{"id":"https://openalex.org/W4313591372","doi":"https://doi.org/10.1109/icsc57768.2022.9993958","title":"Memory-Based Lyapunov Functions and Path-complete Framework: Equivalence and Properties","display_name":"Memory-Based Lyapunov Functions and Path-complete Framework: Equivalence and Properties","publication_year":2022,"publication_date":"2022-11-23","ids":{"openalex":"https://openalex.org/W4313591372","doi":"https://doi.org/10.1109/icsc57768.2022.9993958"},"language":"en","primary_location":{"id":"doi:10.1109/icsc57768.2022.9993958","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/icsc57768.2022.9993958","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 10th International Conference on Systems and Control (ICSC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2078.1/269034","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014892272","display_name":"Matteo Della Rossa","orcid":"https://orcid.org/0000-0002-5591-5748"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Matteo Della Rossa","raw_affiliation_strings":["ICTEAM, UCLouvain,Louvain-la-Neuve,Belgium","ICTEAM, UCLouvain, Louvain-la-Neuve, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTEAM, UCLouvain,Louvain-la-Neuve,Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"ICTEAM, UCLouvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056625594","display_name":"Rapha\u00ebl M. Jungers","orcid":"https://orcid.org/0000-0002-7789-0940"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Raphael M. Jungers","raw_affiliation_strings":["ICTEAM, UCLouvain,Louvain-la-Neuve,Belgium","ICTEAM, UCLouvain, Louvain-la-Neuve, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTEAM, UCLouvain,Louvain-la-Neuve,Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"ICTEAM, UCLouvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I95674353"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":null,"first_page":"12","last_page":"17"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9973000288009644,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9961000084877014,"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/equivalence","display_name":"Equivalence (formal languages)","score":0.7422112226486206},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6260500550270081},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.4943206310272217},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4821048080921173},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4751577079296112},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.46772515773773193},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4415058195590973},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.4252329468727112},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3690452575683594},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34979426860809326},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3173275291919708},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1533019244670868},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10993120074272156},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07890468835830688},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06158891320228577}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7422112226486206},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6260500550270081},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.4943206310272217},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4821048080921173},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4751577079296112},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.46772515773773193},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4415058195590973},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4252329468727112},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3690452575683594},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34979426860809326},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3173275291919708},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1533019244670868},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10993120074272156},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07890468835830688},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06158891320228577},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"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":2,"locations":[{"id":"doi:10.1109/icsc57768.2022.9993958","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/icsc57768.2022.9993958","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 10th International Conference on Systems and Control (ICSC)","raw_type":"proceedings-article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:269034","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/269034","pdf_url":null,"source":{"id":"https://openalex.org/S4306401974","display_name":"DIAL (Catholic University of Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:dial.uclouvain.be:boreal:269034","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/269034","pdf_url":null,"source":{"id":"https://openalex.org/S4306401974","display_name":"DIAL (Catholic University of Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1497233851","https://openalex.org/W1540453008","https://openalex.org/W1552094772","https://openalex.org/W1978242229","https://openalex.org/W1982391388","https://openalex.org/W1995063858","https://openalex.org/W2044741154","https://openalex.org/W2046921524","https://openalex.org/W2084970142","https://openalex.org/W2085893091","https://openalex.org/W2104575444","https://openalex.org/W2118741873","https://openalex.org/W2509841691","https://openalex.org/W2518290209","https://openalex.org/W2780429455","https://openalex.org/W2919277833","https://openalex.org/W2963148864","https://openalex.org/W3023616698","https://openalex.org/W3102249601","https://openalex.org/W3106333958","https://openalex.org/W3209581072","https://openalex.org/W4296545348","https://openalex.org/W4312418432"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W3194517843","https://openalex.org/W2534107666","https://openalex.org/W2374426356","https://openalex.org/W2121515234","https://openalex.org/W2059628530","https://openalex.org/W2164487476","https://openalex.org/W1977987201","https://openalex.org/W1979419366"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"in":[3,46],"the":[4,35,40,44,77,82,85,89],"framework":[5],"of":[6,9,26,65,84,88],"stability":[7,60],"analysis":[8],"switched":[10],"systems,":[11],"we":[12,93],"review":[13],"and":[14,22,53,62,92],"analyze":[15],"multiple":[16],"Lyapunov":[17,27,67,73],"functions":[18,28],"structures.":[19],"We":[20,51,75],"formalize":[21],"study":[23],"a":[24,47,63],"class":[25,64],"that":[29],"do":[30],"not":[31],"only":[32],"depend":[33],"on":[34,39,81],"state,":[36],"but":[37],"also":[38,69],"past":[41],"switching":[42,90],"sequence,":[43],"\u201cmemory\u201d,":[45],"general":[48],"language-theory":[49],"setting.":[50],"recall":[52],"extend":[54],"an":[55],"equivalence":[56],"result":[57],"between":[58],"these":[59],"criteria":[61],"combinatorial":[66],"techniques,":[68],"known":[70],"as":[71],"path-complete":[72],"functions.":[74],"provide":[76],"dual":[78],"results":[79],"based":[80],"knowledge/prediction":[83],"future":[86],"values":[87],"signals":[91],"illustrate":[94],"our":[95],"techniques":[96],"via":[97],"numerical":[98],"examples.":[99]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}