{"id":"https://openalex.org/W4415179977","doi":"https://doi.org/10.23919/ecc65951.2025.11187075","title":"Utilizing discontinuous piecewise Lyapunov function for a biological PWA system and extending the analysis via input-to-state type stability","display_name":"Utilizing discontinuous piecewise Lyapunov function for a biological PWA system and extending the analysis via input-to-state type stability","publication_year":2025,"publication_date":"2025-06-24","ids":{"openalex":"https://openalex.org/W4415179977","doi":"https://doi.org/10.23919/ecc65951.2025.11187075"},"language":"en","primary_location":{"id":"doi:10.23919/ecc65951.2025.11187075","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc65951.2025.11187075","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.rug.nl/en/publications/1dec8076-3c35-4f3e-b645-25e106e109c3","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5119998275","display_name":"Radu Cimpean","orcid":null},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Radu Cimpean","raw_affiliation_strings":["University of Groningen,Bernoulli Institute and Groningen Cognitive Systems and Materials Center (CogniGron), Faculty of Science and Engineering,Groningen,The Netherlands,9747 AG"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Groningen,Bernoulli Institute and Groningen Cognitive Systems and Materials Center (CogniGron), Faculty of Science and Engineering,Groningen,The Netherlands,9747 AG","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043502547","display_name":"Stephan Trenn","orcid":"https://orcid.org/0000-0002-0947-0282"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Stephan Trenn","raw_affiliation_strings":["University of Groningen,Bernoulli Institute, Faculty of Science and Engineering,Groningen,The Netherlands,9747 AG"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Groningen,Bernoulli Institute, Faculty of Science and Engineering,Groningen,The Netherlands,9747 AG","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27109533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"194","last_page":"200"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9825999736785889,"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"}},"topics":[{"id":"https://openalex.org/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9825999736785889,"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/T13052","display_name":"Molecular Communication and Nanonetworks","score":0.9704999923706055,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11178","display_name":"Receptor Mechanisms and Signaling","score":0.9628000259399414,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6119999885559082},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.60589998960495},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5931000113487244},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5898000001907349},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5266000032424927},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5066999793052673},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4999000132083893},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.40130001306533813}],"concepts":[{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6119999885559082},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.60589998960495},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5931000113487244},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5898000001907349},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5266000032424927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5095999836921692},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5066999793052673},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4999000132083893},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.40130001306533813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3862999975681305},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.3781999945640564},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.3481999933719635},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3427000045776367},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.34139999747276306},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.3330000042915344},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.3253999948501587},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.3246000111103058},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.3192000091075897},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.26269999146461487},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.2614000141620636},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.2597000002861023}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.23919/ecc65951.2025.11187075","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc65951.2025.11187075","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.rug.nl:publications/1dec8076-3c35-4f3e-b645-25e106e109c3","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/1dec8076-3c35-4f3e-b645-25e106e109c3","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cimpean, R & Trenn, S 2025, Utilizing discontinuous piecewise Lyapunov function for a biological PWA system and extending the analysis via input-to-state type stability. in 2025 European Control Conference, ECC 2025. 2025 edn, Institute of Electrical and Electronics Engineers Inc., pp. 194-200, 2025 European Control Conference, ECC 2025, Thessaloniki, Greece, 24/06/2025. https://doi.org/10.23919/ECC65951.2025.11187075","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.rug.nl:openaire/1dec8076-3c35-4f3e-b645-25e106e109c3","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/1dec8076-3c35-4f3e-b645-25e106e109c3","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"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":"Cimpean, R & Trenn, S 2025, Utilizing discontinuous piecewise Lyapunov function for a biological PWA system and extending the analysis via input-to-state type stability. in 2025 European Control Conference, ECC 2025. 2025 edn, Institute of Electrical and Electronics Engineers Inc., pp. 194-200, 2025 European Control Conference, ECC 2025, Thessaloniki, Greece, 24/06/2025. https://doi.org/10.23919/ECC65951.2025.11187075","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:publications/1dec8076-3c35-4f3e-b645-25e106e109c3","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/1dec8076-3c35-4f3e-b645-25e106e109c3","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cimpean, R & Trenn, S 2025, Utilizing discontinuous piecewise Lyapunov function for a biological PWA system and extending the analysis via input-to-state type stability. in 2025 European Control Conference, ECC 2025. 2025 edn, Institute of Electrical and Electronics Engineers Inc., pp. 194-200, 2025 European Control Conference, ECC 2025, Thessaloniki, Greece, 24/06/2025. https://doi.org/10.23919/ECC65951.2025.11187075","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W177953287","https://openalex.org/W1504265359","https://openalex.org/W1533138544","https://openalex.org/W1965886953","https://openalex.org/W1978929829","https://openalex.org/W1994003949","https://openalex.org/W2004507254","https://openalex.org/W2007447294","https://openalex.org/W2031169795","https://openalex.org/W2036123272","https://openalex.org/W2050416021","https://openalex.org/W2106193870","https://openalex.org/W2108174711","https://openalex.org/W2134078068","https://openalex.org/W2146465835","https://openalex.org/W2149699525","https://openalex.org/W2156078565","https://openalex.org/W2606697096","https://openalex.org/W2912089974","https://openalex.org/W2913644380","https://openalex.org/W2958743755","https://openalex.org/W2977406646","https://openalex.org/W3000124408","https://openalex.org/W3000691628","https://openalex.org/W3027231068","https://openalex.org/W3139657805","https://openalex.org/W3154092777","https://openalex.org/W3214156362","https://openalex.org/W4210544069","https://openalex.org/W4361859251","https://openalex.org/W4387369293"],"related_works":[],"abstract_inverted_index":{"We":[0],"study":[1],"a":[2,14,30,37,73,80,87,102],"piecewise":[3],"affine":[4],"(PWA)":[5],"model":[6],"of":[7,10,16,29,32,48,54,64,106],"the":[8,17,26,45,49,61,65,107,112,115,124,130],"spiking":[9],"neurons":[11,34,55],"located":[12],"in":[13],"subsystem":[15],"olfactory":[18],"system.":[19],"Our":[20],"long-term":[21],"goal":[22,42],"is":[23,69,98],"to":[24,60,71,85,93,100],"understand":[25],"stability":[27,133],"properties":[28],"network":[31],"such":[33],"and":[35,57,109],"as":[36],"first":[38],"step":[39],"towards":[40],"this":[41,95],"we":[43,77,121],"consider":[44],"simplest":[46],"case":[47],"interaction":[50],"between":[51],"two":[52],"types":[53],"(excitatory":[56],"inhibitory).":[58],"Due":[59],"discontinuous":[62,88],"nature":[63],"PWA":[66],"model,":[67],"it":[68,97],"challenging":[70],"find":[72,86],"continuous":[74],"Lyapunov":[75,89],"function,":[76],"therefore":[78],"utilize":[79,94],"recently":[81],"proposed":[82],"constructive":[83],"method":[84],"function.":[90],"In":[91],"order":[92],"method,":[96],"necessary":[99],"define":[101],"suitable":[103],"polyhedral":[104],"partition":[105],"state-space":[108],"carefully":[110],"investigate":[111],"dynamics":[113],"at":[114],"boundaries.":[116],"As":[117],"an":[118],"additional":[119],"step,":[120],"propose":[122],"extending":[123],"analysis":[125],"by":[126],"employing":[127],"tools":[128],"from":[129],"input-to-state":[131],"(ISS)":[132],"framework.":[134]},"counts_by_year":[],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-15T00:00:00"}