{"id":"https://openalex.org/W2923135646","doi":"https://doi.org/10.1109/cdc40024.2019.9030056","title":"Stability guarantees for nonlinear discrete-time systems controlled by approximate value iteration","display_name":"Stability guarantees for nonlinear discrete-time systems controlled by approximate value iteration","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W2923135646","doi":"https://doi.org/10.1109/cdc40024.2019.9030056","mag":"2923135646"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9030056","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030056","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11343/249534","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003519273","display_name":"Romain Postoyan","orcid":"https://orcid.org/0000-0002-2454-602X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"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"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Romain Postoyan","raw_affiliation_strings":["CNRS, CRAN, Universit\u00e9 de Lorraine, Nancy, France"],"affiliations":[{"raw_affiliation_string":"CNRS, CRAN, Universit\u00e9 de Lorraine, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I1294671590","https://openalex.org/I4210110792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060471832","display_name":"Mathieu Granzotto","orcid":"https://orcid.org/0000-0003-3830-8820"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"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"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mathieu Granzotto","raw_affiliation_strings":["CNRS, CRAN, Universit\u00e9 de Lorraine, Nancy, France"],"affiliations":[{"raw_affiliation_string":"CNRS, CRAN, Universit\u00e9 de Lorraine, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I1294671590","https://openalex.org/I4210110792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058935509","display_name":"Lucian Bu\u015foniu","orcid":"https://orcid.org/0000-0001-8017-1296"},"institutions":[{"id":"https://openalex.org/I158333966","display_name":"Technical University of Cluj-Napoca","ror":"https://ror.org/03r8nwp71","country_code":"RO","type":"education","lineage":["https://openalex.org/I158333966"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Lucian Busoniu","raw_affiliation_strings":["Department of Automation, Technical University of Cluj-Napoca, Cluj-Napoca, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Technical University of Cluj-Napoca, Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I158333966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032281855","display_name":"Bruno Scherrer","orcid":"https://orcid.org/0000-0001-6097-4489"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bruno Scherrer","raw_affiliation_strings":["CNRS, Inria, IECL, Universit\u00e9 de Lorraine, Nancy, France"],"affiliations":[{"raw_affiliation_string":"CNRS, Inria, IECL, Universit\u00e9 de Lorraine, Nancy, France","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085412124","display_name":"Dragan Nessic","orcid":null},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Dragan Nessic","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Melbourne, Parkville, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Melbourne, Parkville, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015675169","display_name":"Jamal Daafouz","orcid":"https://orcid.org/0000-0001-8313-8790"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"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"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jamal Daafouz","raw_affiliation_strings":["CNRS, CRAN, Universit\u00e9 de Lorraine, Nancy, France"],"affiliations":[{"raw_affiliation_string":"CNRS, CRAN, Universit\u00e9 de Lorraine, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I1294671590","https://openalex.org/I4210110792"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5003519273"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792","https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":0.3991,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62632499,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"487","last_page":"492"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9951000213623047,"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/T11236","display_name":"Control Systems and Identification","score":0.9884999990463257,"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/parameterized-complexity","display_name":"Parameterized complexity","score":0.7680082321166992},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6472653746604919},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6122329235076904},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.599931538105011},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5666090250015259},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5554218292236328},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5543456077575684},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5179328322410583},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5015807151794434},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4614945650100708},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4562276005744934},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4454364776611328},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4356042146682739},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.41736748814582825},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3119164705276489},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15208029747009277},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10971030592918396},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08930525183677673}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7680082321166992},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6472653746604919},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6122329235076904},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.599931538105011},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5666090250015259},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5554218292236328},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5543456077575684},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5179328322410583},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5015807151794434},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4614945650100708},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4562276005744934},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4454364776611328},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4356042146682739},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.41736748814582825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3119164705276489},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15208029747009277},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10971030592918396},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08930525183677673},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/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":3,"locations":[{"id":"doi:10.1109/cdc40024.2019.9030056","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030056","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:jupiter.its.unimelb.edu.au:11343/249534","is_oa":true,"landing_page_url":"http://hdl.handle.net/11343/249534","pdf_url":"http://hdl.handle.net/11343/249534","source":{"id":"https://openalex.org/S4377196259","display_name":"Minerva