{"id":"https://openalex.org/W2023734213","doi":"https://doi.org/10.1109/icca.2013.6565019","title":"Estimating stable delay interval using discretized Lyapunov-Krasovskii functional method","display_name":"Estimating stable delay interval using discretized Lyapunov-Krasovskii functional method","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2023734213","doi":"https://doi.org/10.1109/icca.2013.6565019","mag":"2023734213"},"language":"en","primary_location":{"id":"doi:10.1109/icca.2013.6565019","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icca.2013.6565019","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 10th IEEE International Conference on Control and Automation (ICCA)","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/A5005447276","display_name":"Yongmin Li","orcid":"https://orcid.org/0000-0003-1668-2440"},"institutions":[{"id":"https://openalex.org/I3018263800","display_name":"Huzhou University","ror":"https://ror.org/04mvpxy20","country_code":"CN","type":"education","lineage":["https://openalex.org/I3018263800"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yongmin Li","raw_affiliation_strings":["School of Science, Huzhou Teachers College, Huzhou, Zhejiang, China","Sch. of Sci., Huzhou Teachers Coll., Huzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Huzhou Teachers College, Huzhou, Zhejiang, China","institution_ids":["https://openalex.org/I3018263800"]},{"raw_affiliation_string":"Sch. of Sci., Huzhou Teachers Coll., Huzhou, China","institution_ids":["https://openalex.org/I3018263800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086584348","display_name":"Keqin Gu","orcid":"https://orcid.org/0000-0003-2587-4284"},"institutions":[{"id":"https://openalex.org/I87547150","display_name":"Southern Illinois University Edwardsville","ror":"https://ror.org/04cqs5j56","country_code":"US","type":"education","lineage":["https://openalex.org/I2801502357","https://openalex.org/I87547150"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Keqin Gu","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL, USA","Dept. of Mech. & Ind. Eng., Southern Illinois Univ. Edwardsville, Edwardsville, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL, USA","institution_ids":["https://openalex.org/I87547150"]},{"raw_affiliation_string":"Dept. of Mech. & Ind. Eng., Southern Illinois Univ. Edwardsville, Edwardsville, IL, USA","institution_ids":["https://openalex.org/I87547150"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100363679","display_name":"Shengyuan Xu","orcid":"https://orcid.org/0000-0002-3015-0662"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengyuan Xu","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, China","School of Automation, Nanjing University of Science and Technology, NanJing, China#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, NanJing, China#TAB#","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005447276"],"corresponding_institution_ids":["https://openalex.org/I3018263800"],"apc_list":null,"apc_paid":null,"fwci":0.505,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.71802772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2012","issue":null,"first_page":"21","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9984999895095825,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9984999895095825,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.998199999332428,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.749585747718811},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7221270799636841},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6721921563148499},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6240704655647278},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.617542564868927},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.6101905703544617},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4751013517379761},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4681183695793152},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.44956088066101074},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.43108054995536804},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38758236169815063},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2670990824699402},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14871105551719666},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07080000638961792}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.749585747718811},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7221270799636841},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6721921563148499},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6240704655647278},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.617542564868927},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.6101905703544617},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4751013517379761},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4681183695793152},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.44956088066101074},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.43108054995536804},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38758236169815063},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2670990824699402},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14871105551719666},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07080000638961792},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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":1,"locations":[{"id":"doi:10.1109/icca.2013.6565019","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icca.2013.6565019","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 10th IEEE International Conference on Control and Automation (ICCA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W188866077","https://openalex.org/W1506119886","https://openalex.org/W1965593229","https://openalex.org/W1982830050","https://openalex.org/W1983166994","https://openalex.org/W1995007479","https://openalex.org/W1999362577","https://openalex.org/W2002045670","https://openalex.org/W2012923362","https://openalex.org/W2019691104","https://openalex.org/W2047017331","https://openalex.org/W2062210472","https://openalex.org/W2088884782","https://openalex.org/W2097280120","https://openalex.org/W2129980366","https://openalex.org/W2155879010","https://openalex.org/W2162523720","https://openalex.org/W2165333442","https://openalex.org/W2473574054","https://openalex.org/W2522123876","https://openalex.org/W3210839039","https://openalex.org/W4211202937","https://openalex.org/W4231563473","https://openalex.org/W4285719527","https://openalex.org/W4293087381","https://openalex.org/W6684459067","https://openalex.org/W6726521486"],"related_works":["https://openalex.org/W2381165205","https://openalex.org/W3096320284","https://openalex.org/W2350063940","https://openalex.org/W2210722882","https://openalex.org/W2009168760","https://openalex.org/W1495650726","https://openalex.org/W2963043651","https://openalex.org/W2057820893","https://openalex.org/W3201910001","https://openalex.org/W170012745"],"abstract_inverted_index":{"The":[0,61,91],"discretized":[1],"Lyapunov-Krasovskii":[2],"functional":[3],"(DLF)":[4],"method":[5,39],"is":[6,27,40,59],"asymptotically":[7],"accurate":[8],"in":[9,56,84],"stability":[10],"analysis":[11],"for":[12],"time-delay":[13],"systems.":[14,33],"In":[15,34],"general,":[16],"a":[17,37],"system":[18],"may":[19,75],"have":[20],"multiple":[21],"stable":[22,47],"delay":[23,48],"intervals,":[24],"and":[25,73],"DLF":[26],"especially":[28],"effective":[29],"to":[30,42,78,97,108],"study":[31],"such":[32],"this":[35,57],"article,":[36],"DLF-based":[38],"proposed":[41],"accurately":[43],"estimate":[44],"the":[45,80,99,102],"maximum":[46],"interval":[49,58],"without":[50],"using":[51],"bisection,":[52],"when":[53],"one":[54],"point":[55],"given.":[60],"formulation":[62],"uses":[63],"generalized":[64],"eigenvalue":[65],"problem":[66],"(GEVP)":[67],"of":[68,87],"linear":[69],"matrix":[70],"inequalities":[71],"(LMIs),":[72],"iterations":[74],"be":[76,105],"used":[77,96],"reach":[79],"analytical":[81],"limits":[82],"either":[83],"finite":[85],"number":[86],"steps":[88],"or":[89],"asymptotically.":[90],"coupled":[92],"differential-difference":[93,110],"equations":[94],"are":[95],"illustrate":[98],"method.":[100],"However,":[101],"idea":[103],"can":[104],"easily":[106],"adapted":[107],"traditional":[109],"equation":[111],"setting.":[112]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
