{"id":"https://openalex.org/W7143009062","doi":"https://doi.org/10.1016/j.cnsns.2026.109995","title":"A unified Lyapunov framework for stability of nonlinear distributed-order systems in continuous and discrete domains","display_name":"A unified Lyapunov framework for stability of nonlinear distributed-order systems in continuous and discrete domains","publication_year":2026,"publication_date":"2026-03-29","ids":{"openalex":"https://openalex.org/W7143009062","doi":"https://doi.org/10.1016/j.cnsns.2026.109995"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.109995","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109995","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-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/A5130898627","display_name":"Xiang Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]},{"id":"https://openalex.org/I4210167079","display_name":"Nano Carbon (Poland)","ror":"https://ror.org/05v34hx56","country_code":"PL","type":"company","lineage":["https://openalex.org/I4210167079"]}],"countries":["CN","PL"],"is_corresponding":false,"raw_author_name":"Xiang Wu","raw_affiliation_strings":["Chengdu FracLoong Carbon-Based Technology Company Limited, Chengdu, 610043, China","College of Computer Science, Sichuan University, Chengdu, 610065, China"],"raw_orcid":"https://orcid.org/0009-0008-8518-8351","affiliations":[{"raw_affiliation_string":"Chengdu FracLoong Carbon-Based Technology Company Limited, Chengdu, 610043, China","institution_ids":["https://openalex.org/I4210167079"]},{"raw_affiliation_string":"College of Computer Science, Sichuan University, Chengdu, 610065, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130882243","display_name":"Yi-Fei Pu","orcid":null},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]},{"id":"https://openalex.org/I4210167079","display_name":"Nano Carbon (Poland)","ror":"https://ror.org/05v34hx56","country_code":"PL","type":"company","lineage":["https://openalex.org/I4210167079"]}],"countries":["CN","PL"],"is_corresponding":true,"raw_author_name":"Yi-Fei Pu","raw_affiliation_strings":["Chengdu FracLoong Carbon-Based Technology Company Limited, Chengdu, 610043, China","College of Computer Science, Sichuan University, Chengdu, 610065, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chengdu FracLoong Carbon-Based Technology Company Limited, Chengdu, 610043, China","institution_ids":["https://openalex.org/I4210167079"]},{"raw_affiliation_string":"College of Computer Science, Sichuan University, Chengdu, 610065, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002324892","display_name":"Xujun Yang","orcid":"https://orcid.org/0000-0003-3937-0490"},"institutions":[{"id":"https://openalex.org/I63371133","display_name":"Chongqing Jiaotong University","ror":"https://ror.org/01t001k65","country_code":"CN","type":"education","lineage":["https://openalex.org/I63371133"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xujun Yang","raw_affiliation_strings":["Department of Mathematics, Key Laboratory of Complex Systems Optimization and Intelligent Control of Chongqing Municipal Education Commission, Chongqing Jiaotong University, Chongqing, 400074, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Key Laboratory of Complex Systems Optimization and Intelligent Control of Chongqing Municipal Education Commission, Chongqing Jiaotong University, Chongqing, 400074, China","institution_ids":["https://openalex.org/I63371133"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5130882243"],"corresponding_institution_ids":["https://openalex.org/I24185976","https://openalex.org/I4210167079"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33003098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"160","issue":null,"first_page":"109995","last_page":"109995"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.4903999865055084,"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":0.4903999865055084,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.1143999993801117,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.10300000011920929,"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/stability","display_name":"Stability (learning theory)","score":0.6276999711990356},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6132000088691711},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5034000277519226},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.412200003862381},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4043000042438507},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.3919000029563904},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.3098999857902527}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6276999711990356},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6132000088691711},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5662999749183655},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5034000277519226},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49630001187324524},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.412200003862381},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4043000042438507},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.3919000029563904},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3244999945163727},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.3098999857902527},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.3073999881744385},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.29159998893737793},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.2881999909877777},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27639999985694885},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.26669999957084656},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.26339998841285706},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.2624000012874603}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cnsns.2026.109995","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109995","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2562942393","display_name":null,"funder_award_id":"KJQN202400734","funder_id":"https://openalex.org/F4320324805","funder_display_name":"Chongqing Municipal Education Commission"},{"id":"https://openalex.org/G393958254","display_name":null,"funder_award_id":"62171303","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6790734633","display_name":null,"funder_award_id":"62573075","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"},{"id":"https://openalex.org/F4320324805","display_name":"Chongqing Municipal Education Commission","ror":"https://ror.org/031nm5713"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W200132056","https://openalex.org/W1571391776","https://openalex.org/W1982555805","https://openalex.org/W1993628045","https://openalex.org/W2004202105","https://openalex.org/W2006281429","https://openalex.org/W2012736024","https://openalex.org/W2020269083","https://openalex.org/W2030959812","https://openalex.org/W2033470589","https://openalex.org/W2079525922","https://openalex.org/W2083488564","https://openalex.org/W2339666693","https://openalex.org/W2474785193","https://openalex.org/W2560386485","https://openalex.org/W2575636982","https://openalex.org/W2582971624","https://openalex.org/W2617909844","https://openalex.org/W2771796485","https://openalex.org/W2803822641","https://openalex.org/W2947555167","https://openalex.org/W3021876766","https://openalex.org/W3026318415","https://openalex.org/W3039238353","https://openalex.org/W3047830835","https://openalex.org/W4200169737","https://openalex.org/W4290601465","https://openalex.org/W4319829728","https://openalex.org/W4366149119","https://openalex.org/W4385071422","https://openalex.org/W4388290091","https://openalex.org/W4390422170","https://openalex.org/W4400468014","https://openalex.org/W4403558520","https://openalex.org/W4405600828","https://openalex.org/W4411939960"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2026-03-30T00:00:00"}
