{"id":"https://openalex.org/W3178692243","doi":"https://doi.org/10.34768/amcs-2021-0014","title":"Comparison of direct and perturbation approaches to analysis of infinite-dimensional feedback control systems","display_name":"Comparison of direct and perturbation approaches to analysis of infinite-dimensional feedback control systems","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3178692243","doi":"https://doi.org/10.34768/amcs-2021-0014","mag":"3178692243"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.34768/amcs-2021-0014","pdf_url":"https://sciendo.com/pdf/10.34768/amcs-2021-0014","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.34768/amcs-2021-0014","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101025837","display_name":"Piotr Grabowski","orcid":null},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Piotr Grabowski","raw_affiliation_strings":["Institute of Control Engineering and Robotics, AGH University of Science and Technology Al"],"affiliations":[{"raw_affiliation_string":"Institute of Control Engineering and Robotics, AGH University of Science and Technology Al","institution_ids":["https://openalex.org/I686019"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101025837"],"corresponding_institution_ids":["https://openalex.org/I686019"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100,"provenance":"doaj"},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100,"provenance":"doaj"},"fwci":0.248,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.574966,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":67,"max":72},"biblio":{"volume":"31","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998,"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":0.9998,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9985,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9981,"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/robustness","display_name":"Robustness","score":0.48369437},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.47440478}],"concepts":[{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.72968423},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7020046},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6960802},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5513232},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.53825873},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.508965},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.48369437},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.47440478},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.46937394},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42695963},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36401466},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17493752},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17326483},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.109793514},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.34768/amcs-2021-0014","pdf_url":"https://sciendo.com/pdf/10.34768/amcs-2021-0014","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://doaj.org/article/8881f07a97c1458e9c2500e1b9eef376","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.34768/amcs-2021-0014","pdf_url":"https://sciendo.com/pdf/10.34768/amcs-2021-0014","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.75}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":31,"referenced_works":["https://openalex.org/W1482401214","https://openalex.org/W1527296550","https://openalex.org/W1538686203","https://openalex.org/W1569024867","https://openalex.org/W1575147392","https://openalex.org/W1966725979","https://openalex.org/W1968350782","https://openalex.org/W1974543079","https://openalex.org/W1976466223","https://openalex.org/W1979288774","https://openalex.org/W1979560370","https://openalex.org/W2009641189","https://openalex.org/W2034084071","https://openalex.org/W2049589326","https://openalex.org/W2049894267","https://openalex.org/W2063263624","https://openalex.org/W2078929916","https://openalex.org/W2248899910","https://openalex.org/W2321579877","https://openalex.org/W2482990771","https://openalex.org/W2492899955","https://openalex.org/W2568674360","https://openalex.org/W2596395845","https://openalex.org/W3216034703","https://openalex.org/W403501690","https://openalex.org/W4238557108","https://openalex.org/W4292399988","https://openalex.org/W4299150230","https://openalex.org/W4300857049","https://openalex.org/W593634829","https://openalex.org/W769830738"],"related_works":["https://openalex.org/W4386136165","https://openalex.org/W4327812601","https://openalex.org/W4301340745","https://openalex.org/W3106150653","https://openalex.org/W2963600173","https://openalex.org/W2951761543","https://openalex.org/W2945455047","https://openalex.org/W2924465594","https://openalex.org/W2350866827","https://openalex.org/W2200939905"],"abstract_inverted_index":{"For":[0],"general":[1],"boundary":[2],"control":[3],"systems":[4],"in":[5,23,87,112],"factor":[6],"form":[7],"some":[8,90,105],"necessary":[9],"and":[10,26,55,72,102,119],"sufficient":[11],"conditions":[12],"for":[13,29,62],"generation":[14],"of":[15,89,92,116],"an":[16,75,117],"analytic":[17],"exponentially":[18],"stable":[19],"semigroup":[20],"are":[21],"proposed":[22],"both":[24],"direct":[25,32],"perturbation":[27,66],"forms":[28],"comparison.":[30],"The":[31,65,108],"approach":[33],"is":[34,70,85,110],"applicable":[35],"to":[36,50,53],"operators":[37,51],"with":[38,104,114,124],"the":[39,81,93,97],"numerical":[40],"range":[41],"satisfying":[42],"certain":[43],"additional":[44],"conditions.":[45],"In":[46],"particular,":[47],"it":[48,57],"applies":[49],"similar":[52],"convexoids":[54],"therefore":[56],"generalizes":[58],"previous":[59],"results":[60],"known":[61],"hyponormal":[63],"operators.":[64],"result":[67,79],"(indirect":[68],"approach)":[69],"derived":[71],"formulated":[73],"as":[74],"exponential":[76],"stability":[77],"robustness":[78],"using":[80],"frequence-domain":[82],"considerations.":[83],"It":[84],"expressed":[86],"terms":[88],"estimates":[91],"resolvent":[94],"growth":[95],"over":[96],"open":[98],"right":[99],"complex":[100],"half-plane":[101],"compared":[103],"recent":[106],"results.":[107],"analysis":[109],"illustrated":[111],"detail":[113],"examples":[115],"unloaded":[118],"loaded":[120],"electric":[121],"RC-transmission":[122],"line":[123],"proportional":[125],"negative":[126],"feedback.":[127]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3178692243","counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-01-05T12:49:41.876195","created_date":"2021-07-19"}