{"id":"https://openalex.org/W1608282373","doi":"https://doi.org/10.1109/aucc.2014.7358693","title":"Robust mean square stability of open quantum stochastic systems with Hamiltonian perturbations in a Weyl quantization form","display_name":"Robust mean square stability of open quantum stochastic systems with Hamiltonian perturbations in a Weyl quantization form","publication_year":2014,"publication_date":"2014-11-01","ids":{"openalex":"https://openalex.org/W1608282373","doi":"https://doi.org/10.1109/aucc.2014.7358693","mag":"1608282373"},"language":"en","primary_location":{"id":"doi:10.1109/aucc.2014.7358693","is_oa":false,"landing_page_url":"https://doi.org/10.1109/aucc.2014.7358693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 4th Australian Control Conference (AUCC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1503.02122","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087853382","display_name":"Arash Kh. Sichani","orcid":null},"institutions":[{"id":"https://openalex.org/I188329596","display_name":"University of Canberra","ror":"https://ror.org/04s1nv328","country_code":"AU","type":"education","lineage":["https://openalex.org/I188329596"]},{"id":"https://openalex.org/I4394709116","display_name":"UNSW Canberra","ror":"https://ror.org/0125wpx05","country_code":null,"type":"education","lineage":["https://openalex.org/I31746571","https://openalex.org/I4394709116"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Arash Kh. Sichani","raw_affiliation_strings":["UNSW Canberra, ACT, Australia","UNSW Canberra, ACT 2600, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNSW Canberra, ACT, Australia","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I4394709116"]},{"raw_affiliation_string":"UNSW Canberra, ACT 2600, Australia","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I4394709116"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083313944","display_name":"Igor G. Vladimirov","orcid":"https://orcid.org/0000-0002-9355-4736"},"institutions":[{"id":"https://openalex.org/I188329596","display_name":"University of Canberra","ror":"https://ror.org/04s1nv328","country_code":"AU","type":"education","lineage":["https://openalex.org/I188329596"]},{"id":"https://openalex.org/I4394709116","display_name":"UNSW Canberra","ror":"https://ror.org/0125wpx05","country_code":null,"type":"education","lineage":["https://openalex.org/I31746571","https://openalex.org/I4394709116"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Igor G. Vladimirov","raw_affiliation_strings":["UNSW Canberra, ACT, Australia","UNSW Canberra, ACT 2600, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNSW Canberra, ACT, Australia","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I4394709116"]},{"raw_affiliation_string":"UNSW Canberra, ACT 2600, Australia","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I4394709116"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011597574","display_name":"Ian R. Petersen","orcid":"https://orcid.org/0000-0003-4856-9450"},"institutions":[{"id":"https://openalex.org/I188329596","display_name":"University of Canberra","ror":"https://ror.org/04s1nv328","country_code":"AU","type":"education","lineage":["https://openalex.org/I188329596"]},{"id":"https://openalex.org/I4394709116","display_name":"UNSW Canberra","ror":"https://ror.org/0125wpx05","country_code":null,"type":"education","lineage":["https://openalex.org/I31746571","https://openalex.org/I4394709116"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ian R. Petersen","raw_affiliation_strings":["UNSW Canberra, ACT, Australia","UNSW Canberra, ACT 2600, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNSW Canberra, ACT, Australia","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I4394709116"]},{"raw_affiliation_string":"UNSW Canberra, ACT 2600, Australia","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I4394709116"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2087,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53654043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"83","last_page":"88"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.653104841709137},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6225402355194092},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.5422317981719971},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5266653895378113},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.5028917193412781},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.4537437856197357},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.44435355067253113},{"id":"https://openalex.org/keywords/boson","display_name":"Boson","score":0.43865910172462463},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.37669143080711365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3227192163467407},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.25794100761413574},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25572991371154785}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.653104841709137},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6225402355194092},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.5422317981719971},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5266653895378113},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.5028917193412781},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.4537437856197357},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.44435355067253113},{"id":"https://openalex.org/C79118098","wikidata":"https://www.wikidata.org/wiki/Q43101","display_name":"Boson","level":2,"score":0.43865910172462463},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.37669143080711365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3227192163467407},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.25794100761413574},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25572991371154785},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1109/aucc.2014.7358693","is_oa":false,"landing_page_url":"https://doi.org/10.1109/aucc.2014.7358693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 4th Australian Control Conference (AUCC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1503.02122","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1503.02122","pdf_url":"https://arxiv.org/pdf/1503.02122","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:1608282373","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1503.02122.