{"id":"https://openalex.org/W1710137627","doi":"https://doi.org/10.23919/ecc.2013.6669766","title":"Characterisations of the \u201cmixed\u201d small gain and passivity property for linear systems in discrete time","display_name":"Characterisations of the \u201cmixed\u201d small gain and passivity property for linear systems in discrete time","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1710137627","doi":"https://doi.org/10.23919/ecc.2013.6669766","mag":"1710137627"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669766","doi":"https://doi.org/10.23919/ecc.2013.6669766","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669766","pdf_url":null,"source":{"id":"https://openalex.org/S4363608272","display_name":"European Control Conference (ECC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5064783367","display_name":"Wynita M. Griggs","orcid":"https://orcid.org/0000-0003-1842-2394","observed_orcids":["https://orcid.org/0000-0003-1842-2394"]},"institutions":[{"id":"https://openalex.org/I157286207","display_name":"National University of Ireland, Maynooth","ror":"https://ror.org/048nfjm95","country_code":"IE","type":"education","lineage":["https://openalex.org/I157286207"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Wynita M. Griggs","raw_affiliation_strings":["Hamilton Institute, National University of Ireland Maynooth, Maynooth, Co. Kildare, Ireland","Hamilton Institute, National University of Ireland, Maynooth, Maynooth, Ireland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hamilton Institute, National University of Ireland Maynooth, Maynooth, Co. Kildare, Ireland","institution_ids":["https://openalex.org/I157286207"]},{"raw_affiliation_string":"Hamilton Institute, National University of Ireland, Maynooth, Maynooth, Ireland#TAB#","institution_ids":["https://openalex.org/I157286207"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058500031","display_name":"Rodrigo Ord\u00f3\u00f1ez-Hurtado","orcid":"https://orcid.org/0000-0002-9053-8482","observed_orcids":["https://orcid.org/0000-0002-9053-8482"]},"institutions":[{"id":"https://openalex.org/I157286207","display_name":"National University of Ireland, Maynooth","ror":"https://ror.org/048nfjm95","country_code":"IE","type":"education","lineage":["https://openalex.org/I157286207"]},{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL","IE"],"is_corresponding":false,"raw_author_name":"Rodrigo H. Ordonez-Hurtado","raw_affiliation_strings":["Department of Electrical Engineering, University of Chile, Chile, Santiago","Hamilton Institute, National University of Ireland, Maynooth, Maynooth, Ireland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Chile, Chile, Santiago","institution_ids":["https://openalex.org/I69737025"]},{"raw_affiliation_string":"Hamilton Institute, National University of Ireland, Maynooth, Maynooth, Ireland#TAB#","institution_ids":["https://openalex.org/I157286207"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109651925","display_name":"S. Shravan K. Sajja","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Shravan K. Sajja","raw_affiliation_strings":["Department of Electrical Engineering, University of Notre Dame, Indiana, USA","[Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Notre Dame, Indiana, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA]","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052838619","display_name":"Alexander Lanzon","orcid":"https://orcid.org/0000-0003-3424-8808","observed_orcids":["https://orcid.org/0000-0003-3424-8808"]},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alexander Lanzon","raw_affiliation_strings":["Control Systems Centre, University of Manchester, Sackville, United Kingdom","Control Systems Centre, University of Manchester , Manchester, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control Systems Centre, University of Manchester, Sackville, United Kingdom","institution_ids":["https://openalex.org/I28407311"]},{"raw_affiliation_string":"Control Systems Centre, University of Manchester , Manchester, UK","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036373073","display_name":"Robert Noel Shorten","orcid":"https://orcid.org/0000-0002-9239-2499","observed_orcids":["https://orcid.org/0000-0002-9239-2499"]},"institutions":[{"id":"https://openalex.org/I157286207","display_name":"National University of Ireland, Maynooth","ror":"https://ror.org/048nfjm95","country_code":"IE","type":"education","lineage":["https://openalex.org/I157286207"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Robert N. Shorten","raw_affiliation_strings":["Hamilton Institute, National University of Ireland Maynooth, Maynooth, Co. Kildare, Ireland","Hamilton Institute, National University of Ireland, Maynooth, Maynooth, Ireland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hamilton Institute, National University of Ireland Maynooth, Maynooth, Co. Kildare, Ireland","institution_ids":["https://openalex.org/I157286207"]},{"raw_affiliation_string":"Hamilton Institute, National University of Ireland, Maynooth, Maynooth, Ireland#TAB#","institution_ids":["https://openalex.org/I157286207"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.42074042,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"2597","last_page":"2602"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.6259999871253967,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.6259999871253967,"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":0.17649999260902405,"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/T11081","display_name":"Advanced Control Systems