{"id":"https://openalex.org/W1972637356","doi":"https://doi.org/10.1109/cdc.2013.6760071","title":"Stability analysis of positive bilinear control systems: A variational approach","display_name":"Stability analysis of positive bilinear control systems: A variational approach","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W1972637356","doi":"https://doi.org/10.1109/cdc.2013.6760071","mag":"1972637356"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760071","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","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/A5014911041","display_name":"Gal Hochma","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Gal Hochma","raw_affiliation_strings":["School of Electrical Engineering, Tel Aviv University, Israel","Sch. of Electr. Eng., Tel-Aviv Univ., Tel-Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Sch. of Electr. Eng., Tel-Aviv Univ., Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074869481","display_name":"Michael Margaliot","orcid":"https://orcid.org/0000-0001-8319-8996"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Michael Margaliot","raw_affiliation_strings":["School of Electrical Engineering, Tel Aviv University, Israel","Sch. of Electr. Eng., Tel-Aviv Univ., Tel-Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Sch. of Electr. Eng., Tel-Aviv Univ., Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5271,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.84113693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"1","issue":null,"first_page":"1355","last_page":"1359"},"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":0.9998999834060669,"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/T10046","display_name":"Stability and Control of Uncertain Systems","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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9940999746322632,"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/T11236","display_name":"Control Systems and Identification","score":0.9925000071525574,"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/spectral-radius","display_name":"Spectral radius","score":0.8443762063980103},{"id":"https://openalex.org/keywords/orthant","display_name":"Orthant","score":0.8224066495895386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7740719318389893},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5550845861434937},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.49924659729003906},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4864811599254608},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44102802872657776},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4120541214942932},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.3187938928604126},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2874438762664795},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2633466124534607}],"concepts":[{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.8443762063980103},{"id":"https://openalex.org/C2780016784","wikidata":"https://www.wikidata.org/wiki/Q2714507","display_name":"Orthant","level":2,"score":0.8224066495895386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7740719318389893},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5550845861434937},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.49924659729003906},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4864811599254608},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44102802872657776},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4120541214942932},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.3187938928604126},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2874438762664795},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2633466124534607},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760071","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","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":42,"referenced_works":["https://openalex.org/W597772687","https://openalex.org/W1489749403","https://openalex.org/W1500921805","https://openalex.org/W1526397541","https://openalex.org/W1552094772","https://openalex.org/W1600036911","https://openalex.org/W1835737365","https://openalex.org/W1855336155","https://openalex.org/W1971657878","https://openalex.org/W1974521415","https://openalex.org/W1986117210","https://openalex.org/W1995063858","https://openalex.org/W1995175370","https://openalex.org/W1997682553","https://openalex.org/W2004052534","https://openalex.org/W2014165482","https://openalex.org/W2030767880","https://openalex.org/W2068442219","https://openalex.org/W2077219618","https://openalex.org/W2080031709","https://openalex.org/W2084970142","https://openalex.org/W2103518030","https://openalex.org/W2104958104","https://openalex.org/W2118741873","https://openalex.org/W2126825123","https://openalex.org/W2129324915","https://openalex.org/W2142219971","https://openalex.org/W2156894914","https://openalex.org/W2159129605","https://openalex.org/W2161985387","https://openalex.org/W2164779921","https://openalex.org/W2165926172","https://openalex.org/W2225976077","https://openalex.org/W2492575127","https://openalex.org/W3170296681","https://openalex.org/W4229592976","https://openalex.org/W4235143360","https://openalex.org/W4238257903","https://openalex.org/W4295016751","https://openalex.org/W4379539523","https://openalex.org/W6630034875","https://openalex.org/W6658541901"],"related_works":["https://openalex.org/W772650738","https://openalex.org/W2044221060","https://openalex.org/W2112958926","https://openalex.org/W2067698461","https://openalex.org/W3037833187","https://openalex.org/W4394660764","https://openalex.org/W4293414471","https://openalex.org/W2950768703","https://openalex.org/W3203676140","https://openalex.org/W2151337373"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,15,44,50,68,78,87,116],"continuous-time":[3],"bilinear":[4],"control":[5,45],"system":[6,16],"with":[7,119],"Metzler":[8],"matrices.":[9],"The":[10],"transition":[11,61],"matrix":[12,118],"of":[13,28,36,59,77,111,115],"such":[14],"is":[17,24,102],"entrywise":[18],"nonnegative,":[19],"and":[20,97,124],"the":[21,29,33,56,60,75,108,112,120,125],"positive":[22,37],"orthant":[23],"an":[25],"invariant":[26],"set":[27],"dynamics.":[30],"Motivated":[31],"by":[32],"stability":[34],"analysis":[35],"linear":[38],"switched":[39],"systems":[40],"(PLSSs),":[41],"we":[42,85],"define":[43],"as":[46],"optimal":[47],"if,":[48],"for":[49,72,92,94],"fixed":[51],"final":[52],"time,":[53],"it":[54],"maximizes":[55],"spectral":[57,113],"radius":[58,114],"matrix.":[62],"A":[63],"recent":[64],"paper":[65],"[1]":[66],"developed":[67],"first-order":[69],"necessary":[70,90],"condition":[71,91,123],"optimality":[73,93],"in":[74],"form":[76],"maximum":[79],"principle":[80],"(MP).":[81],"In":[82],"this":[83],"paper,":[84],"derive":[86],"stronger,":[88],"second-order":[89,109,127],"both":[95],"singular":[96],"bang-bang":[98],"controls.":[99],"Our":[100],"approach":[101],"based":[103],"on":[104,107],"combining":[105],"results":[106],"derivative":[110],"nonnegative":[117],"generalized":[121],"Legendre-Clebsch":[122],"Agrachev-Gamkrelidze":[126],"variation.":[128]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
