{"id":"https://openalex.org/W1892521820","doi":"https://doi.org/10.1109/cca.2015.7320870","title":"Investigation of random switching driven by a poisson point process","display_name":"Investigation of random switching driven by a poisson point process","publication_year":2015,"publication_date":"2015-09-01","ids":{"openalex":"https://openalex.org/W1892521820","doi":"https://doi.org/10.1109/cca.2015.7320870","mag":"1892521820"},"language":"en","primary_location":{"id":"doi:10.1109/cca.2015.7320870","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2015.7320870","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 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/A5087892124","display_name":"Maria Simonsen","orcid":"https://orcid.org/0000-0003-3460-9132"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Maria Simonsen","raw_affiliation_strings":["Department of Electronic Systems, Aalborg University, Aalborg \u00d8st, Denmark","Department of Electronic Systems, Automation and Control, Aalborg University, Fredrik Bajers Vej 7C, 9220 Aalborg \u00d8st, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Systems, Aalborg University, Aalborg \u00d8st, Denmark","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"Department of Electronic Systems, Automation and Control, Aalborg University, Fredrik Bajers Vej 7C, 9220 Aalborg \u00d8st, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077619715","display_name":"Henrik Schi\u00f8ler","orcid":"https://orcid.org/0000-0002-7288-7638"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Henrik Schioler","raw_affiliation_strings":["Department of Electronic Systems, Aalborg University, Aalborg \u00d8st, Denmark","Department of Electronic Systems, Automation and Control, Aalborg University, Fredrik Bajers Vej 7C, 9220 Aalborg \u00d8st, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Systems, Aalborg University, Aalborg \u00d8st, Denmark","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"Department of Electronic Systems, Automation and Control, Aalborg University, Fredrik Bajers Vej 7C, 9220 Aalborg \u00d8st, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057662343","display_name":"John Leth","orcid":"https://orcid.org/0000-0001-6043-1687"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"John Leth","raw_affiliation_strings":["Department of Electronic Systems, Aalborg University, Aalborg \u00d8st, Denmark","Department of Electronic Systems, Automation and Control, Aalborg University, Fredrik Bajers Vej 7C, 9220 Aalborg \u00d8st, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Systems, Aalborg University, Aalborg \u00d8st, Denmark","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"Department of Electronic Systems, Automation and Control, Aalborg University, Fredrik Bajers Vej 7C, 9220 Aalborg \u00d8st, Denmark","institution_ids":["https://openalex.org/I891191580"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087892124"],"corresponding_institution_ids":["https://openalex.org/I891191580"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06114222,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"1799","last_page":"1804"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9769999980926514,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.7591265439987183},{"id":"https://openalex.org/keywords/poisson-point-process","display_name":"Poisson point process","score":0.6962187886238098},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.6914096474647522},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.6441004872322083},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.6381361484527588},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.6260221600532532},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5680416822433472},{"id":"https://openalex.org/keywords/marginal-distribution","display_name":"Marginal distribution","score":0.5406050682067871},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.537519097328186},{"id":"https://openalex.org/keywords/cox-process","display_name":"Cox process","score":0.5217331647872925},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.492031067609787},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.4826134145259857},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47029873728752136},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.449776828289032},{"id":"https://openalex.org/keywords/poisson-process","display_name":"Poisson process","score":0.44319066405296326},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.43380579352378845},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4223734140396118},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4122553765773773},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.3050113916397095},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2130114734172821},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16691118478775024},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15562844276428223},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09800341725349426}],"concepts":[{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.7591265439987183},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.6962187886238098},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6914096474647522},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.6441004872322083},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.6381361484527588},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.6260221600532532},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5680416822433472},{"id":"https://openalex.org/C165216359","wikidata":"https://www.wikidata.org/wiki/Q670653","display_name":"Marginal distribution","level":3,"score":0.5406050682067871},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.537519097328186},{"id":"https://openalex.org/C155051063","wikidata":"https://www.wikidata.org/wiki/Q1290919","display_name":"Cox process","level":4,"score":0.5217331647872925},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.492031067609787},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.4826134145259857},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47029873728752136},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.449776828289032},{"id":"https://openalex.org/C166144826","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson process","level":3,"score":0.44319066405296326},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.43380579352378845},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4223734140396118},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4122553765773773},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3050113916397095},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2130114734172821},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16691118478775024},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15562844276428223},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09800341725349426},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cca.2015.7320870","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2015.7320870","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Conference on Control Applications (CCA)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:publications/286cb1f6-9b0e-4182-802f-944d431c38a7","is_oa":false,"landing_page_url":"https://vbn.aau.dk/da/publications/286cb1f6-9b0e-4182-802f-944d431c38a7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Simonsen , M , Schi\u00f8ler , H & Leth , J-J 2015 , Investigation of Random Switching Driven by a Poisson Point Process . in IEEE Conference on Control Applications (CCA), 2015 . IEEE Press , I E E E International Conference on Control Applications. Proceedings , pp. 1799 - 1804 , 2015 IEEE Multi-Conference on Systems and Control , Sydney , Australia , 21/09/2015 . https://doi.org/10.1109/CCA.2015.7320870","raw_type":"contributionToPeriodical"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1537842733","https://openalex.org/W1552094772","https://openalex.org/W1592648094","https://openalex.org/W1989662873","https://openalex.org/W2007700189","https://openalex.org/W2021534631","https://openalex.org/W2043496299","https://openalex.org/W2045294015","https://openalex.org/W2051526898","https://openalex.org/W2079664244","https://openalex.org/W2141803002","https://openalex.org/W2171307019","https://openalex.org/W4293078920","https://openalex.org/W4405125609"],"related_works":["https://openalex.org/W2225046392","https://openalex.org/W2834438054","https://openalex.org/W4289762942","https://openalex.org/W4235306759","https://openalex.org/W1988309847","https://openalex.org/W2053199520","https://openalex.org/W109971678","https://openalex.org/W3105735763","https://openalex.org/W298290818","https://openalex.org/W2905816586"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,12,25,38,41,52,56],"switching":[4,13],"mechanism":[5],"of":[6,27,40],"a":[7,18,28,33],"two-dimensional":[8],"switched":[9],"system,":[10],"when":[11],"events":[14],"are":[15],"generated":[16],"by":[17],"Poisson":[19],"point":[20],"process.":[21],"A":[22],"model,":[23],"in":[24],"shape":[26],"stochastic":[29],"process,":[30],"for":[31,51],"such":[32],"system":[34],"is":[35,44,60],"derived":[36],"and":[37],"distribution":[39,59],"trajectory's":[42],"position":[43],"developed":[45],"together":[46],"with":[47],"marginal":[48],"density":[49],"functions":[50],"coordinate":[53],"functions.":[54],"Furthermore,":[55],"joint":[57],"probability":[58],"given":[61],"explicitly.":[62]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}