{"id":"https://openalex.org/W2125060080","doi":"https://doi.org/10.1109/cec.2007.4424944","title":"On the robustness analysis of nonlinear systems subject to time-invariant and/or time-varying uncertainty","display_name":"On the robustness analysis of nonlinear systems subject to time-invariant and/or time-varying uncertainty","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W2125060080","doi":"https://doi.org/10.1109/cec.2007.4424944","mag":"2125060080"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2007.4424944","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2007.4424944","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Congress on Evolutionary Computation","raw_type":"proceedings-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/A5077819322","display_name":"Declan G. Bates","orcid":"https://orcid.org/0000-0003-1395-9846"},"institutions":[{"id":"https://openalex.org/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Declan G. Bates","raw_affiliation_strings":["Control & Instrumentation Research Group Department of Engineering, University of Leicester, Leicester, UK","Leicester University, Leicester#TAB#"],"affiliations":[{"raw_affiliation_string":"Control & Instrumentation Research Group Department of Engineering, University of Leicester, Leicester, UK","institution_ids":["https://openalex.org/I153648349"]},{"raw_affiliation_string":"Leicester University, Leicester#TAB#","institution_ids":["https://openalex.org/I153648349"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047934020","display_name":"Sajjad Fekri","orcid":null},"institutions":[{"id":"https://openalex.org/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Sajjad Fekri","raw_affiliation_strings":["Control & Instrumentation Research Group Department of Engineering, University of Leicester, Leicester, UK","Leicester University, Leicester#TAB#"],"affiliations":[{"raw_affiliation_string":"Control & Instrumentation Research Group Department of Engineering, University of Leicester, Leicester, UK","institution_ids":["https://openalex.org/I153648349"]},{"raw_affiliation_string":"Leicester University, Leicester#TAB#","institution_ids":["https://openalex.org/I153648349"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008259779","display_name":"Prathyush P. Menon","orcid":"https://orcid.org/0000-0003-3804-9291"},"institutions":[{"id":"https://openalex.org/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Prathyush P. Menon","raw_affiliation_strings":["Control & Instrumentation Research Group Department of Engineering, University of Leicester, Leicester, UK","Leicester University, Leicester#TAB#"],"affiliations":[{"raw_affiliation_string":"Control & Instrumentation Research Group Department of Engineering, University of Leicester, Leicester, UK","institution_ids":["https://openalex.org/I153648349"]},{"raw_affiliation_string":"Leicester University, Leicester#TAB#","institution_ids":["https://openalex.org/I153648349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007050558","display_name":"Ian Postlethwaite","orcid":"https://orcid.org/0000-0002-0267-1831"},"institutions":[{"id":"https://openalex.org/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ian Postlethwaite","raw_affiliation_strings":["Control & Instrumentation Research Group Department of Engineering, University of Leicester, Leicester, UK","Leicester University, Leicester#TAB#"],"affiliations":[{"raw_affiliation_string":"Control & Instrumentation Research Group Department of Engineering, University of Leicester, Leicester, UK","institution_ids":["https://openalex.org/I153648349"]},{"raw_affiliation_string":"Leicester University, Leicester#TAB#","institution_ids":["https://openalex.org/I153648349"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5077819322"],"corresponding_institution_ids":["https://openalex.org/I153648349"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10155435,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":null,"first_page":"3639","last_page":"3645"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9994000196456909,"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/T11236","display_name":"Control Systems and Identification","score":0.9994000196456909,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9991000294685364,"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/T10046","display_name":"Stability and Control of Uncertain 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"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.707878589630127},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6302716732025146},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5479070544242859},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.543426513671875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5403125882148743},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5335851907730103},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48287275433540344},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.48043012619018555},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42328715324401855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3940490782260895},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3885045051574707},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3195560574531555},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20751270651817322}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.707878589630127},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6302716732025146},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5479070544242859},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.543426513671875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5403125882148743},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5335851907730103},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48287275433540344},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.48043012619018555},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42328715324401855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3940490782260895},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3885045051574707},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3195560574531555},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20751270651817322},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cec.2007.4424944","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2007.4424944","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Congress on Evolutionary Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:nrl.northumbria.ac.uk:10356","is_oa":false,"landing_page_url":"http://nrl.northumbria.ac.uk/10356/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401884","display_name":"Northumbria Research Link (Northumbria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32394136","host_organization_name":"Northumbria University","host_organization_lineage":["https://openalex.org/I32394136"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1489960298","https://openalex.org/W1537654242","https://openalex.org/W1564382985","https://openalex.org/W1613952546","https://openalex.org/W1639032689","https://openalex.org/W1948872058","https://openalex.org/W2004470537","https://openalex.org/W2014436961","https://openalex.org/W2015156650","https://openalex.org/W2024031867","https://openalex.org/W2047750893","https://openalex.org/W2094399770","https://openalex.org/W2097944741","https://openalex.org/W2108380954","https://openalex.org/W2255439832","https://openalex.org/W2322452201","https://openalex.org/W2564812645","https://openalex.org/W3023540311","https://openalex.org/W3201182840","https://openalex.org/W6629326353","https://openalex.org/W6633556585","https://openalex.org/W6662555848","https://openalex.org/W6674241145"],"related_works":["https://openalex.org/W2519438323","https://openalex.org/W1980376593","https://openalex.org/W2053005959","https://openalex.org/W2144143333","https://openalex.org/W2299538996","https://openalex.org/W2027136373","https://openalex.org/W4386631510","https://openalex.org/W2276636510","https://openalex.org/W2105658174","https://openalex.org/W3163145068"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2],"novel":[3],"approach":[4,24,97],"for":[5,14,34],"computing":[6],"lower":[7,62],"bounds":[8,63,73],"on":[9],"robust":[10],"stability":[11],"or":[12],"performance":[13],"nonlinear":[15],"systems":[16],"subject":[17],"to":[18,40,46,67],"time-invariant":[19],"and/or":[20],"time-varying":[21,57],"uncertainty.":[22],"The":[23,60,92],"exploits":[25],"the":[26,42,53,69,79,87,95],"binary":[27],"coding":[28],"mechanism":[29],"used":[30,66],"in":[31,38],"defining":[32],"chromosomes":[33],"evolutionary":[35],"search":[36],"algorithms,":[37],"order":[39],"allow":[41],"uncertain":[43,58],"parameter":[44],"space":[45],"be":[47,65],"searched":[48],"over":[49],"time,":[50],"thus":[51],"allowing":[52],"computation":[54],"of":[55,71,86,94],"destabilising":[56],"parameters.":[59],"resulting":[61],"can":[64],"check":[68],"conservatism":[70],"upper":[72],"computed":[74],"using":[75],"tools":[76],"such":[77],"as":[78],"Popov":[80],"Criterion,":[81],"IQC's":[82],"and":[83],"various":[84],"extensions":[85],"structured":[88],"singular":[89],"value":[90],"theory.":[91],"usefulness":[93],"proposed":[96],"is":[98],"illustrated":[99],"via":[100],"an":[101],"example.":[102]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}