{"id":"https://openalex.org/W2169149328","doi":"https://doi.org/10.1109/cdc.2009.5399941","title":"LMI stability constraints for disjoint stability regions using rouché theorem","display_name":"LMI stability constraints for disjoint stability regions using rouché theorem","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2169149328","doi":"https://doi.org/10.1109/cdc.2009.5399941","mag":"2169149328"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5399941","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5399941","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-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/A5011218658","display_name":"Yuri Dolgin","orcid":null},"institutions":[{"id":"https://openalex.org/I2799430644","display_name":"Azrieli College of Engineering Jerusalem","ror":"https://ror.org/05tg57g61","country_code":"IL","type":"education","lineage":["https://openalex.org/I2799430644"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Yuri Dolgin","raw_affiliation_strings":["Department of Electronics Engineering, Jerusalem College of Engineering, Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electronics Engineering, Jerusalem College of Engineering, Jerusalem, Israel","institution_ids":["https://openalex.org/I2799430644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042465753","display_name":"E. Zeheb","orcid":"https://orcid.org/0000-0002-9190-2151"},"institutions":[{"id":"https://openalex.org/I2799430644","display_name":"Azrieli College of Engineering Jerusalem","ror":"https://ror.org/05tg57g61","country_code":"IL","type":"education","lineage":["https://openalex.org/I2799430644"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ezra Zeheb","raw_affiliation_strings":["Department of Electronics Engineering, Jerusalem College of Engineering, Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electronics Engineering, Jerusalem College of Engineering, Jerusalem, Israel","institution_ids":["https://openalex.org/I2799430644"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011218658"],"corresponding_institution_ids":["https://openalex.org/I2799430644"],"apc_list":null,"apc_paid":null,"fwci":0.7654,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.7933235,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"51","issue":null,"first_page":"6172","last_page":"6176"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994999766349792,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994999766349792,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9977999925613403,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9955000281333923,"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/disjoint-sets","display_name":"Disjoint sets","score":0.8518615961074829},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7853785157203674},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7274306416511536},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6246272325515747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6088595986366272},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5728495121002197},{"id":"https://openalex.org/keywords/stability-theorem","display_name":"Stability theorem","score":0.5600919127464294},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.47903838753700256},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.47191503643989563},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40796002745628357},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32869988679885864},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.294686496257782},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25813090801239014},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08250364661216736},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05568835139274597}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.8518615961074829},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7853785157203674},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7274306416511536},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6246272325515747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6088595986366272},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5728495121002197},{"id":"https://openalex.org/C2985318062","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theorem","level":3,"score":0.5600919127464294},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.47903838753700256},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.47191503643989563},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40796002745628357},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32869988679885864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.294686496257782},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25813090801239014},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08250364661216736},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05568835139274597},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2009.5399941","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5399941","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1574669531","https://openalex.org/W1966155951","https://openalex.org/W2018968321","https://openalex.org/W2055319245","https://openalex.org/W2061173738","https://openalex.org/W2061242746","https://openalex.org/W2077623298","https://openalex.org/W2080153087","https://openalex.org/W2106295045","https://openalex.org/W2108301344","https://openalex.org/W2125190651","https://openalex.org/W2151079381","https://openalex.org/W2154313708","https://openalex.org/W2164628203","https://openalex.org/W2164665985"],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W4256429076","https://openalex.org/W2012063272","https://openalex.org/W2348092930","https://openalex.org/W2062850566","https://openalex.org/W4386395423","https://openalex.org/W4366562581","https://openalex.org/W2049589989","https://openalex.org/W1793337513"],"abstract_inverted_index":{"Stability":[0],"domain":[1,19],"characterization":[2],"in":[3,20],"coefficients":[4,21],"space":[5,22],"of":[6,11,17,32,37,44,59],"polynomials":[7],"is":[8,23,47],"considered.":[9],"Generalization":[10],"existing":[12],"results":[13],"on":[14],"convex":[15],"approximation":[16],"stability":[18,33,39,45],"proposed.":[24],"The":[25],"proposed":[26,61],"method":[27],"can":[28],"handle":[29],"broad":[30],"class":[31],"regions":[34],"including":[35],"unions":[36],"disjoint":[38],"regions.":[40],"New":[41],"LMI":[42],"formulation":[43],"constraints":[46],"developed":[48],"for":[49],"discrete-time":[50],"polynomials.":[51],"Numerical":[52],"examples":[53],"are":[54],"provided,":[55],"demonstrating":[56],"the":[57,60],"applicability":[58],"method.":[62]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}