{"id":"https://openalex.org/W2289095047","doi":"https://doi.org/10.1109/cdc.2015.7402799","title":"Integral ISS for systems with multiple invariant sets","display_name":"Integral ISS for systems with multiple invariant sets","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2289095047","doi":"https://doi.org/10.1109/cdc.2015.7402799","mag":"2289095047"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2015.7402799","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402799","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","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/A5041118568","display_name":"Paolo Forni","orcid":"https://orcid.org/0000-0002-5777-8521"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Paolo Forni","raw_affiliation_strings":["Dept. of Electrical and Electronic Engineering, Imperial College, London, U.K"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Electronic Engineering, Imperial College, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037354850","display_name":"David Angeli","orcid":"https://orcid.org/0000-0002-5311-4306"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"David Angeli","raw_affiliation_strings":["Dept. of Electrical and Electronic Engineering, Imperial College, London, U.K","Dip. Sistemi e, Automatica of University of Florence, Italy"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Electronic Engineering, Imperial College, London, U.K","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dip. Sistemi e, Automatica of University of Florence, Italy","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041118568"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15866941,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"3736","last_page":"3741"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.996399998664856,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.996399998664856,"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":0.994700014591217,"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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9703999757766724,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/disjoint-sets","display_name":"Disjoint sets","score":0.7636080980300903},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6298486590385437},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4840063750743866},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.48080959916114807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47645071148872375},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.46476778388023376},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.45082685351371765},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.41217565536499023},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4103083312511444},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3701682686805725},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3322562575340271},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.29061582684516907},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.26940783858299255},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1861155927181244},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15432173013687134},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09524905681610107}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7636080980300903},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6298486590385437},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4840063750743866},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.48080959916114807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47645071148872375},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.46476778388023376},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.45082685351371765},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.41217565536499023},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4103083312511444},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3701682686805725},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3322562575340271},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.29061582684516907},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26940783858299255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1861155927181244},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15432173013687134},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09524905681610107},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2015.7402799","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402799","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:flore.unifi.it:2158/1153389","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/1153389","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W55814457","https://openalex.org/W1489445340","https://openalex.org/W1531925663","https://openalex.org/W1539673674","https://openalex.org/W1983004852","https://openalex.org/W1994795948","https://openalex.org/W2029048273","https://openalex.org/W2075166169","https://openalex.org/W2080209002","https://openalex.org/W2081779653","https://openalex.org/W2091869118","https://openalex.org/W2155096372","https://openalex.org/W2162750481","https://openalex.org/W2165626406","https://openalex.org/W6602273323"],"related_works":["https://openalex.org/W2347486132","https://openalex.org/W4256429076","https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W2316789606","https://openalex.org/W2350340797","https://openalex.org/W4293224283","https://openalex.org/W2950501077","https://openalex.org/W2368601041","https://openalex.org/W3169827016"],"abstract_inverted_index":{"We":[0],"generalize":[1],"the":[2,39,54,67,77],"classical":[3],"integral":[4],"Input-to-State":[5,40],"Stability":[6],"(iISS)":[7],"theory":[8,42],"for":[9,43],"systems":[10],"evolving":[11],"on":[12],"manifolds":[13],"and":[14],"admitting":[15],"multiple":[16],"disjoint":[17],"invariant":[18],"sets,":[19],"so":[20],"as":[21,62,64],"to":[22],"embed":[23],"a":[24,35],"much":[25],"broader":[26],"variety":[27],"of":[28,31,38,46,53,59,79],"dynamical":[29],"behaviors":[30],"interest.":[32],"Building":[33],"upon":[34],"recent":[36],"extension":[37],"(ISS)":[41],"this":[44],"kind":[45],"systems,":[47],"we":[48,72],"provide":[49],"here":[50],"equivalent":[51],"characterizations":[52],"iISS":[55,69],"concept":[56],"in":[57],"terms":[58],"dissipation":[60],"inequalities":[61],"well":[63],"connections":[65],"with":[66],"Strong":[68],"notion.":[70],"Finally,":[71],"discuss":[73],"some":[74],"examples":[75],"within":[76],"domain":[78],"mechanical":[80],"systems.":[81]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
