{"id":"https://openalex.org/W2158962631","doi":"https://doi.org/10.1109/cca.2011.6044503","title":"Piecewise Quadratic stability analysis for local model networks","display_name":"Piecewise Quadratic stability analysis for local model networks","publication_year":2011,"publication_date":"2011-09-01","ids":{"openalex":"https://openalex.org/W2158962631","doi":"https://doi.org/10.1109/cca.2011.6044503","mag":"2158962631"},"language":"en","primary_location":{"id":"doi:10.1109/cca.2011.6044503","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2011.6044503","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Control Applications (CCA)","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/A5089089696","display_name":"Christian Mayr","orcid":"https://orcid.org/0000-0002-0779-366X"},"institutions":[{"id":"https://openalex.org/I4210105054","display_name":"Christian Doppler Laboratory for Thermoelectricity","ror":"https://ror.org/01cbw5x35","country_code":"AT","type":"facility","lineage":["https://openalex.org/I129774422","https://openalex.org/I145847075","https://openalex.org/I4210105054"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Christian H. Mayr","raw_affiliation_strings":["Christian Doppler Laboratory for Model Based Calibration Methodologies at the Institute of Mechanics and Mechatronics, Vienna University of Technology, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Christian Doppler Laboratory for Model Based Calibration Methodologies at the Institute of Mechanics and Mechatronics, Vienna University of Technology, Vienna, Austria","institution_ids":["https://openalex.org/I4210105054"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045685816","display_name":"Christoph Hametner","orcid":"https://orcid.org/0000-0003-2912-4771"},"institutions":[{"id":"https://openalex.org/I4210105054","display_name":"Christian Doppler Laboratory for Thermoelectricity","ror":"https://ror.org/01cbw5x35","country_code":"AT","type":"facility","lineage":["https://openalex.org/I129774422","https://openalex.org/I145847075","https://openalex.org/I4210105054"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Christoph Hametner","raw_affiliation_strings":["Christian Doppler Laboratory for Model Based Calibration Methodologies at the Institute of Mechanics and Mechatronics, Vienna University of Technology, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Christian Doppler Laboratory for Model Based Calibration Methodologies at the Institute of Mechanics and Mechatronics, Vienna University of Technology, Vienna, Austria","institution_ids":["https://openalex.org/I4210105054"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020112103","display_name":"Martin Kozek","orcid":"https://orcid.org/0000-0003-0402-3309"},"institutions":[{"id":"https://openalex.org/I4210105054","display_name":"Christian Doppler Laboratory for Thermoelectricity","ror":"https://ror.org/01cbw5x35","country_code":"AT","type":"facility","lineage":["https://openalex.org/I129774422","https://openalex.org/I145847075","https://openalex.org/I4210105054"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Martin Kozek","raw_affiliation_strings":["Christian Doppler Laboratory for Model Based Calibration Methodologies at the Institute of Mechanics and Mechatronics, Vienna University of Technology, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Christian Doppler Laboratory for Model Based Calibration Methodologies at the Institute of Mechanics and Mechatronics, Vienna University of Technology, Vienna, Austria","institution_ids":["https://openalex.org/I4210105054"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108512347","display_name":"Stefan Jakubek","orcid":null},"institutions":[{"id":"https://openalex.org/I4210105054","display_name":"Christian Doppler Laboratory for Thermoelectricity","ror":"https://ror.org/01cbw5x35","country_code":"AT","type":"facility","lineage":["https://openalex.org/I129774422","https://openalex.org/I145847075","https://openalex.org/I4210105054"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Stefan Jakubek","raw_affiliation_strings":["Christian Doppler Laboratory for Model Based Calibration Methodologies at the Institute of Mechanics and Mechatronics, Vienna University of Technology, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Christian Doppler Laboratory for Model Based Calibration Methodologies at the Institute of Mechanics and Mechatronics, Vienna University of Technology, Vienna, Austria","institution_ids":["https://openalex.org/I4210105054"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5089089696"],"corresponding_institution_ids":["https://openalex.org/I4210105054"],"apc_list":null,"apc_paid":null,"fwci":3.2626,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.92805923,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"36","issue":null,"first_page":"1418","last_page":"1424"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9991000294685364,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9991000294685364,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9965999722480774,"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":0.9962000250816345,"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/piecewise","display_name":"Piecewise","score":0.7675666809082031},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6280195713043213},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6181350350379944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5975553393363953},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5797231793403625