{"id":"https://openalex.org/W2841381283","doi":"https://doi.org/10.1109/aqtr.2018.8402745","title":"Diagonally weighted H\u00f6lder norms as Lyapunov functions for arbitrary switching linear systems \u2014 Discrete-time case","display_name":"Diagonally weighted H\u00f6lder norms as Lyapunov functions for arbitrary switching linear systems \u2014 Discrete-time case","publication_year":2018,"publication_date":"2018-05-01","ids":{"openalex":"https://openalex.org/W2841381283","doi":"https://doi.org/10.1109/aqtr.2018.8402745","mag":"2841381283"},"language":"en","primary_location":{"id":"doi:10.1109/aqtr.2018.8402745","is_oa":false,"landing_page_url":"https://doi.org/10.1109/aqtr.2018.8402745","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Automation, Quality and Testing, Robotics (AQTR)","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/A5034190618","display_name":"Octavian P\u0103str\u0103vanu","orcid":"https://orcid.org/0000-0001-7607-8646"},"institutions":[{"id":"https://openalex.org/I4210108695","display_name":"Gheorghe Asachi Technical University of Ia\u0219i","ror":"https://ror.org/014zxnz40","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210108695"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Octavian Pastravanu","raw_affiliation_strings":["Department of Automatic Control and Applied Informatics, \u201cGheorghe Asachi\u201d Technical University of Iasi, Iasi, Romania","Department of Automatic Control and Applied Informatics, \"Gheorghe Asachi\" Technical University of Iasi, Iasi, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Applied Informatics, \u201cGheorghe Asachi\u201d Technical University of Iasi, Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]},{"raw_affiliation_string":"Department of Automatic Control and Applied Informatics, \"Gheorghe Asachi\" Technical University of Iasi, Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047111551","display_name":"Mihaela-Hanako Matcovschi","orcid":"https://orcid.org/0000-0001-6141-2031"},"institutions":[{"id":"https://openalex.org/I4210108695","display_name":"Gheorghe Asachi Technical University of Ia\u0219i","ror":"https://ror.org/014zxnz40","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210108695"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Mihaela-Hanako Matcovschi","raw_affiliation_strings":["Department of Automatic Control and Applied Informatics, \u201cGheorghe Asachi\u201d Technical University of Iasi, Iasi, Romania","Department of Automatic Control and Applied Informatics, \"Gheorghe Asachi\" Technical University of Iasi, Iasi, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Applied Informatics, \u201cGheorghe Asachi\u201d Technical University of Iasi, Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]},{"raw_affiliation_string":"Department of Automatic Control and Applied Informatics, \"Gheorghe Asachi\" Technical University of Iasi, Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1873,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49204262,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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":0.9998000264167786,"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/T10046","display_name":"Stability and Control of Uncertain 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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9975000023841858,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.992900013923645,"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/lyapunov-function","display_name":"Lyapunov function","score":0.7564485669136047},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6647288203239441},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5208907127380371},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5055279731750488},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5045222043991089},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4590079188346863},{"id":"https://openalex.org/keywords/diagonally-dominant-matrix","display_name":"Diagonally dominant matrix","score":0.4550604820251465},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44386619329452515},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.44271156191825867},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.4311666488647461},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4302520751953125},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.41826966404914856},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4107835292816162},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3478611409664154},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32530492544174194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27378860116004944},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.23721855878829956},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10123100876808167},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06979462504386902}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7564485669136047},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6647288203239441},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5208907127380371},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5055279731750488},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5045222043991089},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4590079188346863},{"id":"https://openalex.org/C84507854","wikidata":"https://www.wikidata.org/wiki/Q952222","display_name":"Diagonally dominant matrix","level":3,"score":0.4550604820251465},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44386619329452515},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.44271156191825867},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4311666488647461},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4302520751953125},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.41826966404914856},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4107835292816162},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3478611409664154},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32530492544174194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27378860116004944},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.23721855878829956},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10123100876808167},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06979462504386902},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.0},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/aqtr.2018.8402745","is_oa":false,"landing_page_url":"https://doi.org/10.1109/aqtr.2018.8402745","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Automation, Quality and Testing, Robotics (AQTR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W75345007","https://openalex.org/W193139775","https://openalex.org/W597772687","https://openalex.org/W1500921805","https://openalex.org/W1544618343","https://openalex.org/W1552094772","https://openalex.org/W1880805667","https://openalex.org/W1971934985","https://openalex.org/W1972420993","https://openalex.org/W1991153786","https://openalex.org/W1996864164","https://openalex.org/W2017465297","https://openalex.org/W2038874684","https://openalex.org/W2057445887","https://openalex.org/W2062974796","https://openalex.org/W2081519448","https://openalex.org/W2225976077","https://openalex.org/W4231039456","https://openalex.org/W4232529141","https://openalex.org/W4295016751","https://openalex.org/W6632654447","https://openalex.org/W6689155269"],"related_works":["https://openalex.org/W2284157877","https://openalex.org/W1789972284","https://openalex.org/W1986563546","https://openalex.org/W2136336099","https://openalex.org/W2550293690","https://openalex.org/W2107786365","https://openalex.org/W3039939495","https://openalex.org/W2314543451","https://openalex.org/W4229585693","https://openalex.org/W1586792688"],"abstract_inverted_index":{"The":[0,62,69,100,133],"paper":[1],"focuses":[2],"on":[3,85,147],"the":[4,29,41,77,86,113,126,129,148,153],"class":[5,79],"of":[6,32,44,76,80,88,115,121,128,157],"Lyapunov":[7,34,81],"functions":[8],"defined":[9],"by":[10,28,40],"diagonally":[11],"weighted":[12],"Holder":[13],"vector":[14],"p-norms":[15,90],"for":[16,91],"arbitrary":[17],"switching":[18],"linear":[19],"systems":[20],"with":[21,94,118],"discrete-time":[22],"dynamics.":[23],"Our":[24],"work":[25],"is":[26,64],"motivated":[27],"simple":[30],"forms":[31],"such":[33],"function":[35],"candidates,":[36],"as":[37,39,52],"well":[38],"mathematical":[42],"perspective":[43],"getting":[45],"a":[46,73,119,141],"generalized":[47],"result":[48],"able":[49],"to":[50,106,140],"incorporate,":[51],"particular":[53],"cases,":[54],"several":[55],"previous":[56],"results,":[57],"individually":[58],"reported":[59],"in":[60,66],"literature.":[61],"presentation":[63],"organized":[65],"three":[67],"parts.":[68],"first":[70],"part":[71,102,135],"provides":[72,103],"global":[74],"characterization":[75,138],"considered":[78],"functions,":[82],"which":[83,111],"relies":[84],"properties":[87],"induced":[89],"finite-dimensional":[92],"operators,":[93],"1":[95],"\u2264":[96,98],"p":[97,107],"\u221e.":[99],"second":[101],"characterizations":[104],"corresponding":[105],"\u03f5":[108],"{1,2,":[109],"\u221e},":[110],"exploit":[112],"theory":[114],"representatives":[116],"associated":[117],"family":[120],"nonnegative":[122],"matrices":[123,127],"built":[124],"from":[125],"constituent":[130],"switched":[131],"subsystems.":[132],"third":[134],"applies":[136],"these":[137],"procedures":[139],"numerical":[142],"case":[143],"study,":[144],"and":[145],"comments":[146],"similarities":[149],"/":[150],"differences":[151],"between":[152],"two":[154],"distinct":[155],"types":[156],"approaches.":[158]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
