{"id":"https://openalex.org/W4386224035","doi":"https://doi.org/10.3390/axioms12090820","title":"Boundary Controlling Synchronization and Passivity Analysis for Multi-Variable Discrete Stochastic Inertial Neural Networks","display_name":"Boundary Controlling Synchronization and Passivity Analysis for Multi-Variable Discrete Stochastic Inertial Neural Networks","publication_year":2023,"publication_date":"2023-08-26","ids":{"openalex":"https://openalex.org/W4386224035","doi":"https://doi.org/10.3390/axioms12090820"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12090820","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms12090820","pdf_url":"https://www.mdpi.com/2075-1680/12/9/820/pdf","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/9/820/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100302568","display_name":"Yongyan Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210164787","display_name":"Puyang Vocational and Technical College","ror":"https://ror.org/05t1wae93","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210164787"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongyan Yang","raw_affiliation_strings":["Department of Computer Science and Mathematics, Anyang University, Anyang 455131, China","Department of Mathematics, Puyang Petrochemical Vocational and Techenical College, Puyang 457001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Mathematics, Anyang University, Anyang 455131, China","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Puyang Petrochemical Vocational and Techenical College, Puyang 457001, China","institution_ids":["https://openalex.org/I4210164787"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028270700","display_name":"Tianwei Zhang","orcid":"https://orcid.org/0000-0001-6777-1668"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tianwei Zhang","raw_affiliation_strings":["Department of Mathematics, Yunnan University, Kunming 650091, China"],"raw_orcid":"https://orcid.org/0000-0001-6777-1668","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yunnan University, Kunming 650091, China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019315882","display_name":"Zhouhong Li","orcid":"https://orcid.org/0000-0002-3108-9699"},"institutions":[{"id":"https://openalex.org/I4210143338","display_name":"Yuxi Normal University","ror":"https://ror.org/048fp0x47","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210143338"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhouhong Li","raw_affiliation_strings":["Department of Mathematics, Yuxi Normal University, Yuxi 653100, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yuxi Normal University, Yuxi 653100, China","institution_ids":["https://openalex.org/I4210143338"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028270700"],"corresponding_institution_ids":["https://openalex.org/I189210763"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12271821,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"9","first_page":"820","last_page":"820"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/passivity","display_name":"Passivity","score":0.868797779083252},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.774087131023407},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6833814978599548},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6040401458740234},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.5812397003173828},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5751194357872009},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5337579846382141},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5333445072174072},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5085841417312622},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49109458923339844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45208871364593506},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.411182701587677},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3402370512485504},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.16254016757011414},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14409670233726501},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12175700068473816},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.10805004835128784},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08866450190544128},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08349233865737915}],"concepts":[{"id":"https://openalex.org/C2778809601","wikidata":"https://www.wikidata.org/wiki/Q1045736","display_name":"Passivity","level":2,"score":0.868797779083252},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.774087131023407},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6833814978599548},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6040401458740234},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.5812397003173828},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5751194357872009},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5337579846382141},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5333445072174072},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5085841417312622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49109458923339844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45208871364593506},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.411182701587677},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3402370512485504},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.16254016757011414},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14409670233726501},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12175700068473816},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.10805004835128784},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08866450190544128},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08349233865737915},{"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms12090820","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms12090820","pdf_url":"https://www.mdpi.com/2075-1680/12/9/820/pdf","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9abd60a5bed34b4695d021d29a666a11","is_oa":true,"landing_page_url":"https://doaj.org/article/9abd60a5bed34b4695d021d29a666a11","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 9, p 820 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/9/820/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12090820","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Axioms; Volume 12; Issue 9; Pages: 820","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12090820","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms12090820","pdf_url":"https://www.mdpi.com/2075-1680/12/9/820/pdf","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386224035.pdf","grobid_xml":"https://content.openalex.org/works/W4386224035.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W13811575","https://openalex.org/W2083695717","https://openalex.org/W2144466758","https://openalex.org/W2183448753","https://openalex.org/W2289017808","https://openalex.org/W2600488854","https://openalex.org/W2900821062","https://openalex.org/W2936023520","https://openalex.org/W2972330535","https://openalex.org/W2980138570","https://openalex.org/W2982397200","https://openalex.org/W2997622810","https://openalex.org/W3001667144","https://openalex.org/W3017230356","https://openalex.org/W3033785455","https://openalex.org/W3048057002","https://openalex.org/W3084456325","https://openalex.org/W3107896324","https://openalex.org/W3124421346","https://openalex.org/W3151411732","https://openalex.org/W3167551639","https://openalex.org/W3185421529","https://openalex.org/W3196684499","https://openalex.org/W3200060012","https://openalex.org/W3206856212","https://openalex.org/W3211333361","https://openalex.org/W4200200460","https://openalex.org/W4205371518","https://openalex.org/W4210905432","https://openalex.org/W4213457707","https://openalex.org/W4220707002","https://openalex.org/W4220837569","https://openalex.org/W4221044691","https://openalex.org/W4224261506","https://openalex.org/W4229052798","https://openalex.org/W4290988144","https://openalex.org/W4292835054","https://openalex.org/W4292971449","https://openalex.org/W4293558860","https://openalex.org/W4295757744","https://openalex.org/W4295845647","https://openalex.org/W4304127757","https://openalex.org/W4366979761","https://openalex.org/W4380152324","https://openalex.org/W4380451751","https://openalex.org/W4385145826","https://openalex.org/W6786143592","https://openalex.org/W6798871008"],"related_works":["https://openalex.org/W4233304828","https://openalex.org/W4239268637","https://openalex.org/W1977819874","https://openalex.org/W2029114279","https://openalex.org/W1990502710","https://openalex.org/W2159479095","https://openalex.org/W2597933631","https://openalex.org/W2783079625","https://openalex.org/W1772383813","https://openalex.org/W2740739384"],"abstract_inverted_index":{"The":[0],"current":[1],"paper":[2],"considers":[3],"discrete":[4,32,64],"stochastic":[5,25,56],"inertial":[6],"neural":[7],"networks":[8],"(SINNs)":[9],"with":[10,21],"reaction":[11,22],"diffusions.":[12,23],"Firstly,":[13],"we":[14,51],"give":[15],"the":[16,62],"difference":[17],"form":[18],"of":[19,31],"SINNs":[20,36],"Secondly,":[24],"synchronization":[26,57],"and":[27,34,46,58],"passivity-based":[28,59],"control":[29,60],"frames":[30],"time":[33],"space":[35],"are":[37],"newly":[38],"formulated.":[39],"Thirdly,":[40],"by":[41],"designing":[42],"a":[43,48,72],"boundary":[44],"controller":[45],"constructing":[47],"Lyapunov-Krasovskii":[49],"functional,":[50],"address":[52],"decision":[53],"theorems":[54],"for":[55,61],"aforementioned":[63],"SINNs.":[65],"Finally,":[66],"to":[67],"illustrate":[68],"our":[69],"main":[70],"results,":[71],"numerical":[73],"illustration":[74],"is":[75],"provided.":[76]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2023-08-29T00:00:00"}
