],"with":[123],"air":[124],"conditioning":[125],"given":[127],"demonstrate":[129],"validity":[131],"proposed":[134],"methods.":[135]},"counts_by_year":[],"updated_date":"2026-05-05T06:06:40.768181","created_date":"2025-10-10T00:00:00"}
