{"id":"https://openalex.org/W2747202477","doi":"https://doi.org/10.1007/s00498-018-0210-8","title":"Strong input-to-state stability for infinite-dimensional linear systems","display_name":"Strong input-to-state stability for infinite-dimensional linear systems","publication_year":2018,"publication_date":"2018-03-01","ids":{"openalex":"https://openalex.org/W2747202477","doi":"https://doi.org/10.1007/s00498-018-0210-8","mag":"2747202477"},"language":"en","primary_location":{"id":"doi:10.1007/s00498-018-0210-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00498-018-0210-8","pdf_url":null,"source":{"id":"https://openalex.org/S88345224","display_name":"Mathematics of Control Signals and Systems","issn_l":"0932-4194","issn":["0932-4194","1435-568X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Control, Signals, and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1708.07482","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039172004","display_name":"Robert Nabiullin","orcid":"https://orcid.org/0000-0002-7831-0426"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Robert Nabiullin","raw_affiliation_strings":["School of Mathematics and Natural Sciences, University of Wuppertal, Gau\u00dfstra\u00dfe 20, 42119, Wuppertal, Germany","School of Mathematics and Natural Sciences, University of Wuppertal, Wuppertal, Germany"],"raw_orcid":"https://orcid.org/0000-0002-7831-0426","affiliations":[{"raw_affiliation_string":"School of Mathematics and Natural Sciences, University of Wuppertal, Gau\u00dfstra\u00dfe 20, 42119, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]},{"raw_affiliation_string":"School of Mathematics and Natural Sciences, University of Wuppertal, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011609914","display_name":"Felix L. Schwenninger","orcid":"https://orcid.org/0000-0002-2030-6504"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Felix L. Schwenninger","raw_affiliation_strings":["Department of Mathematics, Center for Optimization and Approximation, University of Hamburg, Bundesstra\u00dfe 55, 20146, Hamburg, Germany","Department of Mathematics, Center for Optimization and Approximation, University of Hamburg, Hamburg, Germany"],"raw_orcid":"https://orcid.org/0000-0002-2030-6504","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Center for Optimization and Approximation, University of Hamburg, Bundesstra\u00dfe 55, 20146, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309"]},{"raw_affiliation_string":"Department of Mathematics, Center for Optimization and Approximation, University of Hamburg, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039172004"],"corresponding_institution_ids":["https://openalex.org/I167360494"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2783,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80038683,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"30","issue":"1","first_page":null,"last_page":null},"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":0.9998999834060669,"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":0.9998999834060669,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9962999820709229,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9947999715805054,"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/state","display_name":"State (computer science)","score":0.7004469633102417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6891820430755615},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6885216236114502},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5915709137916565},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5766953825950623},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5297490358352661},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4811733663082123},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.47029468417167664},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4225425720214844},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3864983916282654},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19664326310157776},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12685003876686096},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09437814354896545},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0714905858039856}],"concepts":[{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.7004469633102417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6891820430755615},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6885216236114502},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5915709137916565},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5766953825950623},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5297490358352661},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4811733663082123},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.47029468417167664},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4225425720214844},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3864983916282654},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19664326310157776},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12685003876686096},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09437814354896545},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0714905858039856},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00498-018-0210-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00498-018-0210-8","pdf_url":null,"source":{"id":"https://openalex.org/S88345224","display_name":"Mathematics of Control Signals and Systems","issn_l":"0932-4194","issn":["0932-4194","1435-568X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Control, Signals, and Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1708.07482","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1708.07482","pdf_url":"https://arxiv.org/pdf/1708.07482","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1708.07482","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1708.07482","pdf_url":"https://arxiv.org/pdf/1708.07482","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4459347039","display_name":null,"funder_award_id":"RE 2917/4-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G757735895","display_name":null,"funder_award_id":"JA 735/12-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W55814457","https://openalex.org/W1507247344","https://openalex.org/W1805871248","https://openalex.org/W1984741905","https://openalex.org/W2017493230","https://openalex.org/W2036896457","https://openalex.org/W2049892514","https://openalex.org/W2057820893","https://openalex.org/W2065060801","https://openalex.org/W2080209002","https://openalex.org/W2092180670","https://openalex.org/W2247036405","https://openalex.org/W2332259253","https://openalex.org/W2479300520","https://openalex.org/W2529352710","https://openalex.org/W2583096043","https://openalex.org/W2963030552","https://openalex.org/W3100624220","https://openalex.org/W3101262067","https://openalex.org/W3104949460"],"related_works":["https://openalex.org/W1593898832","https://openalex.org/W2756324413","https://openalex.org/W2142048021","https://openalex.org/W2134075948","https://openalex.org/W2383529437","https://openalex.org/W1790223069","https://openalex.org/W2081245100","https://openalex.org/W1928921784","https://openalex.org/W1973113296","https://openalex.org/W2035543967"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}