{"id":"https://openalex.org/W2788180719","doi":"https://doi.org/10.1137/18m1212069","title":"Optimal Impulse Control of Dynamical Systems","display_name":"Optimal Impulse Control of Dynamical Systems","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2788180719","doi":"https://doi.org/10.1137/18m1212069","mag":"2788180719"},"language":"en","primary_location":{"id":"doi:10.1137/18m1212069","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1212069","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1802.09809","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054092600","display_name":"Alexey Piunovskiy","orcid":"https://orcid.org/0000-0002-9683-4856"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Alexey Piunovskiy","raw_affiliation_strings":["Department of Mathematical Sciences, University of Liverpool, L69 7ZL, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Liverpool, L69 7ZL, UK","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013883629","display_name":"Alexander Plakhov","orcid":"https://orcid.org/0000-0001-8104-9129"},"institutions":[{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]},{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT","RU"],"is_corresponding":false,"raw_author_name":"Alexander Plakhov","raw_affiliation_strings":["Center for R&D in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193, Portugal and Institute for Information Transmission Problems, Moscow, 127051, Russia"],"affiliations":[{"raw_affiliation_string":"Center for R&D in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193, Portugal and Institute for Information Transmission Problems, Moscow, 127051, Russia","institution_ids":["https://openalex.org/I4210107660","https://openalex.org/I60858718"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057131265","display_name":"Delfim F. M. Torres","orcid":"https://orcid.org/0000-0001-8641-2505"},"institutions":[{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Delfim F. M. Torres","raw_affiliation_strings":["Center for R&D in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193, Portugal"],"affiliations":[{"raw_affiliation_string":"Center for R&D in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193, Portugal","institution_ids":["https://openalex.org/I60858718"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036373241","display_name":"Yi Zhang","orcid":"https://orcid.org/0000-0002-3200-6306"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yi Zhang","raw_affiliation_strings":["Department of Mathematical Sciences, University of Liverpool, L69 7ZL, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Liverpool, L69 7ZL, UK","institution_ids":["https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5054092600"],"corresponding_institution_ids":["https://openalex.org/I146655781"],"apc_list":null,"apc_paid":null,"fwci":2.22,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.86768233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"57","issue":"4","first_page":"2720","last_page":"2752"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9670000076293945,"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"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9670000076293945,"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.9416000247001648,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.925599992275238,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7827448844909668},{"id":"https://openalex.org/keywords/impulse-control","display_name":"Impulse control","score":0.6643999814987183},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6382997632026672},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6077156662940979},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.6008312106132507},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.5857349038124084},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5444849133491516},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5280968546867371},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5071289539337158},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5051296353340149},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.49633413553237915},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4518834352493286},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4277513027191162},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16344216465950012},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.14139029383659363}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7827448844909668},{"id":"https://openalex.org/C3018727167","wikidata":"https://www.wikidata.org/wiki/Q6033829","display_name":"Impulse control","level":2,"score":0.6643999814987183},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6382997632026672},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6077156662940979},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.6008312106132507},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.5857349038124084},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5444849133491516},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5280968546867371},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5071289539337158},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5051296353340149},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.49633413553237915},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4518834352493286},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4277513027191162},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16344216465950012},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.14139029383659363},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/18m1212069","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1212069","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1802.09809","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.09809","pdf_url":"https://arxiv.org/pdf/1802.09809","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":"pmh:oai:pure.atira.dk:openaire_cris_publications/81ace125-8096-42e9-bee0-458aae1bc64a","is_oa":false,"landing_page_url":"https://birmingham.elsevierpure.com/en/publications/81ace125-8096-42e9-bee0-458aae1bc64a","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Piunovskiy, A, Plakhov, A, Torres, D F M & Zhang, Y 2019, 'Optimal impulse control of dynamical systems', SIAM Journal on Control and Optimization, vol. 57, no. 4, pp. 2720-2752. https://doi.org/10.1137/18M1212069","raw_type":"article"},{"id":"pmh:oai:ria.ua.pt:10773/26100","is_oa":true,"landing_page_url":"http://hdl.handle.net/10773/26100","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1802.09809","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.09809","pdf_url":"https://arxiv.org/pdf/1802.09809","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":[{"id":"https://metadata.un.org/sdg/3","score":0.7099999785423279,"display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G1607522747","display_name":null,"funder_award_id":"UID/MAT/04106/2013","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G1719017300","display_name":null,"funder_award_id":"UID/MAT/04106/2019","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3069120617","display_name":null,"funder_award_id":"04106","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3578747170","display_name":null,"funder_award_id":"EP/I001328/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4386758003","display_name":null,"funder_award_id":"PTDC/EEI-AUT/2933/2014","funder_id":"https://openalex.org/F4320329951","funder_display_name":"Center for Research and Development in Mathematics and Applications"},{"id":"https://openalex.org/G4799931484","display_name":null,"funder_award_id":"TOCCATA","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G6299983296","display_name":null,"funder_award_id":"PTDC/","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G6751613957","display_name":null,"funder_award_id":"UID/MAT/04106/2013","funder_id":"https://openalex.org/F4320329951","funder_display_name":"Center for Research and Development in Mathematics and Applications"},{"id":"https://openalex.org/G7275643331","display_name":null,"funder_award_id":"PTDC/EEI-AUT/2933/2014","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G878132358","display_name":null,"funder_award_id":"CIDMA","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320329951","display_name":"Center for Research and Development in Mathematics and Applications","ror":null},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1970438539","https://openalex.org/W1971383149","https://openalex.org/W1973741402","https://openalex.org/W1982857276","https://openalex.org/W1997214367","https://openalex.org/W1999366424","https://openalex.org/W2005862871","https://openalex.org/W2007831653","https://openalex.org/W2045649618","https://openalex.org/W2060434630","https://openalex.org/W2070004332","https://openalex.org/W2072847177","https://openalex.org/W2100772369","https://openalex.org/W2317735077","https://openalex.org/W2325008187","https://openalex.org/W2465828773","https://openalex.org/W2515904005","https://openalex.org/W2766239760","https://openalex.org/W2962870554","https://openalex.org/W4255805014"],"related_works":["https://openalex.org/W4389475841","https://openalex.org/W4241327272","https://openalex.org/W2120406836","https://openalex.org/W1996214847","https://openalex.org/W2903299703","https://openalex.org/W2117282672","https://openalex.org/W4211224558","https://openalex.org/W4281791088","https://openalex.org/W2119790124","https://openalex.org/W1979091787"],"abstract_inverted_index":{"Using":[0],"the":[1,4,10,15,25,28,34,55],"tools":[2],"of":[3,19,27,33,57],"Markov":[5,60],"decision":[6],"processes,":[7],"we":[8],"justify":[9],"dynamic":[11],"programming":[12],"approach":[13],"to":[14],"optimal":[16],"impulse":[17],"control":[18],"deterministic":[20,59],"dynamical":[21],"systems.":[22],"We":[23],"prove":[24],"equivalence":[26],"integral":[29],"and":[30],"differential":[31],"forms":[32],"optimality":[35],"equation.":[36],"The":[37,47],"theory":[38],"is":[39],"illustrated":[40],"by":[41],"an":[42],"example":[43],"from":[44],"mathematical":[45],"epidemiology.":[46],"developed":[48],"methods":[49],"can":[50],"be":[51],"also":[52],"useful":[53],"for":[54],"study":[56],"piecewise":[58],"processes.":[61]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2020-11-23T00:00:00"}