{"id":"https://openalex.org/W4390071802","doi":"https://doi.org/10.1134/s0005117923090060","title":"Global Stability of a Second-Order Affine Switching System","display_name":"Global Stability of a Second-Order Affine Switching System","publication_year":2023,"publication_date":"2023-09-01","ids":{"openalex":"https://openalex.org/W4390071802","doi":"https://doi.org/10.1134/s0005117923090060"},"language":"en","primary_location":{"id":"doi:10.1134/s0005117923090060","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1134/s0005117923090060","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","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/A5006536153","display_name":"\u0410. \u0412. \u041f\u0435\u0441\u0442\u0435\u0440\u0435\u0432","orcid":"https://orcid.org/0000-0002-5230-0836"},"institutions":[{"id":"https://openalex.org/I4210157430","display_name":"V. A. Trapeznikov Institute of Control Sciences","ror":"https://ror.org/05f3yt521","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210157430","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. V. Pesterev","raw_affiliation_strings":["Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I4210157430"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006536153"],"corresponding_institution_ids":["https://openalex.org/I4210157430"],"apc_list":null,"apc_paid":null,"fwci":0.7504,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72596006,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"84","issue":"9","first_page":"966","last_page":"973"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9937999844551086,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9937999844551086,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9937000274658203,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9930999875068665,"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/control-theory","display_name":"Control theory (sociology)","score":0.762352705001831},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.686712384223938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6249024271965027},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5985395312309265},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.5892270803451538},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5478730201721191},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.49906325340270996},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.46154099702835083},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4370483458042145},{"id":"https://openalex.org/keywords/thermodynamic-equilibrium","display_name":"Thermodynamic equilibrium","score":0.4175736904144287},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3656086325645447},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.27837038040161133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2549596130847931},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1106879711151123},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10079720616340637},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07943287491798401},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.0620211660861969},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06144869327545166},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.061362236738204956}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.762352705001831},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.686712384223938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6249024271965027},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5985395312309265},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.5892270803451538},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5478730201721191},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.49906325340270996},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.46154099702835083},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4370483458042145},{"id":"https://openalex.org/C131157278","wikidata":"https://www.wikidata.org/wiki/Q51363","display_name":"Thermodynamic equilibrium","level":2,"score":0.4175736904144287},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3656086325645447},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.27837038040161133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2549596130847931},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1106879711151123},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10079720616340637},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07943287491798401},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0620211660861969},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06144869327545166},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.061362236738204956},{"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/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0005117923090060","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1134/s0005117923090060","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","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":15,"referenced_works":["https://openalex.org/W347085455","https://openalex.org/W1552094772","https://openalex.org/W1989591481","https://openalex.org/W2035475156","https://openalex.org/W2058408671","https://openalex.org/W2062974796","https://openalex.org/W2074857762","https://openalex.org/W2098470425","https://openalex.org/W3124971743","https://openalex.org/W3210839039","https://openalex.org/W3212439696","https://openalex.org/W4212798461","https://openalex.org/W4234144186","https://openalex.org/W4283718981","https://openalex.org/W4313407128"],"related_works":["https://openalex.org/W2366352762","https://openalex.org/W2613964090","https://openalex.org/W2380425739","https://openalex.org/W2081322886","https://openalex.org/W2349324463","https://openalex.org/W1988313539","https://openalex.org/W2029980887","https://openalex.org/W2027541371","https://openalex.org/W2380535488","https://openalex.org/W2371144154"],"abstract_inverted_index":{"Stability":[0],"of":[1,17,22,28,33,45,54,66,75,85],"an":[2],"affine":[3],"switching":[4],"system":[5,9,99],"is":[6,60,94,100],"studied.":[7],"The":[8,31],"comes":[10],"to":[11,39,49,71],"existence":[12],"when":[13],"stabilizing":[14],"a":[15,23,35,81],"chain":[16],"two":[18],"integrators":[19],"by":[20],"means":[21],"feedback":[24,36],"in":[25,63],"the":[26,46,51,56,64,76,86,90,97],"form":[27],"nested":[29],"saturators.":[30],"use":[32],"such":[34,79],"allows":[37],"one":[38],"easily":[40],"take":[41],"into":[42],"account":[43],"boundedness":[44],"control":[47],"resource,":[48],"constrain":[50],"maximum":[52],"velocity":[53],"approaching":[55],"equilibrium":[57,91],"state,":[58],"which":[59],"especially":[61],"important":[62],"case":[65],"large":[67],"initial":[68],"deviations,":[69],"and":[70],"ensure":[72],"desired":[73],"characteristics":[74],"transient":[77],"process,":[78],"as":[80],"given":[82],"exponential":[83],"rate":[84],"deviation":[87],"decrease":[88],"near":[89],"state.":[92],"It":[93],"proved":[95],"that":[96],"closed-loop":[98],"globally":[101],"stable.":[102]},"counts_by_year":[{"year":2024,"cited_by_count":4}],"updated_date":"2026-01-23T23:20:30.427331","created_date":"2025-10-10T00:00:00"}