{"id":"https://openalex.org/W4391020398","doi":"https://doi.org/10.1109/cdc49753.2023.10384163","title":"Small Gain Theorems for Infinite Networks of Discontinuous Dynamical Systems and Applications","display_name":"Small Gain Theorems for Infinite Networks of Discontinuous Dynamical Systems and Applications","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4391020398","doi":"https://doi.org/10.1109/cdc49753.2023.10384163"},"language":"en","primary_location":{"id":"doi:10.1109/cdc49753.2023.10384163","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc49753.2023.10384163","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5044034024","display_name":"Svyatoslav Pavlichkov","orcid":"https://orcid.org/0000-0001-8740-2376"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Svyatoslav Pavlichkov","raw_affiliation_strings":["Rhineland-Palatinate Technical University of Kaiserslautern-Landau (RPTU),Kaiserslautern,Germany,67663"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rhineland-Palatinate Technical University of Kaiserslautern-Landau (RPTU),Kaiserslautern,Germany,67663","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076974853","display_name":"Naim Baj\u00e7inca","orcid":"https://orcid.org/0000-0002-1660-4859"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Naim Bajcinca","raw_affiliation_strings":["Rhineland-Palatinate Technical University of Kaiserslautern-Landau (RPTU),Kaiserslautern,Germany,67663"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rhineland-Palatinate Technical University of Kaiserslautern-Landau (RPTU),Kaiserslautern,Germany,67663","institution_ids":["https://openalex.org/I153267046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I153267046"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.32221642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":null,"first_page":"5645","last_page":"5651"},"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":0.9994999766349792,"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":0.9994999766349792,"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":0.998199999332428,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9958000183105469,"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/integrator","display_name":"Integrator","score":0.625403881072998},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5893584489822388},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5670948624610901},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.564262866973877},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5255690217018127},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5041986703872681},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47411349415779114},{"id":"https://openalex.org/keywords/small-gain-theorem","display_name":"Small-gain theorem","score":0.4336162805557251},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.351595401763916},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3455272316932678},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3328830301761627},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.283661425113678},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15599322319030762},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.0886295735836029},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08039975166320801}],"concepts":[{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.625403881072998},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5893584489822388},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5670948624610901},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.564262866973877},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5255690217018127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5041986703872681},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47411349415779114},{"id":"https://openalex.org/C27385263","wikidata":"https://www.wikidata.org/wiki/Q4165677","display_name":"Small-gain theorem","level":3,"score":0.4336162805557251},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.351595401763916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3455272316932678},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3328830301761627},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.283661425113678},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15599322319030762},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0886295735836029},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08039975166320801},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc49753.2023.10384163","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc49753.2023.10384163","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","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":33,"referenced_works":["https://openalex.org/W1982598782","https://openalex.org/W1985072454","https://openalex.org/W1988837728","https://openalex.org/W1994003949","https://openalex.org/W2015113370","https://openalex.org/W2036826525","https://openalex.org/W2040890681","https://openalex.org/W2053336042","https://openalex.org/W2060446060","https://openalex.org/W2063328482","https://openalex.org/W2079160584","https://openalex.org/W2086339962","https://openalex.org/W2087509166","https://openalex.org/W2091608925","https://openalex.org/W2103277556","https://openalex.org/W2108553625","https://openalex.org/W2111836897","https://openalex.org/W2136598296","https://openalex.org/W2151084794","https://openalex.org/W2155320511","https://openalex.org/W2161962229","https://openalex.org/W2171245641","https://openalex.org/W2591576016","https://openalex.org/W2593159012","https://openalex.org/W2602502146","https://openalex.org/W2963567876","https://openalex.org/W2981869856","https://openalex.org/W3110100430","https://openalex.org/W3138295754","https://openalex.org/W3190056986","https://openalex.org/W3210561370","https://openalex.org/W4293078920","https://openalex.org/W4380742313"],"related_works":["https://openalex.org/W2366352762","https://openalex.org/W2613964090","https://openalex.org/W2081322886","https://openalex.org/W2380425739","https://openalex.org/W2349324463","https://openalex.org/W1988313539","https://openalex.org/W2027541371","https://openalex.org/W2380535488","https://openalex.org/W2371144154","https://openalex.org/W4391062601"],"abstract_inverted_index":{"We":[0],"prove":[1],"two":[2],"small":[3],"gain":[4],"theorems":[5],"for":[6],"uniform":[7,9,12],"asymptotic,":[8],"finite-time":[10],"and":[11,51],"fixed-time":[13],"stability":[14],"of":[15,18,37,40],"infinite":[16,38],"networks":[17,39],"interconnected":[19],"nonlinear":[20],"systems":[21,42,47],"with":[22,48],"discontinuous":[23,49],"right-hand":[24],"sides.":[25],"Their":[26],"applicability":[27],"to":[28],"decentralized":[29],"control":[30],"problems":[31],"is":[32],"demonstrated":[33],"on":[34],"an":[35],"example":[36],"mechanical":[41],"described":[43],"by":[44],"lower-triangular":[45],"form":[46],"dynamics":[50],"power":[52],"integrators.":[53]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}