{"id":"https://openalex.org/W4404623346","doi":"https://doi.org/10.5220/0012927500003822","title":"Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems","display_name":"Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4404623346","doi":"https://doi.org/10.5220/0012927500003822"},"language":"en","primary_location":{"id":"doi:10.5220/0012927500003822","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0012927500003822","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.5220/0012927500003822","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064014962","display_name":"Stefania Andersen","orcid":"https://orcid.org/0000-0001-6747-775X"},"institutions":[{"id":"https://openalex.org/I165368041","display_name":"University of Iceland","ror":"https://ror.org/01db6h964","country_code":"IS","type":"education","lineage":["https://openalex.org/I165368041"]}],"countries":["IS"],"is_corresponding":true,"raw_author_name":"Stefania Andersen","raw_affiliation_strings":["University of Iceland, Faculty of Physical Sciences, Dunhagi 5, 107 Reykjavik, Iceland","University of Iceland, Faculty of Physical Sciences, Dunhagi 5, 107 Reykjavik, Iceland, --- Select a Country ---"],"affiliations":[{"raw_affiliation_string":"University of Iceland, Faculty of Physical Sciences, Dunhagi 5, 107 Reykjavik, Iceland","institution_ids":["https://openalex.org/I165368041"]},{"raw_affiliation_string":"University of Iceland, Faculty of Physical Sciences, Dunhagi 5, 107 Reykjavik, Iceland, --- Select a Country ---","institution_ids":["https://openalex.org/I165368041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045006396","display_name":"Sigur\u00f0ur Hafstein","orcid":"https://orcid.org/0000-0003-0073-2765"},"institutions":[{"id":"https://openalex.org/I165368041","display_name":"University of Iceland","ror":"https://ror.org/01db6h964","country_code":"IS","type":"education","lineage":["https://openalex.org/I165368041"]}],"countries":["IS"],"is_corresponding":false,"raw_author_name":"Sigurdur Hafstein","raw_affiliation_strings":["University of Iceland, Faculty of Physical Sciences, Dunhagi 5, 107 Reykjavik, Iceland","University of Iceland, Faculty of Physical Sciences, Dunhagi 5, 107 Reykjavik, Iceland, --- Select a Country ---"],"affiliations":[{"raw_affiliation_string":"University of Iceland, Faculty of Physical Sciences, Dunhagi 5, 107 Reykjavik, Iceland","institution_ids":["https://openalex.org/I165368041"]},{"raw_affiliation_string":"University of Iceland, Faculty of Physical Sciences, Dunhagi 5, 107 Reykjavik, Iceland, --- Select a Country ---","institution_ids":["https://openalex.org/I165368041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083548540","display_name":"Juan A. Mart\u00ednez-Rom\u00e1n","orcid":"https://orcid.org/0000-0001-5013-6748"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Juan Roman","raw_affiliation_strings":["Eindhoven University of Technology, Department of Mechanical Engineering, Groene Loper 3, 5612 AE Eindhoven, Netherlands","Eindhoven University of Technology, Department of Mechanical Engineering, Groene Loper 3, 5612 AE Eindhoven, Netherlands, --- Select a Country ---"],"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology, Department of Mechanical Engineering, Groene Loper 3, 5612 AE Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Eindhoven University of Technology, Department of Mechanical Engineering, Groene Loper 3, 5612 AE Eindhoven, Netherlands, --- Select a Country ---","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055717436","display_name":"Sebastiaan van den Eijnden","orcid":"https://orcid.org/0000-0003-1273-109X"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Sebastiaan van den Eijnden","raw_affiliation_strings":["Eindhoven University of Technology, Department of Mechanical Engineering, Groene Loper 3, 5612 AE Eindhoven, Netherlands","Eindhoven University of Technology, Department of Mechanical Engineering, Groene Loper 3, 5612 AE Eindhoven, Netherlands, --- Select a Country ---"],"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology, Department of Mechanical Engineering, Groene Loper 3, 5612 AE Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Eindhoven University of Technology, Department of Mechanical Engineering, Groene Loper 3, 5612 AE Eindhoven, Netherlands, --- Select a Country ---","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064014962"],"corresponding_institution_ids":["https://openalex.org/I165368041"],"apc_list":null,"apc_paid":null,"fwci":0.3388,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61558162,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"277","last_page":"284"},"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":0.9934999942779541,"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":0.9934999942779541,"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":0.9896000027656555,"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/T12810","display_name":"Real-time simulation and control systems","score":0.9747999906539917,"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":0.6699017286300659},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6378008723258972},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.631659746170044},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5690319538116455},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5529332160949707},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5222702622413635},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4950808584690094},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4842838644981384},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.4772867262363434},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.43593811988830566},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.43057286739349365},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39128804206848145},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38246282935142517},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3797473907470703},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17613384127616882},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16714322566986084},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1576932668685913},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07486334443092346},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.054234713315963745},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05019447207450867}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6699017286300659},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6378008723258972},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.631659746170044},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5690319538116455},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5529332160949707},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5222702622413635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4950808584690094},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4842838644981384},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.4772867262363434},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43593811988830566},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.43057286739349365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39128804206848145},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38246282935142517},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3797473907470703},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17613384127616882},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16714322566986084},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1576932668685913},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07486334443092346},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.054234713315963745},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05019447207450867},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5220/0012927500003822","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0012927500003822","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/0f204af9-7c9e-4ccf-8888-64f319a6fd54","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/0f204af9-7c9e-4ccf-8888-64f319a6fd54","pdf_url":"https://pure.tue.nl/ws/files/350447098/129275.pdf","source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Andersen, S, Hafstein, S, Palacios Roman, J J & van den Eijnden, S J A M 2024, Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems. in G Gina, R-E Precup & D Filev (eds), Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics. vol. 1, SciTePress Digital Library, pp. 277-284, 21st International Conference of Informatics in Control, Automation and Robotics, Porto, Portugal, 18/11/24. https://doi.org/10.5220/0012927500003822","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.5220/0012927500003822","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0012927500003822","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W2534107666","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W3194517843","https://openalex.org/W2054171707","https://openalex.org/W2733990813"],"abstract_inverted_index":{"We":[0,20],"describe":[1],"a":[2],"linear":[3,18],"programming":[4],"(LP)":[5],"problem":[6],"to":[7,39],"parameterize":[8],"continuous":[9],"and":[10,24,31],"piecewise":[11],"quadratic":[12],"(CPQ)":[13],"Lyapunov":[14],"functions":[15],"for":[16,26],"switched":[17],"systems.":[19],"discuss":[21],"some":[22],"algorithms":[23],"data-structures":[25],"its":[27],"implementation":[28,38,42],"in":[29,43],"C++":[30],"compare":[32],"the":[33],"computational":[34],"efficiency":[35],"of":[36],"our":[37],"an":[40],"analogous":[41],"MATLAB.":[44]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-17T17:19:04.345684","created_date":"2025-10-10T00:00:00"}