{"id":"https://openalex.org/W2568292803","doi":"https://doi.org/10.1109/cdc.2016.7799094","title":"Asymptotic stability in probability of a square root stochastic process","display_name":"Asymptotic stability in probability of a square root stochastic process","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2568292803","doi":"https://doi.org/10.1109/cdc.2016.7799094","mag":"2568292803"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7799094","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7799094","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","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/A5082421215","display_name":"Tahar Khalifa","orcid":null},"institutions":[{"id":"https://openalex.org/I8636806","display_name":"University of Sousse","ror":"https://ror.org/00dmpgj58","country_code":"TN","type":"education","lineage":["https://openalex.org/I8636806"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"Tahar Khalifa","raw_affiliation_strings":["Institut Sup\u00e9rieur des Sciences Appliqu\u00e9s et de Technologie de Sousse, Sousse, Tunisia"],"affiliations":[{"raw_affiliation_string":"Institut Sup\u00e9rieur des Sciences Appliqu\u00e9s et de Technologie de Sousse, Sousse, Tunisia","institution_ids":["https://openalex.org/I8636806"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059626979","display_name":"Asma Barbata","orcid":"https://orcid.org/0000-0003-0169-1133"},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Asma Barbata","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy (CRAN-UMR 7039), IUT de Longwy, Cosnes et Romain, France"],"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy (CRAN-UMR 7039), IUT de Longwy, Cosnes et Romain, France","institution_ids":["https://openalex.org/I4210110792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043249930","display_name":"M. Zasadzinski","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel Zasadzinski","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy (CRAN-UMR 7039), IUT de Longwy, Cosnes et Romain, France"],"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy (CRAN-UMR 7039), IUT de Longwy, Cosnes et Romain, France","institution_ids":["https://openalex.org/I4210110792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033283059","display_name":"Harouna Souley Ali","orcid":"https://orcid.org/0000-0003-1312-5091"},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Harouna Souley Ali","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy (CRAN-UMR 7039), IUT de Longwy, Cosnes et Romain, France"],"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy (CRAN-UMR 7039), IUT de Longwy, Cosnes et Romain, France","institution_ids":["https://openalex.org/I4210110792"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5082421215"],"corresponding_institution_ids":["https://openalex.org/I8636806"],"apc_list":null,"apc_paid":null,"fwci":0.4703,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.75596613,"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":"5379","last_page":"5383"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9943000078201294,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.7045053243637085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.669418215751648},{"id":"https://openalex.org/keywords/square-root","display_name":"Square root","score":0.6511679291725159},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.6488015055656433},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5690595507621765},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5689037442207336},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.506131112575531},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4973612129688263},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.468910813331604},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4234200716018677},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.41687268018722534},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2886703610420227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20984122157096863},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.134192556142807},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10756179690361023},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06029680371284485},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.057506829500198364}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7045053243637085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.669418215751648},{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.6511679291725159},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.6488015055656433},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5690595507621765},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5689037442207336},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.506131112575531},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4973612129688263},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.468910813331604},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4234200716018677},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.41687268018722534},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2886703610420227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20984122157096863},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.134192556142807},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10756179690361023},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06029680371284485},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.057506829500198364},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2016.7799094","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7799094","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01418747v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01418747","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"55th IEEE Conference on Decision and Control, CDC 2016, Dec 2016, Las Vegas, NV, United States","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W571221908","https://openalex.org/W1537236879","https://openalex.org/W1583323312","https://openalex.org/W1720693265","https://openalex.org/W1976025169","https://openalex.org/W1990367895","https://openalex.org/W2002882243","https://openalex.org/W2008034634","https://openalex.org/W2017932522","https://openalex.org/W2072154854","https://openalex.org/W2100687773","https://openalex.org/W2170316986","https://openalex.org/W4229928878","https://openalex.org/W4238187298","https://openalex.org/W6637564052","https://openalex.org/W6668552068"],"related_works":["https://openalex.org/W2389267936","https://openalex.org/W2010941966","https://openalex.org/W140150844","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590","https://openalex.org/W171914860","https://openalex.org/W2060317829","https://openalex.org/W4249297485"],"abstract_inverted_index":{"In":[0],"this":[1,60],"paper,":[2],"we":[3],"deal":[4],"with":[5],"asymptotic":[6,55],"stability":[7,56],"in":[8,57],"probability":[9,58],"of":[10,13,34,42,59,62],"a":[11,20,25,67],"class":[12,61],"stochastic":[14,21],"systems,":[15],"which":[16,52],"is":[17,64],"described":[18],"by":[19],"differential":[22],"equation":[23],"having":[24],"square":[26],"root":[27],"on":[28],"the":[29,40,54],"diffusion":[30],"part.":[31],"This":[32],"type":[33],"equations":[35],"are":[36],"usually":[37],"used":[38],"for":[39],"modeling":[41],"some":[43],"systems":[44,63],"such":[45],"as":[46],"population":[47],"dynamics.":[48],"A":[49],"sufficient":[50],"condition":[51],"ensures":[53],"given":[65],"using":[66],"Lyapunov":[68],"approach.":[69]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}