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:unsworks.library.unsw.edu.au:1959.4/unsworks_34645","is_oa":true,"landing_page_url":"http://hdl.handle.net/1959.4/unsworks_34645","pdf_url":null,"source":{"id":"https://openalex.org/S4306401737","display_name":"UNSWorks (University of New South Wales, Sydney, Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40053085","host_organization_name":"Australian Defence Force Academy","host_organization_lineage":["https://openalex.org/I40053085"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Australian Control Conference 2014, AUSTRALIA, Canberra, 2014-11-17 - 2014-11-17","raw_type":"http://purl.org/coar/resource_type/c_5794"},{"id":"pmh:oai:unsworks.unsw.edu.au:1959.4/unsworks_34645","is_oa":false,"landing_page_url":"http://handle.unsw.edu.au/1959.4/unsworks_34645","pdf_url":null,"source":{"id":"https://openalex.org/S4377196481","display_name":"UNSWorks (UNSW Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31746571","host_organization_name":"UNSW Sydney","host_organization_lineage":["https://openalex.org/I31746571"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"},{"id":"doi:10.48550/arxiv.1503.02122","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1503.02122","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.13140/2.1.1869.7925","is_oa":true,"landing_page_url":"https://doi.org/10.13140/2.1.1869.7925","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1503.02122","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1503.02122","pdf_url":"https://arxiv.org/pdf/1503.02122","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1608282373.pdf","grobid_xml":"https://content.openalex.org/works/W1608282373.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W170550087","https://openalex.org/W656583468","https://openalex.org/W1504272734","https://openalex.org/W1543055108","https://openalex.org/W2000630868","https://openalex.org/W2015683881","https://openalex.org/W2032839191","https://openalex.org/W2070389945","https://openalex.org/W2084265277","https://openalex.org/W2101524730","https://openalex.org/W2104128408","https://openalex.org/W2134403289","https://openalex.org/W2762646235","https://openalex.org/W2963661718","https://openalex.org/W2963859627","https://openalex.org/W3105730220","https://openalex.org/W6630187409","https://openalex.org/W6641694866","https://openalex.org/W6655773005","https://openalex.org/W6666427407","https://openalex.org/W6678344089","https://openalex.org/W6679502763","https://openalex.org/W6688858257","https://openalex.org/W6750260241","https://openalex.org/W6770759485","https://openalex.org/W6813201102"],"related_works":["https://openalex.org/W1959102411","https://openalex.org/W1987222191","https://openalex.org/W3046367967","https://openalex.org/W3135459036","https://openalex.org/W1605695215","https://openalex.org/W2790058588","https://openalex.org/W1982032023","https://openalex.org/W2104959921","https://openalex.org/W3187066260","https://openalex.org/W2767932361","https://openalex.org/W2055297953","https://openalex.org/W1972726835","https://openalex.org/W3048176686","https://openalex.org/W2757622853","https://openalex.org/W2963410475","https://openalex.org/W2519799946","https://openalex.org/W183814912","https://openalex.org/W2041282807","https://openalex.org/W2156416889","https://openalex.org/W1634053136"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,64,78],"concerned":[3],"with":[4],"open":[5],"quantum":[6,19,28,76],"systems":[7],"whose":[8],"dynamic":[9],"variables":[10,58],"satisfy":[11],"canonical":[12],"commutation":[13],"relations":[14],"and":[15,59],"are":[16,25,40,101],"governed":[17],"by":[18,27],"stochastic":[20],"differential":[21],"equations.":[22],"The":[23,36,47],"latter":[24],"driven":[26],"Wiener":[29],"processes":[30],"which":[31,63,90],"represent":[32],"external":[33],"boson":[34],"fields.":[35],"system-field":[37],"coupling":[38],"operators":[39],"linear":[41,75],"functions":[42],"of":[43,50,55,87,96,110,116,119],"the":[44,56,73,85,88,97,114,120],"system":[45,57,77,121],"variables.":[46,122],"Hamiltonian":[48,89,111],"consists":[49],"a":[51,67,108],"nominal":[52,74],"quadratic":[53],"function":[54],"an":[60],"uncertain":[61],"perturbation":[62,86],"represented":[65],"in":[66,113],"Weyl":[68],"quantization":[69],"form.":[70],"Assuming":[71],"that":[72],"stable,":[79],"we":[80],"develop":[81],"sufficient":[82],"conditions":[83],"on":[84],"guarantee":[91],"robust":[92],"mean":[93],"square":[94],"stability":[95],"perturbed":[98],"system.":[99],"Examples":[100],"given":[102],"to":[103],"illustrate":[104],"these":[105],"results":[106],"for":[107],"class":[109],"perturbations":[112],"form":[115],"trigonometric":[117],"polynomials":[118]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}