{"id":"https://openalex.org/W2760958540","doi":"https://doi.org/10.1109/tac.2017.2760515","title":"Bisimulation Equivalence of Discrete-Time Stochastic Linear Control Systems","display_name":"Bisimulation Equivalence of Discrete-Time Stochastic Linear Control Systems","publication_year":2017,"publication_date":"2017-10-09","ids":{"openalex":"https://openalex.org/W2760958540","doi":"https://doi.org/10.1109/tac.2017.2760515","mag":"2760958540"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2017.2760515","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2760515","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":true,"oa_status":"green","oa_url":"https://pure.rug.nl/ws/files/64488260/08062782.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084720300","display_name":"Giordano Pola","orcid":"https://orcid.org/0000-0002-2213-6051"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giordano Pola","raw_affiliation_strings":["Department of Information Engineering, Computer Science and Mathematics, University of L\u2019Aquila, Italy","Department of Information Engineering, Computer Science and Mathematics, University of L'Aquila, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Computer Science and Mathematics, University of L\u2019Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Department of Information Engineering, Computer Science and Mathematics, University of L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031215647","display_name":"Costanzo Manes","orcid":"https://orcid.org/0000-0002-0771-7413"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Costanzo Manes","raw_affiliation_strings":["Department of Information Engineering, Computer Science and Mathematics, University of L\u2019Aquila, Italy","Department of Information Engineering, Computer Science and Mathematics, University of L'Aquila, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Computer Science and Mathematics, University of L\u2019Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Department of Information Engineering, Computer Science and Mathematics, University of L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005018540","display_name":"Arjan van der Schaft","orcid":"https://orcid.org/0000-0002-2383-9234"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Arjan J. van der Schaft","raw_affiliation_strings":["Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, AK, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, AK, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061994256","display_name":"Maria Domenica Di Benedetto","orcid":"https://orcid.org/0000-0001-5703-7822"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Maria Domenica Di Benedetto","raw_affiliation_strings":["Department of Information Engineering, Computer Science and Mathematics, University of L\u2019Aquila, Italy","Department of Information Engineering, Computer Science and Mathematics, University of L'Aquila, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Computer Science and Mathematics, University of L\u2019Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Department of Information Engineering, Computer Science and Mathematics, University of L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5084720300"],"corresponding_institution_ids":["https://openalex.org/I26415053"],"apc_list":null,"apc_paid":null,"fwci":1.8915,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.87566866,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"63","issue":"7","first_page":"1897","last_page":"1912"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.954800009727478,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12423","display_name":"Software Reliability and Analysis Research","score":0.9399999976158142,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bisimulation","display_name":"Bisimulation","score":0.7940857410430908},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.7704499959945679},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6709437370300293},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6576681137084961},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.6171251535415649},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5800565481185913},{"id":"https://openalex.org/keywords/continuous-time-stochastic-process","display_name":"Continuous-time stochastic process","score":0.4846504330635071},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4668249487876892},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.43870043754577637},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.42025938630104065},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4192814826965332},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4079040586948395},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3479732275009155},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.25067269802093506},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.22941803932189941},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2264798879623413},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1732480525970459},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.16088715195655823}],"concepts":[{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.7940857410430908},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.7704499959945679},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6709437370300293},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6576681137084961},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.6171251535415649},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5800565481185913},{"id":"https://openalex.org/C158535547","wikidata":"https://www.wikidata.org/wiki/Q5165437","display_name":"Continuous-time