{"id":"https://openalex.org/W2128549013","doi":"https://doi.org/10.1109/cdc.2008.4739497","title":"On hybrid diffusions","display_name":"On hybrid diffusions","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2128549013","doi":"https://doi.org/10.1109/cdc.2008.4739497","mag":"2128549013"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4739497","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4739497","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","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/A5051604373","display_name":"Chao Zhu","orcid":"https://orcid.org/0000-0002-6764-6979"},"institutions":[{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C. Zhu","raw_affiliation_strings":["Department of Mathematical Sciences, University of Wisconsin, Milwaukee, Milwaukee, WI, USA","Dept. of Math. Sci., Univ. of Wisconsin-Milwaukee, Milwaukee, WI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Wisconsin, Milwaukee, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I43579087"]},{"raw_affiliation_string":"Dept. of Math. Sci., Univ. of Wisconsin-Milwaukee, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I43579087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008853967","display_name":"George Yin","orcid":"https://orcid.org/0000-0002-2951-0704"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Yin","raw_affiliation_strings":["Department of Mathematics, Wayne State University, Detroit, MI, USA","Dept. of Math., Wayne State Univ., Detroit, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wayne State University, Detroit, MI, USA","institution_ids":["https://openalex.org/I185443292"]},{"raw_affiliation_string":"Dept. of Math., Wayne State Univ., Detroit, MI, USA","institution_ids":["https://openalex.org/I185443292"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051604373"],"corresponding_institution_ids":["https://openalex.org/I43579087"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.22454924,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1507","last_page":"1512"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9990000128746033,"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":0.9990000128746033,"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/T11195","display_name":"Simulation Techniques and Applications","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/ergodicity","display_name":"Ergodicity","score":0.8715077638626099},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7623594403266907},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6488397121429443},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.6007221341133118},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5330053567886353},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4851192235946655},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47961318492889404},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.45358139276504517},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.43437016010284424},{"id":"https://openalex.org/keywords/continuous-time-markov-chain","display_name":"Continuous-time Markov chain","score":0.43091708421707153},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4154934883117676},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3411800265312195},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.31733888387680054},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3122270405292511},{"id":"https://openalex.org/keywords/balance-equation","display_name":"Balance equation","score":0.2858806252479553},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.16564622521400452},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14747852087020874},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.0666959285736084}],"concepts":[{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.8715077638626099},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7623594403266907},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6488397121429443},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.6007221341133118},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5330053567886353},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4851192235946655},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47961318492889404},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.45358139276504517},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.43437016010284424},{"id":"https://openalex.org/C147080032","wikidata":"https://www.wikidata.org/wiki/Q176720","display_name":"Continuous-time Markov chain","level":5,"score":0.43091708421707153},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4154934883117676},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3411800265312195},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.31733888387680054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3122270405292511},{"id":"https://openalex.org/C158917313","wikidata":"https://www.wikidata.org/wiki/Q4849964","display_name":"Balance equation","level":4,"score":0.2858806252479553},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.16564622521400452},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14747852087020874},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0666959285736084},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2008.4739497","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4739497","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1490150974","https://openalex.org/W1492325052","https://openalex.org/W1499021337","https://openalex.org/W1551529843","https://openalex.org/W1553915646","https://openalex.org/W1579485993","https://openalex.org/W1583915406","https://openalex.org/W1827189078","https://openalex.org/W1866311589","https://openalex.org/W1969848360","https://openalex.org/W1983688082","https://openalex.org/W1990784704","https://openalex.org/W2007438913","https://openalex.org/W2011961136","https://openalex.org/W2013004700","https://openalex.org/W2014615708","https://openalex.org/W2020701804","https://openalex.org/W2030161410","https://openalex.org/W2039103468","https://openalex.org/W2039776803","https://openalex.org/W2046034165","https://openalex.org/W2046904024","https://openalex.org/W2047188539","https://openalex.org/W2058231943","https://openalex.org/W2076579387","https://openalex.org/W2076837481","https://openalex.org/W2081877251","https://openalex.org/W2092911205","https://openalex.org/W2098856305","https://openalex.org/W2103262285","https://openalex.org/W2112523125","https://openalex.org/W2146851017","https://openalex.org/W2156835128","https://openalex.org/W2278142862","https://openalex.org/W2588802287","https://openalex.org/W2596330628","https://openalex.org/W4210726423","https://openalex.org/W4235816940","https://openalex.org/W4297584681"],"related_works":["https://openalex.org/W2391646062","https://openalex.org/W2070152949","https://openalex.org/W2365817010","https://openalex.org/W1989625169","https://openalex.org/W2065700200","https://openalex.org/W13375693","https://openalex.org/W2895561605","https://openalex.org/W2113019827","https://openalex.org/W2413828414","https://openalex.org/W296145649"],"abstract_inverted_index":{"For":[0],"the":[1,48],"pressing":[2],"needs":[3],"in":[4],"control":[5],"and":[6,18,29],"optimization":[7],"using":[8,47],"hybrid":[9],"systems,":[10],"this":[11],"work":[12],"focuses":[13],"on":[14],"weak":[15,33],"stochastic":[16],"stability":[17],"ergodicity":[19,36],"of":[20,37],"regime-switching":[21,40],"diffusions.":[22],"Using":[23],"Liapunov":[24],"functions,":[25],"we":[26],"derive":[27],"necessary":[28],"sufficient":[30],"conditions":[31],"for":[32],"stability.":[34],"Then,":[35],"weakly":[38],"stable":[39],"diffusions":[41],"is":[42],"obtained":[43],"by":[44],"constructing":[45],"cycles":[46],"associated":[49],"discrete-time":[50],"Markov":[51],"chains.":[52]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}