{"id":"https://openalex.org/W3012326229","doi":"https://doi.org/10.1109/jas.2020.1003036","title":"Stability in probability and inverse optimal control of evolution systems driven by Levy processes","display_name":"Stability in probability and inverse optimal control of evolution systems driven by Levy processes","publication_year":2020,"publication_date":"2020-03-01","ids":{"openalex":"https://openalex.org/W3012326229","doi":"https://doi.org/10.1109/jas.2020.1003036","mag":"3012326229"},"language":"en","primary_location":{"id":"doi:10.1109/jas.2020.1003036","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jas.2020.1003036","pdf_url":null,"source":{"id":"https://openalex.org/S2484288132","display_name":"IEEE/CAA Journal of Automatica Sinica","issn_l":"2329-9266","issn":["2329-9266","2329-9274"],"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/CAA Journal of Automatica Sinica","raw_type":"journal-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/A5031954514","display_name":"K.D. Do","orcid":"https://orcid.org/0000-0002-8167-7675"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Khac Duc Do","raw_affiliation_strings":["School of Civil and Mechanical Engineering, Curtin University, Bentley, WA 6102, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil and Mechanical Engineering, Curtin University, Bentley, WA 6102, Australia","institution_ids":["https://openalex.org/I205640436"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031954514"],"corresponding_institution_ids":["https://openalex.org/I205640436"],"apc_list":null,"apc_paid":null,"fwci":0.3728,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.67369886,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"7","issue":"2","first_page":"405","last_page":"419"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9919000267982483,"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"}},"topics":[{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9919000267982483,"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"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.98580002784729,"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"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9750000238418579,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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/mathematics","display_name":"Mathematics","score":0.6461685299873352},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6171911358833313},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5837658643722534},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.531827986240387},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5199102759361267},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5127028226852417},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.497635155916214},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4793858528137207},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.47294187545776367},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.46524155139923096},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3862634599208832},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3792046308517456},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2152286171913147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2063814103603363},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1928749680519104}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6461685299873352},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6171911358833313},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5837658643722534},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.531827986240387},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5199102759361267},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5127028226852417},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.497635155916214},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4793858528137207},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.47294187545776367},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.46524155139923096},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3862634599208832},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3792046308517456},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2152286171913147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2063814103603363},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1928749680519104},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jas.2020.1003036","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jas.2020.1003036","pdf_url":null,"source":{"id":"https://openalex.org/S2484288132","display_name":"IEEE/CAA Journal of Automatica Sinica","issn_l":"2329-9266","issn":["2329-9266","2329-9274"],"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/CAA Journal of Automatica Sinica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W108455648","https://openalex.org/W572539957","https://openalex.org/W591031131","https://openalex.org/W1542004730","https://openalex.org/W1579485993","https://openalex.org/W1591798773","https://openalex.org/W1995522593","https://openalex.org/W2004261738","https://openalex.org/W2015399375","https://openalex.org/W2031383357","https://openalex.org/W2055428553","https://openalex.org/W2067181869","https://openalex.org/W2075707745","https://openalex.org/W2153392494","https://openalex.org/W2159841361","https://openalex.org/W2172490084","https://openalex.org/W2491461032","https://openalex.org/W2575594030","https://openalex.org/W2791125264","https://openalex.org/W2811259241","https://openalex.org/W2899492954","https://openalex.org/W2917221348","https://openalex.org/W2946133627","https://openalex.org/W2954815960","https://openalex.org/W2962730321"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"This":[0,46],"paper":[1],"first":[2],"develops":[3],"a":[4,32,86,103,117],"Lyapunov-type":[5],"theorem":[6,47],"to":[7,51,55,101,126],"study":[8],"global":[9,74,77],"well-posedness":[10,75],"(existence":[11],"and":[12,19,42,76,84,94],"uniqueness":[13],"of":[14,24,35,40,80,110,113,116],"the":[15,81,111,114,122,128],"strong":[16],"variational":[17],"solution)":[18],"asymptotic":[20,78],"stability":[21,79],"in":[22],"probability":[23],"nonlinear":[25],"stochastic":[26],"evolution":[27,112],"systems":[28],"(SESs)":[29],"driven":[30,64],"by":[31,65],"special":[33],"class":[34],"L\u00e9vy":[36,66],"processes,":[37],"which":[38],"consist":[39],"Wiener":[41],"compensated":[43],"Poisson":[44],"processes.":[45,67],"is":[48,124],"then":[49],"utilized":[50],"develop":[52],"an":[53,57],"approach":[54,97],"solve":[56,102],"inverse":[58,69],"optimal":[59,70,108],"stabilization":[60,109],"problem":[61],"for":[62],"SESs":[63],"The":[68,96],"control":[71],"design":[72],"achieves":[73],"closed-loop":[82],"system,":[83],"minimizes":[85],"meaningful":[87],"cost":[88],"functional":[89],"that":[90],"penalizes":[91],"both":[92],"states":[93],"control.":[95],"does":[98],"not":[99],"require":[100],"Hamilton-Jacobi-Bellman":[104],"equation":[105],"(HJBE).":[106],"An":[107],"frequency":[115],"certain":[118],"genetic":[119],"character":[120],"from":[121],"population":[123],"included":[125],"illustrate":[127],"theoretical":[129],"developments.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}