{"id":"https://openalex.org/W4312187339","doi":"https://doi.org/10.3390/axioms12010009","title":"A PDE Model Approach to Formation Control of Large-Scale Mobile Sensor Networks with Boundary Uncertainties","display_name":"A PDE Model Approach to Formation Control of Large-Scale Mobile Sensor Networks with Boundary Uncertainties","publication_year":2022,"publication_date":"2022-12-22","ids":{"openalex":"https://openalex.org/W4312187339","doi":"https://doi.org/10.3390/axioms12010009"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12010009","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12010009","pdf_url":"https://www.mdpi.com/2075-1680/12/1/9/pdf?version=1671699419","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/2075-1680/12/1/9/pdf?version=1671699419","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015173521","display_name":"Xueming Qian","orcid":"https://orcid.org/0000-0002-9095-5569"},"institutions":[{"id":"https://openalex.org/I4387152958","display_name":"Wuxi Vocational College of Science and Technology","ror":"https://ror.org/00y0p0f23","country_code":null,"type":"education","lineage":["https://openalex.org/I4387152958"]},{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]},{"id":"https://openalex.org/I4210132399","display_name":"Wuxi Vocational Institute of Commerce","ror":"https://ror.org/03bdrtb23","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210132399"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xueming Qian","raw_affiliation_strings":["School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China","School of Internet of Things, Wuxi Vocational College of Science and Technology, Wuxi 214028, China"],"affiliations":[{"raw_affiliation_string":"School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China","institution_ids":["https://openalex.org/I111599522"]},{"raw_affiliation_string":"School of Internet of Things, Wuxi Vocational College of Science and Technology, Wuxi 214028, China","institution_ids":["https://openalex.org/I4210132399","https://openalex.org/I4387152958"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086306666","display_name":"Baotong Cui","orcid":"https://orcid.org/0000-0001-7367-1145"},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baotong Cui","raw_affiliation_strings":["School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China"],"affiliations":[{"raw_affiliation_string":"School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China","institution_ids":["https://openalex.org/I111599522"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015173521"],"corresponding_institution_ids":["https://openalex.org/I111599522","https://openalex.org/I4210132399","https://openalex.org/I4387152958"],"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":0.16221345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"1","first_page":"9","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9984999895095825,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9984999895095825,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9760000109672546,"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/computer-science","display_name":"Computer science","score":0.6110594868659973},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6053858399391174},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5272387862205505},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4789374768733978},{"id":"https://openalex.org/keywords/wireless-sensor-network","display_name":"Wireless sensor network","score":0.473625123500824},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4491439461708069},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44079646468162537},{"id":"https://openalex.org/keywords/mobile-telephony","display_name":"Mobile telephony","score":0.4161864221096039},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3984873592853546},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3894349932670593},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.354965478181839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.253562867641449},{"id":"https://openalex.org/keywords/mobile-radio","display_name":"Mobile radio","score":0.25062644481658936},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1799878180027008},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.15186238288879395},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14606797695159912},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07443797588348389}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6110594868659973},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6053858399391174},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5272387862205505},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4789374768733978},{"id":"https://openalex.org/C24590314","wikidata":"https://www.wikidata.org/wiki/Q336038","display_name":"Wireless sensor network","level":2,"score":0.473625123500824},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4491439461708069},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44079646468162537},{"id":"https://openalex.org/C95491727","wikidata":"https://www.wikidata.org/wiki/Q992968","display_name":"Mobile telephony","level":3,"score":0.4161864221096039},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3984873592853546},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3894349932670593},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.354965478181839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.253562867641449},{"id":"https://openalex.org/C2781307350","wikidata":"https://www.wikidata.org/wiki/Q6887221","display_name":"Mobile radio","level":2,"score":0.25062644481658936},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1799878180027008},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.15186238288879395},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14606797695159912},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07443797588348389},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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":3,"locations":[{"id":"doi:10.3390/axioms12010009","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12010009","pdf_url":"https://www.mdpi.com/2075-1680/12/1/9/pdf?version=1671699419","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:c96bcb96b28946deac368f9561a5574c","is_oa":true,"landing_page_url":"https://doaj.org/article/c96bcb96b28946deac368f9561a5574c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 1, p 9 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/1/9/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12010009","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 1; Pages: 9","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12010009","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12010009","pdf_url":"https://www.mdpi.com/2075-1680/12/1/9/pdf?version=1671699419","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312187339.pdf","grobid_xml":"https://content.openalex.org/works/W4312187339.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W2067039683","https://openalex.org/W2546480830","https://openalex.org/W3161249848","https://openalex.org/W3165609254","https://openalex.org/W3206916256"],"related_works":["https://openalex.org/W1975451135","https://openalex.org/W3148968234","https://openalex.org/W2890570089","https://openalex.org/W2989915292","https://openalex.org/W2295628284","https://openalex.org/W145760256","https://openalex.org/W2028086369","https://openalex.org/W2123841989","https://openalex.org/W2129477171","https://openalex.org/W2133690079"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,18,28,57,66,71,77,99,111,114],"formation":[4,72,96],"problem":[5,97],"of":[6,9,20,39,60,113],"an":[7],"array":[8],"large-scale":[10,61,100],"mobile":[11,21,62,67,101],"sensor":[12,63,102],"networks.":[13,103],"A":[14],"new":[15,88],"framework":[16],"for":[17,98],"dynamic":[19],"sensors":[22,68],"as":[23],"a":[24,42,54,83,87,95],"continuum":[25],"described":[26],"by":[27],"parabolic":[29],"system":[30],"with":[31,94],"boundary":[32,58,84],"disturbance":[33],"is":[34,41,90],"proposed.":[35],"The":[36],"communication":[37],"topology":[38],"agents":[40],"chain":[43],"graph":[44],"and":[45,81],"fixed.":[46],"Leader":[47],"feedback":[48],"laws":[49],"which":[50],"are":[51,107],"designed":[52],"in":[53],"manner":[55],"to":[56,69,76,92,109],"control":[59,85],"networks":[64],"allow":[65],"achieve":[70],"steadily.":[73],"By":[74],"referring":[75],"Lyapunov":[78],"functional":[79],"method":[80],"employing":[82],"approach,":[86],"protocol":[89],"established":[91],"deal":[93],"Finally,":[104],"numerical":[105],"examples":[106],"given":[108],"illustrate":[110],"usefulness":[112],"results.":[115]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
