{"id":"https://openalex.org/W4399356000","doi":"https://doi.org/10.1109/lcsys.2024.3415489","title":"Computation of Maximal Admissible Robust Positive Invariant Sets for Linear Systems With Parametric and Additive Uncertainties","display_name":"Computation of Maximal Admissible Robust Positive Invariant Sets for Linear Systems With Parametric and Additive Uncertainties","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4399356000","doi":"https://doi.org/10.1109/lcsys.2024.3415489"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2024.3415489","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2024.3415489","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2406.00355","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074224736","display_name":"Anchita Dey","orcid":"https://orcid.org/0000-0001-5486-4777"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anchita Dey","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India"],"raw_orcid":"https://orcid.org/0000-0001-5486-4777","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034219830","display_name":"Shubhendu Bhasin","orcid":"https://orcid.org/0000-0002-8002-9684"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shubhendu Bhasin","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India"],"raw_orcid":"https://orcid.org/0000-0002-8002-9684","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India","institution_ids":["https://openalex.org/I68891433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I68891433"],"apc_list":null,"apc_paid":null,"fwci":0.7627,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66306418,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"8","issue":null,"first_page":"1775","last_page":"1780"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9993000030517578,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9993000030517578,"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":0.9988999962806702,"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/T11236","display_name":"Control Systems and Identification","score":0.9944000244140625,"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/polytope","display_name":"Polytope","score":0.8217043876647949},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.7549110651016235},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7040838003158569},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6206368803977966},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5941210389137268},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5668712854385376},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5190985202789307},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.46455878019332886},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.436712384223938},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.42976588010787964},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38064295053482056},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31120502948760986},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3092838227748871},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2456444501876831},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09889978170394897}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8217043876647949},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7549110651016235},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7040838003158569},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6206368803977966},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5941210389137268},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5668712854385376},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5190985202789307},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.46455878019332886},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.436712384223938},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.42976588010787964},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38064295053482056},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31120502948760986},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3092838227748871},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2456444501876831},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09889978170394897},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lcsys.2024.3415489","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2024.3415489","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2406.00355","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2406.00355","pdf_url":"https://arxiv.org/pdf/2406.00355","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:2406.00355","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2406.00355","pdf_url":"https://arxiv.org/pdf/2406.00355","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":[],"funders":[{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4399356000.pdf","grobid_xml":"https://content.openalex.org/works/W4399356000.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1549831266","https://openalex.org/W1880805667","https://openalex.org/W1969966372","https://openalex.org/W1982092449","https://openalex.org/W1998915836","https://openalex.org/W2016660844","https://openalex.org/W2042741865","https://openalex.org/W2055319245","https://openalex.org/W2063551058","https://openalex.org/W2084166574","https://openalex.org/W2090332463","https://openalex.org/W2098530662","https://openalex.org/W2101138302","https://openalex.org/W2101893420","https://openalex.org/W2116128503","https://openalex.org/W2118830797","https://openalex.org/W2119974577","https://openalex.org/W2120883078","https://openalex.org/W2121243314","https://openalex.org/W2127067432","https://openalex.org/W2127580532","https://openalex.org/W2138410957","https://openalex.org/W2152511979","https://openalex.org/W2168024970","https://openalex.org/W2171505650","https://openalex.org/W2919264892","https://openalex.org/W3196823165","https://openalex.org/W4312258492","https://openalex.org/W4379409446","https://openalex.org/W4389799474","https://openalex.org/W6637240367"],"related_works":["https://openalex.org/W4280529077","https://openalex.org/W1493684871","https://openalex.org/W2886567582","https://openalex.org/W4390962314","https://openalex.org/W4289703404","https://openalex.org/W2999175164","https://openalex.org/W4387265813","https://openalex.org/W2953363500","https://openalex.org/W4287022798","https://openalex.org/W3195259914"],"abstract_inverted_index":{"In":[0],"this":[1],"letter,":[2],"we":[3],"address":[4],"the":[5,9,39,43,61,64,73,101,112],"problem":[6],"of":[7,63,72],"computing":[8],"maximal":[10],"admissible":[11],"robust":[12],"positive":[13],"invariant":[14],"(MARPI)":[15],"set":[16,74],"for":[17,60],"discrete-time":[18],"linear":[19],"time-varying":[20],"systems":[21],"with":[22,83],"parametric":[23],"uncertainties":[24],"and":[25,31,38,42,57,68,100],"additive":[26],"disturbances.":[27],"The":[28,88],"system":[29,40],"state":[30],"input":[32],"are":[33,46],"subject":[34],"to":[35,48,50,77,110],"hard":[36],"constraints,":[37],"parameters":[41],"exogenous":[44],"disturbance":[45],"assumed":[47],"belong":[49],"known":[51],"convex":[52],"polytopes.":[53],"We":[54],"provide":[55],"necessary":[56],"sufficient":[58],"conditions":[59],"existence":[62],"non-empty":[65],"MARPI":[66],"set,":[67],"explore":[69],"relevant":[70],"features":[71],"that":[75],"lead":[76],"an":[78],"efficient":[79],"finite-time":[80],"converging":[81],"algorithm":[82],"a":[84],"suitable":[85],"stopping":[86],"criterion.":[87],"analysis":[89],"hinges":[90],"on":[91],"backward":[92],"reachable":[93],"sets":[94],"defined":[95],"using":[96],"recursively":[97],"computed":[98],"halfspaces":[99],"minimal":[102],"RPI":[103],"set.":[104],"A":[105],"numerical":[106],"example":[107],"is":[108],"used":[109],"validate":[111],"theoretical":[113],"development.":[114]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2024-06-06T00:00:00"}