{"id":"https://openalex.org/W2951888320","doi":"https://doi.org/10.1109/tcsii.2019.2922771","title":"Non-Uniform Reducing the Involved Differentiators\u2019 Orders and Lyapunov Stability Preservation Problem in Dynamic Systems","display_name":"Non-Uniform Reducing the Involved Differentiators\u2019 Orders and Lyapunov Stability Preservation Problem in Dynamic Systems","publication_year":2019,"publication_date":"2019-06-13","ids":{"openalex":"https://openalex.org/W2951888320","doi":"https://doi.org/10.1109/tcsii.2019.2922771","mag":"2951888320"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2019.2922771","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2922771","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","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/A5021252010","display_name":"Vahid Badri","orcid":"https://orcid.org/0000-0002-5681-1385"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Vahid Badri","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003620596","display_name":"Mohammad Saleh Tavazoei","orcid":"https://orcid.org/0000-0002-5428-0816"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Saleh Tavazoei","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021252010"],"corresponding_institution_ids":["https://openalex.org/I133529467"],"apc_list":null,"apc_paid":null,"fwci":2.1621,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.87692764,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"67","issue":"4","first_page":"735","last_page":"739"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9990000128746033,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9990000128746033,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9977999925613403,"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":0.9972000122070312,"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/differentiator","display_name":"Differentiator","score":0.8431724905967712},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5768988728523254},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5416685938835144},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5006856918334961},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.413130521774292},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38183435797691345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3700760006904602},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14610838890075684},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.0679658055305481},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.04764151573181152},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.04650592803955078},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.043581992387771606}],"concepts":[{"id":"https://openalex.org/C12112733","wikidata":"https://www.wikidata.org/wiki/Q2659948","display_name":"Differentiator","level":3,"score":0.8431724905967712},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5768988728523254},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5416685938835144},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5006856918334961},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.413130521774292},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38183435797691345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3700760006904602},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14610838890075684},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0679658055305481},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.04764151573181152},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.04650592803955078},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.043581992387771606},{"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/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2019.2922771","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2922771","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G1521810553","display_name":null,"funder_award_id":"95015447","funder_id":"https://openalex.org/F4320322243","funder_display_name":"Iran National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322243","display_name":"Iran National Science Foundation","ror":"https://ror.org/03sr1ma14"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1994881377","https://openalex.org/W2015207750","https://openalex.org/W2049510124","https://openalex.org/W2050580331","https://openalex.org/W2117220239","https://openalex.org/W2124137751","https://openalex.org/W2125793838","https://openalex.org/W2129531048","https://openalex.org/W2165716201","https://openalex.org/W2302482341","https://openalex.org/W2343318563","https://openalex.org/W2525433665","https://openalex.org/W2568219248","https://openalex.org/W2582995068","https://openalex.org/W2586972033","https://openalex.org/W2593882451","https://openalex.org/W2600910568","https://openalex.org/W2772155817","https://openalex.org/W2790696451","https://openalex.org/W2807082119","https://openalex.org/W2808008944","https://openalex.org/W2891184026","https://openalex.org/W2900938351","https://openalex.org/W2905070480","https://openalex.org/W2956139054","https://openalex.org/W2963354124","https://openalex.org/W4295016751","https://openalex.org/W6698092846"],"related_works":["https://openalex.org/W2371530940","https://openalex.org/W2811409742","https://openalex.org/W2151421412","https://openalex.org/W2338712305","https://openalex.org/W2137479394","https://openalex.org/W125059499","https://openalex.org/W2210722882","https://openalex.org/W2534107666","https://openalex.org/W2117933783","https://openalex.org/W2560479139"],"abstract_inverted_index":{"Although":[0],"uniform":[1],"reduction":[2,63],"of":[3,30,46,57,64,83,91,102,108,127],"the":[4,8,28,31,38,58,65,99,124],"differentiators'":[5],"orders":[6,29,66],"in":[7,15,117],"stable":[9,16],"state-space":[10],"integer":[11,47,104],"order":[12,18,48,69,85,94,105],"models":[13,59],"yields":[14],"fractional":[17],"dynamics,":[19],"stability":[20,44,55,81,90,101,115],"may":[21],"not":[22],"be":[23,51],"preserved":[24],"by":[25,61],"non-uniform":[26,62],"reducing":[27],"involved":[32],"differentiators.":[33],"This":[34],"fact":[35],"causes":[36],"that":[37],"powerful":[39],"methods":[40],"available":[41],"for":[42,54],"Lyapunov":[43,100],"analysis":[45,56,82,116],"systems":[49,86],"cannot":[50],"easily":[52],"applicable":[53],"obtained":[60],"(i.e.,":[67],"incommensurate":[68,84,93],"models).":[70],"To":[71],"overcome":[72],"such":[73,122],"a":[74],"challenge,":[75],"this":[76,109],"brief":[77,110],"aims":[78],"to":[79],"facilitate":[80],"via":[87],"finding":[88],"whether":[89],"an":[92],"system":[95],"is":[96,112],"deduced":[97],"from":[98],"its":[103],"counterpart.":[106],"Applicability":[107],"achievement":[111],"evaluated":[113],"through":[114],"some":[118],"different":[119],"case":[120,126],"studies,":[121],"as":[123],"special":[125],"linear":[128,134],"time":[129],"invariant":[130],"systems,":[131,135,137],"time-delay":[132],"positive":[133],"Lotka-Volterra":[136],"and":[138],"biological":[139],"models.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}