{"id":"https://openalex.org/W2063436676","doi":"https://doi.org/10.1109/tac.2013.2287074","title":"On Passivity of a Class of Discrete-Time Switched Nonlinear Systems","display_name":"On Passivity of a Class of Discrete-Time Switched Nonlinear Systems","publication_year":2013,"publication_date":"2013-10-24","ids":{"openalex":"https://openalex.org/W2063436676","doi":"https://doi.org/10.1109/tac.2013.2287074","mag":"2063436676"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2287074","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2287074","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","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/A5100372089","display_name":"Yue Wang","orcid":"https://orcid.org/0000-0003-0146-7262"},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yue Wang","raw_affiliation_strings":["Mechanical Engineering Department, Clemson University, Clemson, SC, USA","Mech. Eng. Dept., Clemson Univ., Clemson, SC, USA"],"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, Clemson University, Clemson, SC, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Mech. Eng. Dept., Clemson Univ., Clemson, SC, USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024301984","display_name":"Vijay Gupta","orcid":"https://orcid.org/0000-0001-7060-3956"},"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":"Vijay Gupta","raw_affiliation_strings":["Electrical Engineering Department, University of Notre Dame, Notre Dame, IN, USA","Electr. Eng. Dept., Univ. of Notre Dame, Notre Dame, IN, USA"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"Electr. Eng. Dept., Univ. of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077171773","display_name":"Panos J. Antsaklis","orcid":"https://orcid.org/0000-0002-6836-5028"},"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":"Panos J. Antsaklis","raw_affiliation_strings":["Electrical Engineering Department, University of Notre Dame, Notre Dame, IN, USA","Electr. Eng. Dept., Univ. of Notre Dame, Notre Dame, IN, USA"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"Electr. Eng. Dept., Univ. of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100372089"],"corresponding_institution_ids":["https://openalex.org/I8078737"],"apc_list":null,"apc_paid":null,"fwci":8.0794,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.9735123,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"59","issue":"3","first_page":"692","last_page":"702"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9961000084877014,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.993399977684021,"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/passivity","display_name":"Passivity","score":0.9905828237533569},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8325885534286499},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6460232734680176},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5910491943359375},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4640309810638428},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.438247948884964},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.436134397983551},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42222753167152405},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.41055089235305786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36332938075065613},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3329787850379944},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13407838344573975},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11807271838188171},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08594265580177307}],"concepts":[{"id":"https://openalex.org/C2778809601","wikidata":"https://www.wikidata.org/wiki/Q1045736","display_name":"Passivity","level":2,"score":0.9905828237533569},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8325885534286499},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6460232734680176},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5910491943359375},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4640309810638428},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.438247948884964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.436134397983551},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42222753167152405},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.41055089235305786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36332938075065613},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3329787850379944},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13407838344573975},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11807271838188171},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08594265580177307},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2013.2287074","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2287074","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8700000047683716,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W361293693","https://openalex.org/W1582733901","https://openalex.org/W1977819874","https://openalex.org/W2009668633","https://openalex.org/W2020007492","https://openalex.org/W2020846288","https://openalex.org/W2059786197","https://openalex.org/W2076467525","https://openalex.org/W2076956867","https://openalex.org/W2079576228","https://openalex.org/W2085176909","https://openalex.org/W2095477585","https://openalex.org/W2095830039","https://openalex.org/W2102899117","https://openalex.org/W2104068661","https://openalex.org/W2104840798","https://openalex.org/W2108174964","https://openalex.org/W2112211334","https://openalex.org/W2124214538","https://openalex.org/W2139528269","https://openalex.org/W2140743594","https://openalex.org/W2140973673","https://openalex.org/W2154738486","https://openalex.org/W2154987742","https://openalex.org/W2171797266","https://openalex.org/W2258863680","https://openalex.org/W2596873516","https://openalex.org/W4387642210","https://openalex.org/W6655160978","https://openalex.org/W6665396827","https://openalex.org/W6675318626"],"related_works":["https://openalex.org/W2351342890","https://openalex.org/W2115030441","https://openalex.org/W2121919740","https://openalex.org/W2161728539","https://openalex.org/W2133055245","https://openalex.org/W1982406656","https://openalex.org/W2614149677","https://openalex.org/W2787290148","https://openalex.org/W2069603876","https://openalex.org/W1970194488"],"abstract_inverted_index":{"This":[0],"paper":[1],"analyzes":[2],"the":[3,21,30,40,44,67,80,100,121,149,182,197],"passivity":[4,7,69,81,178,184],"and":[5,14,103,111,136,158,200,203],"feedback":[6,108,133,190,205],"of":[8,82,106,151,176,207],"discrete-time-switched":[9],"nonlinear":[10,94,129],"systems":[11,85,95,211],"with":[12,55],"passive":[13,109,117,134,157,160,166,210],"nonpassive":[15,26,59,65],"modes":[16,112,161],"that":[17,126,172,186],"are":[18,97,142,212],"affine":[19,98],"in":[20,32,66,86,99],"control":[22,101,191],"input.":[23],"When":[24],"a":[25,52,76,87,127],"mode":[27,60],"is":[28,35,61,131,162],"active,":[29],"increase":[31],"storage":[33],"function":[34],"not":[36],"necessarily":[37],"bounded":[38],"by":[39],"energy":[41],"supplied":[42],"to":[43,63,78,164,195],"switched":[45,53,84,93,128,198],"system":[46,54,130],"at":[47,56],"every":[48],"time":[49,154],"step.":[50],"Therefore,":[51],"least":[57],"one":[58],"defined":[62],"be":[64,115,193],"classical":[68,177],"theory.":[70],"In":[71,120],"this":[72],"paper,":[73],"we":[74,124,170],"propose":[75],"framework":[77],"analyze":[79],"such":[83,209],"more":[88],"general":[89],"sense.":[90],"We":[91],"consider":[92],"which":[96,113],"input":[102],"may":[104],"consist":[105],"passive,":[107],"modes,":[110],"cannot":[114],"rendered":[116],"using":[118],"feedback.":[119],"proposed":[122,183],"framework,":[123],"prove":[125,171],"locally":[132,143],"if":[135,138],"only":[137],"its":[139],"zero":[140,167],"dynamics":[141],"passive.":[144,214],"A":[145],"lower":[146],"bound":[147],"on":[148],"ratio":[150],"total":[152],"activation":[153],"between":[155],"(feedback)":[156],"nonfeedback":[159],"obtained":[163],"guarantee":[165],"dynamics.":[168],"Finally,":[169],"two":[173,208],"important":[174],"properties":[175],"still":[179],"hold":[180],"for":[181],"definition,":[185],"is:":[187],"1)":[188],"output":[189],"can":[192],"used":[194],"stabilize":[196],"system,":[199],"2)":[201],"parallel":[202],"negative":[204],"interconnections":[206],"also":[213]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}