{"id":"https://openalex.org/W7220419982","doi":"https://doi.org/10.65904/10.65904/3083-1733.2026.2.9","title":"Volterra Control Systems with Risk-Sensitive Performance","display_name":"Volterra Control Systems with Risk-Sensitive Performance","publication_year":2026,"publication_date":"2026-10-05","ids":{"openalex":"https://openalex.org/W7220419982","doi":"https://doi.org/10.65904/10.65904/3083-1733.2026.2.9"},"language":"en","primary_location":{"id":"doi:10.65904/10.65904/3083-1733.2026.2.9","doi":"https://doi.org/10.65904/10.65904/3083-1733.2026.2.9","is_oa":false,"landing_page_url":"https://doi.org/10.65904/10.65904/3083-1733.2026.2.9","pdf_url":null,"source":{"id":"https://openalex.org/S7407062591","display_name":"Mathematical Structures and Computational Modeling","issn_l":"3083-1733","issn":["3083-1733"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures and Computational Modeling","raw_type":"journal-article"},"volume":null,"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/A5029116547","display_name":"Dahbia Hafayed","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dahbia Hafayed","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5014283354","display_name":"Adel Chala","orcid":"https://orcid.org/0000-0003-3107-8399","observed_orcids":["https://orcid.org/0000-0003-3107-8399"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Adel CHALA","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.8052309,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"102","last_page":"126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9818999767303467,"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":0.9818999767303467,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.005200000014156103,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.0032999999821186066,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.7400000095367432},{"id":"https://openalex.org/keywords/forward-stochastic-differential-equations","display_name":"forward stochastic differential equations","score":0.9190000295639038},{"id":"https://openalex.org/keywords/necessary-optimality-conditions","display_name":"necessary optimality conditions","score":0.8930000066757202},{"id":"https://openalex.org/keywords/sufficient-optimality-conditions","display_name":"sufficient optimality conditions","score":0.9990000128746033}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6643999814987183},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5414999723434448},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.48730000853538513},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4636000096797943},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4496000111103058},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4372999966144562},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4316999912261963},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.424699991941452},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4092999994754791},{"id":"https://openalex.org/C2983756050","wikidata":"https://www.wikidata.org/wiki/Q150052","display_name":"Volterra equations","level":3,"score":0.4007999897003174},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.36480000615119934},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.26980000734329224},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.260699987411499},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.25450000166893005}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.65904/10.65904/3083-1733.2026.2.9","doi":"https://doi.org/10.65904/10.65904/3083-1733.2026.2.9","is_oa":false,"landing_page_url":"https://doi.org/10.65904/10.65904/3083-1733.2026.2.9","pdf_url":null,"source":{"id":"https://openalex.org/S7407062591","display_name":"Mathematical Structures and Computational Modeling","issn_l":"3083-1733","issn":["3083-1733"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures and Computational Modeling","raw_type":"journal-article"},{"id":"doi:10.65904/3083-1733.2026.2.9","doi":"https://doi.org/10.65904/3083-1733.2026.2.9","is_oa":false,"landing_page_url":"https://doi.org/10.65904/3083-1733.2026.2.9","pdf_url":null,"source":{"id":"https://openalex.org/S7407062591","display_name":"Mathematical Structures and Computational Modeling","issn_l":"3083-1733","issn":["3083-1733"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures and Computational Modeling","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W6996833225","https://openalex.org/W3000839619","https://openalex.org/W2920075541","https://openalex.org/W2911436141","https://openalex.org/W2591350062","https://openalex.org/W2563671200","https://openalex.org/W4385478500","https://openalex.org/W4230790950","https://openalex.org/W6993139371","https://openalex.org/W2081739285"],"abstract_inverted_index":{"In":[0],"the":[1,10,21,44,52,56],"present":[2],"paper,":[3],"our":[4],"aim":[5],"is":[6,23,49],"to":[7],"focus":[8],"on":[9],"problem":[11],"of":[12,46],"optimal":[13,53],"control":[14,34],"under":[15],"a":[16,26,40],"risk-sensitive":[17,65],"performance":[18,66],"functional,":[19],"where":[20,43],"system":[22,35],"given":[24],"by":[25],"forward":[27],"stochastic":[28],"differential":[29],"volterra":[30],"equation.":[31],"The":[32],"risk-neutral":[33],"has":[36],"been":[37],"used":[38],"as":[39,58,60],"preliminary":[41],"step,":[42],"set":[45],"admissible":[47],"controls":[48],"convex,":[50],"and":[51],"solution":[54],"exists,":[55],"necessary":[57],"well":[59],"sufficient":[61],"optimality":[62],"conditions":[63],"for":[64],"are":[67],"proved.":[68]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-06T00:00:00"}