{"id":"https://openalex.org/W4229373066","doi":"https://doi.org/10.3390/sym14050951","title":"Fixed-Time Synchronization Analysis of Genetic Regulatory Network Model with Time-Delay","display_name":"Fixed-Time Synchronization Analysis of Genetic Regulatory Network Model with Time-Delay","publication_year":2022,"publication_date":"2022-05-07","ids":{"openalex":"https://openalex.org/W4229373066","doi":"https://doi.org/10.3390/sym14050951"},"language":"en","primary_location":{"id":"doi:10.3390/sym14050951","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14050951","pdf_url":"https://www.mdpi.com/2073-8994/14/5/951/pdf?version=1651907683","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/5/951/pdf?version=1651907683","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019062864","display_name":"Yajun Zhou","orcid":"https://orcid.org/0000-0003-4431-6771"},"institutions":[{"id":"https://openalex.org/I4210141792","display_name":"Hunan Vocational Institute of Technology","ror":"https://ror.org/0464edf64","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141792"]},{"id":"https://openalex.org/I91935597","display_name":"University of South China","ror":"https://ror.org/03mqfn238","country_code":"CN","type":"education","lineage":["https://openalex.org/I91935597"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yajun Zhou","raw_affiliation_strings":["School of Mathematics and Physics, University of South China, Hengyang 421001, China","School of Primary Education, Hunan Vocational College for Nationalities, Yueyang 414000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, University of South China, Hengyang 421001, China","institution_ids":["https://openalex.org/I91935597"]},{"raw_affiliation_string":"School of Primary Education, Hunan Vocational College for Nationalities, Yueyang 414000, China","institution_ids":["https://openalex.org/I4210141792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056594762","display_name":"You Gao","orcid":"https://orcid.org/0000-0001-8402-3477"},"institutions":[{"id":"https://openalex.org/I91935597","display_name":"University of South China","ror":"https://ror.org/03mqfn238","country_code":"CN","type":"education","lineage":["https://openalex.org/I91935597"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"You Gao","raw_affiliation_strings":["School of Mathematics and Physics, University of South China, Hengyang 421001, China"],"raw_orcid":"https://orcid.org/0000-0001-8402-3477","affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, University of South China, Hengyang 421001, China","institution_ids":["https://openalex.org/I91935597"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056594762"],"corresponding_institution_ids":["https://openalex.org/I91935597"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.1732,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46864985,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"14","issue":"5","first_page":"951","last_page":"951"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9951000213623047,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9948999881744385,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7450302839279175},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7057089805603027},{"id":"https://openalex.org/keywords/settling-time","display_name":"Settling time","score":0.6508015394210815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6416723728179932},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5614632368087769},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46727311611175537},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4140041172504425},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28073441982269287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2661460041999817},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.16916003823280334},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07615631818771362},{"id":"https://openalex.org/keywords/step-response","display_name":"Step response","score":0.05999785661697388}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7450302839279175},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7057089805603027},{"id":"https://openalex.org/C14781684","wikidata":"https://www.wikidata.org/wiki/Q3983320","display_name":"Settling time","level":3,"score":0.6508015394210815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6416723728179932},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5614632368087769},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46727311611175537},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4140041172504425},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28073441982269287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2661460041999817},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.16916003823280334},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07615631818771362},{"id":"https://openalex.org/C160030872","wikidata":"https://www.wikidata.org/wiki/Q2142864","display_name":"Step