{"id":"https://openalex.org/W4410491750","doi":"https://doi.org/10.1109/tnnls.2025.3559207","title":"Robust Controllability of Boolean Control Networks via Dynamic Programming","display_name":"Robust Controllability of Boolean Control Networks via Dynamic Programming","publication_year":2025,"publication_date":"2025-05-19","ids":{"openalex":"https://openalex.org/W4410491750","doi":"https://doi.org/10.1109/tnnls.2025.3559207","pmid":"https://pubmed.ncbi.nlm.nih.gov/40388283"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2025.3559207","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2025.3559207","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5001708757","display_name":"Yakun Li","orcid":"https://orcid.org/0000-0001-5635-5554"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yakun Li","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0001-5635-5554","affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064437242","display_name":"Shuhua Gao","orcid":"https://orcid.org/0000-0003-3208-9620"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuhua Gao","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0003-3208-9620","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101209570","display_name":"Yiming Gao","orcid":"https://orcid.org/0000-0002-1086-4692"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yiming Gao","raw_affiliation_strings":["School of Computer Science and Engineering, Nanyang Technological University, Jurong West, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Nanyang Technological University, Jurong West, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101789536","display_name":"Jianliang Wu","orcid":"https://orcid.org/0000-0003-0422-6915"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianliang Wu","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0003-0422-6915","affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052677494","display_name":"Jun\u2010e Feng","orcid":"https://orcid.org/0000-0003-3881-3042"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun-e Feng","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0003-3881-3042","affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100441913","display_name":"Cheng Xiang","orcid":"https://orcid.org/0000-0002-1229-6860"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Cheng Xiang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Queenstown, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-1229-6860","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Queenstown, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5001708757"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":2.8454,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.90359057,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"36","issue":"9","first_page":"17448","last_page":"17461"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9944000244140625,"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":0.9944000244140625,"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/T10142","display_name":"Formal Methods in Verification","score":0.9721999764442444,"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/T11178","display_name":"Receptor Mechanisms and Signaling","score":0.9714999794960022,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.8941253423690796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6137643456459045},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5099362134933472},{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.46853700280189514},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.4466696083545685},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32539159059524536},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.3238326907157898},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2912983298301697},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21515148878097534},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1862470805644989},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.05775013566017151}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8941253423690796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6137643456459045},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5099362134933472},{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.46853700280189514},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.4466696083545685},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32539159059524536},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.3238326907157898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2912983298301697},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21515148878097534},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1862470805644989},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.05775013566017151}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2025.3559207","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2025.3559207","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:40388283","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40388283","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1384044068","display_name":null,"funder_award_id":"62303277","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5358241852","display_name":null,"funder_award_id":"11971270","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7195810159","display_name":null,"funder_award_id":"tsqn202306067","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8718860373","display_name":null,"funder_award_id":"11631014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1971224531","https://openalex.org/W1991720013","https://openalex.org/W1998356614","https://openalex.org/W2007581236","https://openalex.org/W2041443351","https://openalex.org/W2042431901","https://openalex.org/W2046538693","https://openalex.org/W2053367939","https://openalex.org/W2062533676","https://openalex.org/W2077895748","https://openalex.org/W2114518254","https://openalex.org/W2136433622","https://openalex.org/W2146009166","https://openalex.org/W2150074282","https://openalex.org/W2599951165","https://openalex.org/W2612063052","https://openalex.org/W2638209134","https://openalex.org/W2746087147","https://openalex.org/W2799280827","https://openalex.org/W2810218660","https://openalex.org/W2903292179","https://openalex.org/W2908085664","https://openalex.org/W2980499286","https://openalex.org/W2981080244","https://openalex.org/W2997831639","https://openalex.org/W3085312116","https://openalex.org/W3092210754","https://openalex.org/W3180970831","https://openalex.org/W3181363992","https://openalex.org/W3190228469","https://openalex.org/W3196371770","https://openalex.org/W4210304103","https://openalex.org/W4224254857","https://openalex.org/W4285263112","https://openalex.org/W4288064578","https://openalex.org/W4288391217","https://openalex.org/W4297792233","https://openalex.org/W4298064611","https://openalex.org/W4300861298","https://openalex.org/W4313561955","https://openalex.org/W4386234117","https://openalex.org/W4389722627","https://openalex.org/W4393142749","https://openalex.org/W4393864333","https://openalex.org/W4396609072","https://openalex.org/W4399836147","https://openalex.org/W4401415746"],"related_works":["https://openalex.org/W2075126249","https://openalex.org/W2105128170","https://openalex.org/W2918709778","https://openalex.org/W1991822629","https://openalex.org/W3141532631","https://openalex.org/W52722086","https://openalex.org/W2495550620","https://openalex.org/W2995277268","https://openalex.org/W2558644562","https://openalex.org/W2011175857"],"abstract_inverted_index":{"This":[0],"article":[1],"presents":[2],"a":[3,38,50,65,138],"novel":[4],"dynamic":[5,52,150],"programming":[6,53,151],"approach":[7,152],"to":[8,19,55,100,108],"determine":[9],"the":[10,29,34,57,82,102,105,109,123,126,146],"robust":[11,42,75],"controllability":[12,76],"of":[13,90,113,125,148,155],"Boolean":[14],"control":[15,98],"networks":[16,121],"(BCNs)":[17],"subject":[18],"stochastic":[20],"disturbances.":[21,114],"By":[22],"applying":[23],"Bellman's":[24],"optimality":[25],"principle,":[26],"we":[27,93,136],"derive":[28],"recurrence":[30],"relation":[31],"for":[32,74,87],"computing":[33],"optimal":[35,58,83],"time":[36,59,84],"matrix,":[37],"crucial":[39],"concept":[40],"characterizing":[41],"reachability":[43],"between":[44],"two":[45],"arbitrary":[46],"states.":[47],"We":[48],"develop":[49],"finite-termination":[51],"algorithm":[54,140],"calculate":[56],"matrix":[60],"exactly":[61],"and":[62,71,141,158],"efficiently,":[63],"with":[64,119],"rigorously":[66],"certified":[67],"iteration":[68],"count.":[69],"Sufficient":[70],"necessary":[72],"conditions":[73],"are":[77],"then":[78],"established":[79],"based":[80],"on":[81],"matrix.":[85],"Furthermore,":[86],"any":[88],"pair":[89],"reachable":[91],"states,":[92],"construct":[94],"time-optimal":[95],"state":[96,107],"feedback":[97],"laws":[99],"steer":[101],"system":[103],"from":[104],"initial":[106],"target":[110],"state,":[111],"regardless":[112],"Finally,":[115],"extensive":[116],"numerical":[117],"experiments":[118],"biological":[120],"validate":[122],"effectiveness":[124],"proposed":[127],"approach,":[128],"showing":[129],"significant":[130],"improvements":[131],"in":[132,153],"computational":[133],"efficiency.":[134],"Additionally,":[135],"introduce":[137],"Q-learning-based":[139],"compare":[142],"its":[143],"performance,":[144],"highlighting":[145],"advantages":[147],"our":[149],"terms":[154],"both":[156],"efficiency":[157],"solution":[159],"quality.":[160]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