},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5591715574264526},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.5334254503250122},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5332823395729065},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.4508235454559326},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4182729125022888},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35897696018218994},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3536415994167328},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34111958742141724},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.25680413842201233},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06483650207519531},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06416043639183044}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7675666809082031},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6280195713043213},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6181350350379944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5975553393363953},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5797231793403625},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5591715574264526},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5334254503250122},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5332823395729065},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.4508235454559326},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4182729125022888},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35897696018218994},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3536415994167328},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34111958742141724},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.25680413842201233},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06483650207519531},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06416043639183044},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cca.2011.6044503","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2011.6044503","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Control Applications (CCA)","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":34,"referenced_works":["https://openalex.org/W1490488263","https://openalex.org/W1529609107","https://openalex.org/W1530730921","https://openalex.org/W1538702852","https://openalex.org/W1603277681","https://openalex.org/W1972913593","https://openalex.org/W1989555277","https://openalex.org/W2001579955","https://openalex.org/W2036576012","https://openalex.org/W2037950640","https://openalex.org/W2043588753","https://openalex.org/W2066849992","https://openalex.org/W2078771578","https://openalex.org/W2103050055","https://openalex.org/W2119016475","https://openalex.org/W2129492921","https://openalex.org/W2139133559","https://openalex.org/W2141065314","https://openalex.org/W2148885430","https://openalex.org/W2154829377","https://openalex.org/W2157959176","https://openalex.org/W2163300739","https://openalex.org/W2166719817","https://openalex.org/W2270966878","https://openalex.org/W2271358270","https://openalex.org/W2728962839","https://openalex.org/W2797638056","https://openalex.org/W4302078450","https://openalex.org/W6636202188","https://openalex.org/W6661325192","https://openalex.org/W6680674659","https://openalex.org/W6684156149","https://openalex.org/W6694227642","https://openalex.org/W6750133219"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W2030955003","https://openalex.org/W2374426356","https://openalex.org/W2059628530","https://openalex.org/W2164487476","https://openalex.org/W3194517843","https://openalex.org/W1977987201","https://openalex.org/W2106169668","https://openalex.org/W2534107666"],"abstract_inverted_index":{"This":[0,108],"paper":[1,109],"deals":[2],"with":[3,161],"the":[4,39,52,64,68,73,83,86,102,117,121,125,141,150,162],"problem":[5],"of":[6,9,67,72,85,88,104,124,149],"stability":[7,24,138,169],"analysis":[8],"dynamic":[10],"local":[11,58,69,90,126],"model":[12],"networks.":[13],"Established":[14],"methods":[15],"in":[16,159],"this":[17,93],"context":[18],"are":[19,27,61],"mainly":[20],"based":[21,131],"on":[22,132],"Lyapunov":[23,44,165],"theory":[25],"and":[26,111],"targeted":[28],"to":[29,98,101,115,135],"be":[30],"as":[31,34,167],"little":[32],"conservative":[33],"possible.":[35],"In":[36,92],"previous":[37],"works":[38],"so":[40],"called":[41],"Piecewise":[42,163],"Quadratic":[43,164],"approach":[45,166],"was":[46],"developed.":[47],"For":[48],"discrete":[49],"time":[50],"systems":[51],"state":[53],"space":[54],"is":[55,96,130,143,153],"partitioned":[56],"into":[57],"subspaces,":[59],"which":[60,81],"defined":[62],"by":[63,155],"validity":[65,75],"functions":[66],"models.":[70,91,127],"Because":[71],"overlapping":[74],"functions,":[76],"so-called":[77],"uncertainty":[78,106,122],"terms":[79,123],"exist":[80],"describe":[82],"influence":[84],"dynamics":[87],"other":[89],"respect,":[94],"it":[95],"necessary":[97],"pay":[99],"attention":[100],"determination":[103],"these":[105],"terms.":[107],"presents":[110],"discusses":[112],"a":[113,137,156,168],"method":[114,129,152],"determine":[116],"upper":[118],"bounds":[119],"for":[120],"The":[128,147],"quadratic":[133],"optimization":[134],"achieve":[136],"criterion":[139],"where":[140],"conservatism":[142],"not":[144],"additionally":[145],"increased.":[146],"effectiveness":[148],"proposed":[151],"shown":[154],"simulation":[157],"example":[158],"connection":[160],"criterion.":[170]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