response","level":2,"score":0.05999785661697388},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14050951","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14050951","pdf_url":"https://www.mdpi.com/2073-8994/14/5/951/pdf?version=1651907683","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:242127ea10fc4969beb3bb48a62c6ea0","is_oa":true,"landing_page_url":"https://doaj.org/article/242127ea10fc4969beb3bb48a62c6ea0","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":"Symmetry, Vol 14, Iss 5, p 951 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/5/951/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14050951","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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14050951","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14050951","pdf_url":"https://www.mdpi.com/2073-8994/14/5/951/pdf?version=1651907683","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G194119647","display_name":null,"funder_award_id":"2020JJ3029","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G923195781","display_name":null,"funder_award_id":"2019JJ50490","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4229373066.pdf"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1604468403","https://openalex.org/W1929567265","https://openalex.org/W1978048454","https://openalex.org/W1979852947","https://openalex.org/W1984220105","https://openalex.org/W1997637758","https://openalex.org/W2001018770","https://openalex.org/W2013873232","https://openalex.org/W2015113370","https://openalex.org/W2021766626","https://openalex.org/W2025226332","https://openalex.org/W2069390847","https://openalex.org/W2072675934","https://openalex.org/W2081999679","https://openalex.org/W2086393834","https://openalex.org/W2111543721","https://openalex.org/W2114081607","https://openalex.org/W2132723283","https://openalex.org/W2134759932","https://openalex.org/W2145644212","https://openalex.org/W2147507929","https://openalex.org/W2167476310","https://openalex.org/W2268895077","https://openalex.org/W2326132599","https://openalex.org/W2518948935","https://openalex.org/W2587797689","https://openalex.org/W2591509716","https://openalex.org/W2603397170","https://openalex.org/W2746720408","https://openalex.org/W2766467892","https://openalex.org/W2790773388","https://openalex.org/W3020026885","https://openalex.org/W3124160627","https://openalex.org/W3129119038","https://openalex.org/W4214857909","https://openalex.org/W4293078920","https://openalex.org/W6680033616","https://openalex.org/W6790354064"],"related_works":["https://openalex.org/W3151916380","https://openalex.org/W1892888752","https://openalex.org/W2385412102","https://openalex.org/W2353355202","https://openalex.org/W2150442046","https://openalex.org/W1562902118","https://openalex.org/W2886869858","https://openalex.org/W2392442938","https://openalex.org/W2048727068","https://openalex.org/W2771006323"],"abstract_inverted_index":{"The":[0,52],"synchronous":[1],"genetic":[2,46],"regulatory":[3,47],"networks":[4,48],"model":[5,26,44,60,84],"includes":[6],"the":[7,14,28,58,69,73,82,97,106,111,120,129,135,146,149],"drive":[8],"system":[9,16],"and":[10,13,38,68,96,142],"response":[11],"system,":[12],"drive-response":[15],"is":[17,61],"symmetric.":[18],"From":[19],"a":[20,43,77],"biological":[21],"point":[22],"of":[23,36,45,57,91,114,134,148],"view,":[24],"this":[25],"illustrates":[27],"dynamic":[29],"behaviors":[30],"in":[31,34],"gene-to-protein":[32],"processes,":[33],"terms":[35],"transcription":[37],"translation.":[39],"This":[40],"paper":[41],"introduces":[42],"with":[49],"time":[50],"delay.":[51],"fixed-time":[53,65,107,115],"synchronization":[54,108,116],"control":[55],"problem":[56],"proposed":[59],"studied":[62],"based":[63],"on":[64,128],"stability":[66],"theory":[67],"Lyapunov":[70],"method.":[71],"Concretely,":[72],"authors":[74],"first":[75],"propose":[76],"way":[78],"to":[79,85,104,144],"switch":[80],"from":[81],"given":[83],"matrix":[86],"form.":[87],"Then,":[88],"two":[89],"types":[90],"novel":[92],"controllers":[93],"are":[94,101,117,125,140],"designed":[95],"corresponding":[98],"sufficient":[99],"conditions":[100],"investigated":[102],"respectively":[103],"ensure":[105],"goal.":[109],"Moreover,":[110],"settling":[112],"times":[113],"estimated":[118],"for":[119],"addressed":[121],"discontinuous":[122],"controllers,":[123],"which":[124],"not":[126],"dependent":[127],"initial":[130],"or":[131],"delayed":[132],"states":[133],"model.":[136],"Finally,":[137],"numerical":[138],"simulations":[139],"presented":[141],"compared":[143],"illustrate":[145],"benefits":[147],"theoretical":[150],"results.":[151]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}