stochastic process","level":3,"score":0.4846504330635071},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4668249487876892},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.43870043754577637},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.42025938630104065},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4192814826965332},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4079040586948395},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3479732275009155},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25067269802093506},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.22941803932189941},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2264798879623413},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1732480525970459},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.16088715195655823},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2017.2760515","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2760515","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"},{"id":"pmh:oai:pure.rug.nl:publications/d56f8594-15b7-4a73-a579-9f4e1019ac50","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/d56f8594-15b7-4a73-a579-9f4e1019ac50","pdf_url":"https://pure.rug.nl/ws/files/64488260/08062782.pdf","source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Pola, G, Manes, C, van der Schaft, A J & Di Benedetto, M D 2018, 'Bisimulation equivalence of discrete-time stochastic linear control systems', IEEE Transactions on Automatic Control, vol. 63, no. 7, pp. 1897-1912. https://doi.org/10.1109/TAC.2017.2760515","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:publications/d56f8594-15b7-4a73-a579-9f4e1019ac50","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/d56f8594-15b7-4a73-a579-9f4e1019ac50","pdf_url":"https://pure.rug.nl/ws/files/64488260/08062782.pdf","source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Pola, G, Manes, C, van der Schaft, A J & Di Benedetto, M D 2018, 'Bisimulation equivalence of discrete-time stochastic linear control systems', IEEE Transactions on Automatic Control, vol. 63, no. 7, pp. 1897-1912. https://doi.org/10.1109/TAC.2017.2760515","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2760958540.pdf","grobid_xml":"https://content.openalex.org/works/W2760958540.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W258022877","https://openalex.org/W1483893502","https://openalex.org/W1546768510","https://openalex.org/W1547562281","https://openalex.org/W1565007974","https://openalex.org/W1597655219","https://openalex.org/W1882576690","https://openalex.org/W1976268573","https://openalex.org/W1983175210","https://openalex.org/W1997070622","https://openalex.org/W2011979623","https://openalex.org/W2015172530","https://openalex.org/W2030088558","https://openalex.org/W2041961320","https://openalex.org/W2047671935","https://openalex.org/W2080813827","https://openalex.org/W2086965238","https://openalex.org/W2088271437","https://openalex.org/W2098981343","https://openalex.org/W2100893927","https://openalex.org/W2103931555","https://openalex.org/W2108670836","https://openalex.org/W2109080678","https://openalex.org/W2117218135","https://openalex.org/W2119697935","https://openalex.org/W2125422788","https://openalex.org/W2126147754","https://openalex.org/W2143095681","https://openalex.org/W2150141562","https://openalex.org/W2151745809","https://openalex.org/W2152692559","https://openalex.org/W2153452731","https://openalex.org/W2155622893","https://openalex.org/W2158345050","https://openalex.org/W2158974070","https://openalex.org/W2164957184","https://openalex.org/W2288395719","https://openalex.org/W2291873833","https://openalex.org/W2487779201","https://openalex.org/W2493389545","https://openalex.org/W2559302250","https://openalex.org/W2568911038","https://openalex.org/W2570349895","https://openalex.org/W2811079948","https://openalex.org/W2963001040","https://openalex.org/W3103990460","https://openalex.org/W3110256801","https://openalex.org/W4233323875","https://openalex.org/W4233863062","https://openalex.org/W4239721096"],"related_works":["https://openalex.org/W2331587294","https://openalex.org/W2932678026","https://openalex.org/W2995907685","https://openalex.org/W3121876284","https://openalex.org/W3109286255","https://openalex.org/W2213225174","https://openalex.org/W1964592180","https://openalex.org/W2121345901","https://openalex.org/W2912324827","https://openalex.org/W4302305711"],"abstract_inverted_index":{"In":[0],"this":[1,47],"paper,":[2],"we":[3],"propose":[4],"a":[5],"definition":[6],"of":[7,15,34,78],"equivalence":[8,81],"via":[9,53],"stochastic":[10,17,61,69,79,95],"bisimulation":[11,36,80],"for":[12,37,45,82],"the":[13,32,76],"class":[14],"discrete-time":[16],"linear":[18],"control":[19,83,92],"systems":[20],"with":[21,60,66,94],"possibly":[22],"degenerate":[23],"normally":[24],"distributed":[25],"disturbances.":[26],"The":[27],"notion":[28,33,48],"is":[29,56,85,98],"inspired":[30],"by":[31],"probabilistic":[35,38],"chains.":[39],"Geometric":[40],"necessary":[41],"and":[42,65,87],"sufficient":[43],"conditions":[44],"checking":[46],"are":[49,63],"derived.":[50],"Model":[51],"reduction":[52],"Kalman-like":[54],"decomposition":[55],"also":[57],"proposed.":[58],"Connections":[59],"reachability":[62,96],"discussed":[64],"finite":[67],"horizon":[68],"safety":[70],"problems":[71,93],"established.":[72],"A":[73],"discussion":[74],"on":[75],"use":[77],"design":[84],"given,":[86],"an":[88],"application":[89],"to":[90],"optimal":[91],"specifications":[97],"finally":[99],"presented.":[100]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6}],"updated_date":"2026-03-17T17:19:04.345684","created_date":"2025-10-10T00:00:00"}