Design","score":0.16099999845027924,"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/discrete-time-linear-systems","display_name":"discrete-time linear systems","score":0.9300000071525574},{"id":"https://openalex.org/keywords/feedback-stability","display_name":"feedback stability","score":0.9869999885559082},{"id":"https://openalex.org/keywords/passivity","display_name":"passivity","score":0.6919999718666077}],"concepts":[{"id":"https://openalex.org/C2778809601","wikidata":"https://www.wikidata.org/wiki/Q1045736","display_name":"Passivity","level":2,"score":0.7943284511566162},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.774463415145874},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6824527978897095},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6761335134506226},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5861499905586243},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.5831379890441895},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5724741816520691},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.569020688533783},{"id":"https://openalex.org/C195762429","wikidata":"https://www.wikidata.org/wiki/Q1756793","display_name":"Nyquist plot","level":5,"score":0.5537827014923096},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5481855273246765},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5335650444030762},{"id":"https://openalex.org/C7630364","wikidata":"https://www.wikidata.org/wiki/Q1756793","display_name":"Nyquist stability criterion","level":3,"score":0.48404234647750854},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44322454929351807},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.43419748544692993},{"id":"https://openalex.org/C27385263","wikidata":"https://www.wikidata.org/wiki/Q4165677","display_name":"Small-gain theorem","level":3,"score":0.41683119535446167},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3207627236843109},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29547029733657837},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1412324607372284},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12234243750572205},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10723289847373962},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.100200355052948},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.0},{"id":"https://openalex.org/C7040849","wikidata":"https://www.wikidata.org/wiki/Q899580","display_name":"Dielectric spectroscopy","level":4,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C52859227","wikidata":"https://www.wikidata.org/wiki/Q7877","display_name":"Electrochemistry","level":3,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C17525397","wikidata":"https://www.wikidata.org/wiki/Q176140","display_name":"Electrode","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2013.6669766","doi":"https://doi.org/10.23919/ecc.2013.6669766","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669766","pdf_url":null,"source":{"id":"https://openalex.org/S4363608272","display_name":"European Control Conference (ECC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5813813675","display_name":"Advances in robust control methods and application to flying discs","funder_award_id":"EP/F06022X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W118183761","https://openalex.org/W643973177","https://openalex.org/W1487444668","https://openalex.org/W1539689348","https://openalex.org/W1551112541","https://openalex.org/W1581560749","https://openalex.org/W1868559974","https://openalex.org/W1967881621","https://openalex.org/W1970160230","https://openalex.org/W1975774376","https://openalex.org/W1995378421","https://openalex.org/W1998232729","https://openalex.org/W2006290674","https://openalex.org/W2009287270","https://openalex.org/W2026769037","https://openalex.org/W2040497062","https://openalex.org/W2047376695","https://openalex.org/W2051709990","https://openalex.org/W2053327966","https://openalex.org/W2069504263","https://openalex.org/W2072400962","https://openalex.org/W2082475830","https://openalex.org/W2100134099","https://openalex.org/W2111683789","https://openalex.org/W2112329999","https://openalex.org/W2125453397","https://openalex.org/W2127409557","https://openalex.org/W2132230101","https://openalex.org/W2137579783","https://openalex.org/W2150506037","https://openalex.org/W2154174243","https://openalex.org/W2154288482","https://openalex.org/W2158118170","https://openalex.org/W2160098876","https://openalex.org/W2163182622"],"related_works":["https://openalex.org/W2060768475","https://openalex.org/W1998232729","https://openalex.org/W2144383349","https://openalex.org/W2323973896","https://openalex.org/W2581705712","https://openalex.org/W6960274331","https://openalex.org/W2051709990","https://openalex.org/W1575858428","https://openalex.org/W4407949875","https://openalex.org/W1968234937"],"abstract_inverted_index":{"Characterisations":[0],"of":[1,27,59],"\u201cmixed\u201d":[2,28,60],"systems":[3,29],"are":[4,39],"presented":[5,44],"in":[6],"a":[7,11,51],"discrete-time":[8],"setting.":[9],"First,":[10],"feedback":[12],"stability":[13,19],"result":[14],"based":[15,30],"on":[16,31],"the":[17,46,57],"Nyquist":[18],"theorem":[20],"is":[21,35],"presented.":[22],"Second,":[23],"an":[24],"eigenvalue-based":[25],"characterisation":[26],"their":[32],"state-space":[33],"data":[34],"derived.":[36],"The":[37],"results":[38,43],"analogous":[40],"to":[41],"previous":[42],"for":[45,53],"continuous-time":[47],"case":[48],"and":[49],"provide":[50],"foundation":[52],"further":[54],"study":[55],"concerning":[56],"discretisation":[58],"systems.":[61]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}