{"id":"https://openalex.org/W4327752877","doi":"https://doi.org/10.1093/imamci/dnac033","title":"Feedback semiglobal stabilization to trajectories for the Kuramoto\u2013Sivashinsky equation","display_name":"Feedback semiglobal stabilization to trajectories for the Kuramoto\u2013Sivashinsky equation","publication_year":2022,"publication_date":"2022-12-23","ids":{"openalex":"https://openalex.org/W4327752877","doi":"https://doi.org/10.1093/imamci/dnac033"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnac033","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnac033","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5029809063","display_name":"S\u00e9rgio S. Rodrigues","orcid":"https://orcid.org/0000-0002-4604-4856"},"institutions":[{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"S\u00e9rgio S Rodrigues","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics , \u00d6AW, Altenbergerstr. 69, 4040 Linz , Austria"],"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics , \u00d6AW, Altenbergerstr. 69, 4040 Linz , Austria","institution_ids":["https://openalex.org/I4210158379"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065079078","display_name":"Dagmawi A Seifu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Dagmawi A Seifu","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics , \u00d6AW, Altenbergerstr. 69, 4040 Linz , Austria"],"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics , \u00d6AW, Altenbergerstr. 69, 4040 Linz , Austria","institution_ids":["https://openalex.org/I4210158379"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029809063"],"corresponding_institution_ids":["https://openalex.org/I4210158379"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20257504,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"1","first_page":"38","last_page":"80"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9527999758720398,"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/trajectory","display_name":"Trajectory","score":0.6819018125534058},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.6489429473876953},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6224319934844971},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5943847894668579},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5821300745010376},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4633963406085968},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.4621949791908264},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.43104758858680725},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42584097385406494},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4225307106971741},{"id":"https://openalex.org/keywords/kuramoto-model","display_name":"Kuramoto model","score":0.4119222164154053},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3911803960800171},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3621678352355957},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35607945919036865},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1607545018196106},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.13306498527526855},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.12338531017303467},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08099853992462158},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05045795440673828}],"concepts":[{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6819018125534058},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.6489429473876953},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6224319934844971},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5943847894668579},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5821300745010376},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4633963406085968},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.4621949791908264},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43104758858680725},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42584097385406494},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4225307106971741},{"id":"https://openalex.org/C2780042749","wikidata":"https://www.wikidata.org/wiki/Q604374","display_name":"Kuramoto model","level":4,"score":0.4119222164154053},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3911803960800171},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3621678352355957},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35607945919036865},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1607545018196106},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.13306498527526855},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.12338531017303467},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08099853992462158},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05045795440673828},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnac033","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnac033","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W1705108084","https://openalex.org/W1756893185","https://openalex.org/W1835398917","https://openalex.org/W1993224190","https://openalex.org/W2027319740","https://openalex.org/W2027854577","https://openalex.org/W2029792495","https://openalex.org/W2034024496","https://openalex.org/W2047345540","https://openalex.org/W2051440501","https://openalex.org/W2076582418","https://openalex.org/W2085902949","https://openalex.org/W2107634631","https://openalex.org/W2131868609","https://openalex.org/W2170544117","https://openalex.org/W2515260177","https://openalex.org/W2541681687","https://openalex.org/W2564952597","https://openalex.org/W2596668065","https://openalex.org/W2802338388","https://openalex.org/W2809463645","https://openalex.org/W2893080515","https://openalex.org/W2901088389","https://openalex.org/W2963913058","https://openalex.org/W2965517483","https://openalex.org/W2969321532","https://openalex.org/W2992050373","https://openalex.org/W2996027434","https://openalex.org/W3139832870","https://openalex.org/W3153886863","https://openalex.org/W3185991779","https://openalex.org/W3201625229","https://openalex.org/W3204795010","https://openalex.org/W3205435445","https://openalex.org/W3205483884","https://openalex.org/W3214318368","https://openalex.org/W3217296369","https://openalex.org/W4200633343","https://openalex.org/W4210493029","https://openalex.org/W4210620668","https://openalex.org/W4213296675","https://openalex.org/W4250012170","https://openalex.org/W4281477647","https://openalex.org/W4281490523","https://openalex.org/W6637706315","https://openalex.org/W6638503987","https://openalex.org/W6766333036","https://openalex.org/W6804537214","https://openalex.org/W6805361571","https://openalex.org/W6838488515","https://openalex.org/W6838655585"],"related_works":["https://openalex.org/W1989590366","https://openalex.org/W2883218885","https://openalex.org/W4299867368","https://openalex.org/W2990558791","https://openalex.org/W2580263147","https://openalex.org/W2949454199","https://openalex.org/W2282239531","https://openalex.org/W2953464740","https://openalex.org/W2963923808","https://openalex.org/W2736987736"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2,10],"shown":[3],"that":[4],"an":[5],"oblique":[6],"projection-based":[7],"feedback":[8,69],"control":[9],"able":[11],"to":[12,24],"stabilize":[13],"the":[14,17,47,56,64,68],"state":[15],"of":[16,32,36,67],"Kuramoto\u2013Sivashinsky":[18],"equation,":[19],"evolving":[20],"in":[21,40,46,55],"rectangular":[22],"domains,":[23],"a":[25,33],"given":[26],"time-dependent":[27],"trajectory.":[28],"The":[29],"actuators":[30],"consist":[31],"finite":[34],"number":[35],"indicator":[37],"functions":[38],"supported":[39],"small":[41],"subdomains.":[42],"Simulations":[43],"are":[44],"presented,":[45],"one-dimensional":[48],"case":[49,58],"under":[50,59],"periodic":[51],"boundary":[52,61],"conditions":[53],"and":[54],"two-dimensional":[57],"Neumann":[60],"conditions,":[62],"showing":[63],"stabilizing":[65],"performance":[66],"control.":[70]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}