{"id":"https://openalex.org/W7124981244","doi":"https://doi.org/10.1080/00207179.2026.2616626","title":"Results on approximate controllability of neutral Sobolev-type delayed inclusion integro-differential system with impulse","display_name":"Results on approximate controllability of neutral Sobolev-type delayed inclusion integro-differential system with impulse","publication_year":2026,"publication_date":"2026-01-19","ids":{"openalex":"https://openalex.org/W7124981244","doi":"https://doi.org/10.1080/00207179.2026.2616626"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2026.2616626","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2026.2616626","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","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/A5100770268","display_name":"Parveen Kumar","orcid":"https://orcid.org/0000-0002-6151-4422"},"institutions":[{"id":"https://openalex.org/I36909309","display_name":"National Institute of Technology Hamirpur","ror":"https://ror.org/01nc8zs04","country_code":"IN","type":"education","lineage":["https://openalex.org/I36909309","https://openalex.org/I4210152752"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Parveen Kumar","raw_affiliation_strings":["National Institute of Technology Hamirpur"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Technology Hamirpur","institution_ids":["https://openalex.org/I36909309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029610382","display_name":"Ramesh Kumar Vats","orcid":"https://orcid.org/0000-0002-7974-5341"},"institutions":[{"id":"https://openalex.org/I36909309","display_name":"National Institute of Technology Hamirpur","ror":"https://ror.org/01nc8zs04","country_code":"IN","type":"education","lineage":["https://openalex.org/I36909309","https://openalex.org/I4210152752"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ramesh Kumar Vats","raw_affiliation_strings":["National Institute of Technology Hamirpur"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Technology Hamirpur","institution_ids":["https://openalex.org/I36909309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5123376651","display_name":"Om Prakash Kumar Sharma","orcid":null},"institutions":[{"id":"https://openalex.org/I36909309","display_name":"National Institute of Technology Hamirpur","ror":"https://ror.org/01nc8zs04","country_code":"IN","type":"education","lineage":["https://openalex.org/I36909309","https://openalex.org/I4210152752"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Om Prakash Kumar Sharma","raw_affiliation_strings":["National Institute of Technology Hamirpur"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Technology Hamirpur","institution_ids":["https://openalex.org/I36909309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100770268"],"corresponding_institution_ids":["https://openalex.org/I36909309"],"apc_list":null,"apc_paid":null,"fwci":37.958,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.99421025,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"99","issue":"6","first_page":"1828","last_page":"1844"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.4717000126838684,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.4717000126838684,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.2660999894142151,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.07509999722242355,"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/controllability","display_name":"Controllability","score":0.739799976348877},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.694100022315979},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.555899977684021},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.3287000060081482},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.32839998602867126},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.3208000063896179},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.28769999742507935}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.739799976348877},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.694100022315979},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5613999962806702},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.555899977684021},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41019999980926514},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.3287000060081482},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.32839998602867126},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.3208000063896179},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.28769999742507935},{"id":"https://openalex.org/C198386975","wikidata":"https://www.wikidata.org/wiki/Q117785","display_name":"Finite impulse response","level":2,"score":0.2842999994754791},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2831999957561493},{"id":"https://openalex.org/C3018727167","wikidata":"https://www.wikidata.org/wiki/Q6033829","display_name":"Impulse control","level":2,"score":0.2797999978065491},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2718999981880188},{"id":"https://openalex.org/C183816354","wikidata":"https://www.wikidata.org/wiki/Q665617","display_name":"Infinite impulse response","level":4,"score":0.257099986076355},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.2549000084400177},{"id":"https://openalex.org/C90794131","wikidata":"https://www.wikidata.org/wiki/Q7410146","display_name":"Sampled data systems","level":3,"score":0.2547000050544739},{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.2508000135421753},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.2506999969482422}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2026.2616626","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2026.2616626","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8145287036895752,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G42539581","display_name":null,"funder_award_id":"no-25(0321)/23/EMR-II","funder_id":"https://openalex.org/F3825135565","funder_display_name":"Human Resource Development Centre, Council of Scientific And Industrial Research"}],"funders":[{"id":"https://openalex.org/F3825135565","display_name":"Human Resource Development Centre, Council of Scientific And Industrial Research","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1802630318","https://openalex.org/W1924182126","https://openalex.org/W1972105063","https://openalex.org/W2011588582","https://openalex.org/W2017048267","https://openalex.org/W2027177136","https://openalex.org/W2046224797","https://openalex.org/W2048044055","https://openalex.org/W2089646385","https://openalex.org/W2094864752","https://openalex.org/W2120712513","https://openalex.org/W2145403525","https://openalex.org/W2154431850","https://openalex.org/W2228195434","https://openalex.org/W3037336278","https://openalex.org/W3037777156","https://openalex.org/W3100909015","https://openalex.org/W3180973290","https://openalex.org/W3184179543","https://openalex.org/W3211601650","https://openalex.org/W3214147180","https://openalex.org/W4221024619","https://openalex.org/W4284965970","https://openalex.org/W4295338060","https://openalex.org/W4296292923","https://openalex.org/W4309890091","https://openalex.org/W4313477952","https://openalex.org/W4395464588","https://openalex.org/W4402795405","https://openalex.org/W4407386160","https://openalex.org/W4410597021","https://openalex.org/W4412675317"],"related_works":[],"abstract_inverted_index":{"The":[0,70,123],"main":[1,124],"purpose":[2],"of":[3,15,27,55,63,101,120],"this":[4],"research":[5],"paper":[6],"is":[7,88,136,142],"to":[8,144],"explore":[9],"sufficient":[10],"conditions":[11],"for":[12,23,105],"the":[13,16,28,49,53,75,85,99,102,106,113,129,132,146],"existence":[14,100],"mild":[17,103],"solution":[18,104],"and":[19,38,80,118],"approximate":[20],"controllability":[21],"results":[22,125],"a":[24,60],"new":[25],"class":[26],"Sobolev-type":[29,71],"delayed":[30],"neutral":[31],"integro-differential":[32],"inclusion":[33],"system":[34,51,108,135],"with":[35],"nonlocal":[36],"condition":[37],"instantaneous":[39],"impulse":[40],"in":[41],"Banach":[42],"space.":[43],"We":[44],"incorporate":[45],"infinite":[46],"delay":[47],"into":[48,90],"proposed":[50,86,107],"using":[52],"theory":[54,119],"abstract":[56,147],"phase":[57],"space,":[58],"allowing":[59],"realistic":[61],"representation":[62],"systems":[64],"influenced":[65],"by":[66,109],"their":[67],"entire":[68],"past.":[69],"term":[72],"further":[73],"enhances":[74],"model's":[76],"flexibility,":[77],"ensures":[78],"smoother":[79],"more":[81],"stable":[82],"solutions.":[83],"Firstly,":[84],"problem":[87],"converted":[89],"an":[91],"equivalent":[92],"fixed":[93,115],"point":[94,116],"problem.":[95],"Then,":[96],"we":[97],"establish":[98],"leveraging":[110],"semigroup":[111],"theory,":[112],"Bohnenblust\u2013Karlin":[114],"theorem,":[117],"multivalued":[121],"map.":[122],"are":[126],"derived":[127],"under":[128],"consideration":[130],"that":[131],"corresponding":[133],"linear":[134],"approximately":[137],"controllable.":[138],"A":[139],"concrete":[140],"example":[141],"provided":[143],"illustrate":[145],"findings.":[148]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-06-14T06:11:07.267592","created_date":"2026-01-21T00:00:00"}