{"id":"https://openalex.org/W2025725882","doi":"https://doi.org/10.1093/imamci/dns003","title":"On the Lyapunov-based second-order SMC design for some classes of distributed parameter systems","display_name":"On the Lyapunov-based second-order SMC design for some classes of distributed parameter systems","publication_year":2012,"publication_date":"2012-02-29","ids":{"openalex":"https://openalex.org/W2025725882","doi":"https://doi.org/10.1093/imamci/dns003","mag":"2025725882"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dns003","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311647","https://openalex.org/P4310311648"],"host_organization_lineage_names":["University of Oxford","Oxford University Press"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5039781735","display_name":"Yury Orlov","orcid":"https://orcid.org/0000-0001-9114-0436"},"institutions":[{"id":"https://openalex.org/I64663401","display_name":"Center for Scientific Research and Higher Education at Ensenada","ror":"https://ror.org/04znhwb73","country_code":"MX","type":"facility","lineage":["https://openalex.org/I64663401"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Y. Orlov","raw_affiliation_strings":["CICESE Research Center, Ensenada, Mexico"],"affiliations":[{"raw_affiliation_string":"CICESE Research Center, Ensenada, Mexico","institution_ids":["https://openalex.org/I64663401"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025350316","display_name":"Alessandro Pisano","orcid":"https://orcid.org/0000-0003-2774-626X"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Pisano","raw_affiliation_strings":["Dept. of Electrical and Electronic Engineering, Univ. of Cagliari, Cagliari, Italy"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Electronic Engineering, Univ. of Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030810529","display_name":"Stefano Scodina","orcid":null},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. Scodina","raw_affiliation_strings":["Dept. of Electrical and Electronic Engineering, Univ. of Cagliari, Cagliari, Italy"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Electronic Engineering, Univ. of Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024501823","display_name":"Elio Usai","orcid":"https://orcid.org/0000-0001-6338-2593"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"E. Usai","raw_affiliation_strings":["Dept. of Electrical and Electronic Engineering, Univ. of Cagliari, Cagliari, Italy"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Electronic Engineering, Univ. of Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167,"provenance":"doaj"},"apc_paid":null,"fwci":0.561,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":9,"citation_normalized_percentile":{"value":0.885424,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":84,"max":85},"biblio":{"volume":"29","issue":"4","first_page":"437","last_page":"457"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9996,"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":0.9996,"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":0.9991,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9988,"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":[],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.70479345},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6273773},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6112},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5445242},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.48263437},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.47254682},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3516839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3372854},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3278402},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15610826},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14321306},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08046979},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.079983056},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06232372},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.046818286},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dns003","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311647","https://openalex.org/P4310311648"],"host_organization_lineage_names":["University of Oxford","Oxford University Press"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.54,"display_name":"Affordable and clean energy"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":21,"referenced_works":["https://openalex.org/W1498121547","https://openalex.org/W1516289514","https://openalex.org/W1519488445","https://openalex.org/W1592648094","https://openalex.org/W1999558720","https://openalex.org/W2000965646","https://openalex.org/W2004261230","https://openalex.org/W2018851823","https://openalex.org/W2052883072","https://openalex.org/W2072858900","https://openalex.org/W2078746189","https://openalex.org/W2095117584","https://openalex.org/W2110954778","https://openalex.org/W2132167109","https://openalex.org/W2152541396","https://openalex.org/W2154892481","https://openalex.org/W2155312662","https://openalex.org/W2160788529","https://openalex.org/W2259424938","https://openalex.org/W2313299119","https://openalex.org/W889514045"],"related_works":["https://openalex.org/W3194517843","https://openalex.org/W2534107666","https://openalex.org/W2383986032","https://openalex.org/W2374426356","https://openalex.org/W2349796700","https://openalex.org/W2210722882","https://openalex.org/W2164487476","https://openalex.org/W2121515234","https://openalex.org/W2059628530","https://openalex.org/W1977987201"],"abstract_inverted_index":{"This":[0],"paper":[1,132],"addresses":[2],"the":[3,12,20,25,54,76,94,116,121,131,134,145],"Lyapunov-based":[4,106],"design":[5],"of":[6,14,22,36,53,75,97,108,129],"second-order":[7,98],"sliding":[8,99],"mode":[9,100],"controllers":[10],"in":[11,115,125],"domain":[13],"distributed":[15,59],"parameter":[16],"systems":[17],"(DPSs).":[18],"To":[19],"best":[21],"our":[23],"knowledge,":[24],"recent":[26],"authors\u2019":[27],"publications":[28],"(Orlov":[29],"et":[30,48,70],"al.,":[31,49,71],"2010,":[32],"Continuous":[33],"state-feedback":[34],"tracking":[35],"an":[37],"uncertain":[38,55,77],"heat":[39,78],"diffusion":[40],"process.":[41],"Syst.":[42],"Control":[43,89],"Lett.,":[44],"59,":[45],"754\u2013759;":[46],"Orlov":[47],"2011,":[50,72],"Exponential":[51],"stabilization":[52],"wave":[56,80],"equation":[57,81],"via":[58,82],"dynamic":[60],"input":[61],"extension.":[62],"IEEE":[63],"Trans.":[64],"Autom.":[65],"Control,":[66],"56,":[67],"212\u2013217;":[68],"Pisano":[69],"Tracking":[73],"control":[74,101],"and":[79,84,138,142],"power-fractional":[83],"sliding-mode":[85],"techniques.":[86],"SIAM":[87],"J.":[88],"Optim.,":[90],"49,":[91],"363\u2013382)":[92],"represent":[93],"seminal":[95],"applications":[96],"techniques":[102],"to":[103,112],"DPSs.":[104],"A":[105],"framework":[107],"analysis":[109],"was":[110],"found":[111],"be":[113],"appropriate":[114],"above":[117],"publications.":[118],"While":[119],"reviewing":[120],"main":[122],"existing":[123],"results":[124],"this":[126],"new":[127],"field":[128],"investigation,":[130],"provides":[133],"novelty":[135],"as":[136],"well":[137],"gives":[139],"several":[140],"hints":[141],"perspectives":[143],"for":[144],"generalization,":[146],"listing":[147],"some":[148],"open":[149],"problems.":[150]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2025725882","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2024-12-14T03:29:28.187189","created_date":"2016-06-24"}