Access (University of Melbourne)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165779595","host_organization_name":"The University of Melbourne","host_organization_lineage":["https://openalex.org/I165779595"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"58th IEEE Conference on Decision and Control (CDC)","raw_type":"Conference Paper"},{"id":"pmh:oai:HAL:hal-02074801v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02074801","pdf_url":null,"source":{"id":"https://openalex.org/S4406922276","display_name":"INRIA a CCSD electronic archive server","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"CDC 2019 - 58th IEEE Conference on Decision and Control","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:jupiter.its.unimelb.edu.au:11343/249534","is_oa":true,"landing_page_url":"http://hdl.handle.net/11343/249534","pdf_url":"http://hdl.handle.net/11343/249534","source":{"id":"https://openalex.org/S4377196259","display_name":"Minerva Access (University of Melbourne)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165779595","host_organization_name":"The University of Melbourne","host_organization_lineage":["https://openalex.org/I165779595"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"58th IEEE Conference on Decision and Control (CDC)","raw_type":"Conference Paper"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1453867828","display_name":null,"funder_award_id":"7/2018","funder_id":"https://openalex.org/F4320323983","funder_display_name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii"},{"id":"https://openalex.org/G1926922637","display_name":null,"funder_award_id":"PN-III-P1-1.1-PD-2016","funder_id":"https://openalex.org/F4320323983","funder_display_name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii"},{"id":"https://openalex.org/G6058054535","display_name":null,"funder_award_id":"PN-III-P1-1.1","funder_id":"https://openalex.org/F4320323983","funder_display_name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii"},{"id":"https://openalex.org/G7430875941","display_name":null,"funder_award_id":"grant","funder_id":"https://openalex.org/F4320323983","funder_display_name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii"},{"id":"https://openalex.org/G7688415803","display_name":null,"funder_award_id":"PN-III-P1-1","funder_id":"https://openalex.org/F4320323983","funder_display_name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii"},{"id":"https://openalex.org/G8141067265","display_name":null,"funder_award_id":"PNCDI III","funder_id":"https://openalex.org/F4320323983","funder_display_name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii"}],"funders":[{"id":"https://openalex.org/F4320323983","display_name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii","ror":"https://ror.org/01q7jq182"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2923135646.pdf"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1983089547","https://openalex.org/W2036729506","https://openalex.org/W2054136677","https://openalex.org/W2081797037","https://openalex.org/W2103263764","https://openalex.org/W2117355432","https://openalex.org/W2120015880","https://openalex.org/W2135444912","https://openalex.org/W2160284799","https://openalex.org/W2162807113","https://openalex.org/W2168027532","https://openalex.org/W2189990206","https://openalex.org/W2467518411","https://openalex.org/W2529970964","https://openalex.org/W2569145515","https://openalex.org/W2571462713","https://openalex.org/W2766502495","https://openalex.org/W2912456260","https://openalex.org/W2923135646","https://openalex.org/W2962974451","https://openalex.org/W2963393268","https://openalex.org/W3015341440","https://openalex.org/W4205326910","https://openalex.org/W4243421009","https://openalex.org/W6634528131","https://openalex.org/W6677549092","https://openalex.org/W6678299562","https://openalex.org/W6775482291"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W1494268238","https://openalex.org/W154868527","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W1487529330","https://openalex.org/W2342355949","https://openalex.org/W2113922443","https://openalex.org/W1965992231","https://openalex.org/W2602009922"],"abstract_inverted_index":{"Value":[0],"iteration":[1,43,108],"is":[2,118,148],"a":[3,27,69,82,154],"method":[4],"to":[5,21],"generate":[6],"optimal":[7],"control":[8],"inputs":[9,57],"for":[10,54,93],"generic":[11],"nonlinear":[12,66],"systems":[13,53,85,140],"and":[14,68,106,123,166,182],"cost":[15],"functions.":[16],"Its":[17],"implementation":[18],"typically":[19],"leads":[20],"approximation":[22,95,133],"errors,":[23,134],"which":[24,55,90,111],"may":[25],"have":[26],"major":[28],"impact":[29],"on":[30,131,150],"the":[31,50,56,78,94,97,103,107,115,132,136,151,159,162,167,172,175],"closed-loop":[32,79,139],"system":[33,80],"performance.":[34],"We":[35,62,76],"talk":[36],"in":[37],"this":[38,46],"case":[39],"of":[40,52,71,84,96,138,153,161,174],"approximate":[41,163],"value":[42,98,164],"(AVI).":[44],"In":[45],"paper,":[47],"we":[48,112],"investigate":[49],"stability":[51,144,184],"are":[58,91,186],"obtained":[59],"by":[60,87,158],"AVI.":[61],"consider":[63],"deterministic":[64],"discrete-time":[65],"plants":[67],"class":[70],"general,":[72],"possibly":[73],"discounted,":[74],"costs.":[75],"model":[77],"as":[81,126,128],"family":[83,137],"parameterized":[86],"tunable":[88],"parameters,":[89],"used":[92],"function":[99,156,165,169],"at":[100,110],"different":[101],"iterations,":[102],"discount":[104],"factor":[105],"step":[109],"stop":[113],"running":[114],"algorithm.":[116],"It":[117],"shown,":[119],"under":[120],"natural":[121],"stabilizability":[122],"detectability":[124,173],"properties":[125,185],"well":[127],"mild":[129],"conditions":[130],"that":[135,170],"exhibit":[141],"local":[142],"practical":[143],"properties.":[145],"The":[146],"analysis":[147],"based":[149],"construction":[152],"Lyapunov":[155],"given":[157],"sum":[160],"Lyapunov-like":[168],"characterizes":[171],"system.":[176],"By":[177],"strengthening":[178],"our":[179],"conditions,":[180],"asymptotic":[181],"exponential":[183],"guaranteed.":[187]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}