{"id":"https://openalex.org/W2086759865","doi":"https://doi.org/10.1109/cdc.2011.6160401","title":"ISS Lyapunov functions for time-varying hyperbolic partial differential equations","display_name":"ISS Lyapunov functions for time-varying hyperbolic partial differential equations","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2086759865","doi":"https://doi.org/10.1109/cdc.2011.6160401","mag":"2086759865"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00664201","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083387069","display_name":"Christophe Prieur","orcid":"https://orcid.org/0000-0002-4456-2019"},"institutions":[{"id":"https://openalex.org/I4210124956","display_name":"Grenoble Images Parole Signal Automatique","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Christophe Prieur","raw_affiliation_strings":["Department of Automatic Control, GIPSA Laboratory, Grenoble, France","Department of Automatic Control, Gipsa-lab, 961 rue de la Houille Blanche, BP 46, 38402 Grenoble Cedex, France"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, GIPSA Laboratory, Grenoble, France","institution_ids":["https://openalex.org/I4210124956"]},{"raw_affiliation_string":"Department of Automatic Control, Gipsa-lab, 961 rue de la Houille Blanche, BP 46, 38402 Grenoble Cedex, France","institution_ids":["https://openalex.org/I4210124956","https://openalex.org/I899635006"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089808891","display_name":"Fr\u00e9d\u00e9ric Mazenc","orcid":"https://orcid.org/0000-0002-6630-3624"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Frederic Mazenc","raw_affiliation_strings":["Team INRIA DISCO, CNRS-Supelec, Gif-sur-Yvette, France","Team INRIA DISCO, CNRS-Supelec, 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France"],"affiliations":[{"raw_affiliation_string":"Team INRIA DISCO, CNRS-Supelec, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I1326498283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Team INRIA DISCO, CNRS-Supelec, 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I1326498283","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083387069"],"corresponding_institution_ids":["https://openalex.org/I4210124956","https://openalex.org/I899635006"],"apc_list":null,"apc_paid":null,"fwci":1.28677762,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84819584,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"4915","last_page":"4920"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T13663","display_name":"Sustainability, Environment, and Optimization Algorithms","score":0.9682999849319458,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9488000273704529,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.7994412183761597},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6834948062896729},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.6303020715713501},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6071282625198364},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.5702909231185913},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5074052214622498},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5064889192581177},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.4989051818847656},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46665358543395996},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4397142231464386},{"id":"https://openalex.org/keywords/control-lyapunov-function","display_name":"Control-Lyapunov function","score":0.437439501285553},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43369030952453613},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4253271222114563},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1605139970779419},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12265840172767639},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07030344009399414}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7994412183761597},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6834948062896729},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.6303020715713501},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6071282625198364},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.5702909231185913},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5074052214622498},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5064889192581177},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.4989051818847656},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46665358543395996},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4397142231464386},{"id":"https://openalex.org/C201030206","wikidata":"https://www.wikidata.org/wiki/Q5165805","display_name":"Control-Lyapunov function","level":5,"score":0.437439501285553},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43369030952453613},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4253271222114563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1605139970779419},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12265840172767639},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07030344009399414},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2011.6160401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00664201v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00664201","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"CDC 2011 - ECC 2011 - 50th IEEE Conference on Decision and Control and European Control Conference, Dec 2011, Orlando, Floride, United States. pp.n.c., &#x27E8;10.1109/cdc.2011.6160401&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00664201v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00664201","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"CDC 2011 - ECC 2011 - 50th IEEE Conference on Decision and Control and European Control Conference, Dec 2011, Orlando, Floride, United States. pp.n.c., &#x27E8;10.1109/cdc.2011.6160401&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W55814457","https://openalex.org/W238693918","https://openalex.org/W1496662771","https://openalex.org/W1667867929","https://openalex.org/W1969363190","https://openalex.org/W1973025870","https://openalex.org/W1974777461","https://openalex.org/W1982740300","https://openalex.org/W2002489263","https://openalex.org/W2017350456","https://openalex.org/W2032638919","https://openalex.org/W2040805915","https://openalex.org/W2054849867","https://openalex.org/W2064323132","https://openalex.org/W2065060801","https://openalex.org/W2070032842","https://openalex.org/W2092652152","https://openalex.org/W2111189221","https://openalex.org/W2125933916","https://openalex.org/W2128193900","https://openalex.org/W2136938755","https://openalex.org/W2161311867","https://openalex.org/W2161460982","https://openalex.org/W2162853993","https://openalex.org/W2178205091","https://openalex.org/W3013490652","https://openalex.org/W3144501209","https://openalex.org/W4298576603","https://openalex.org/W6602273323","https://openalex.org/W6637143991"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W3217133416","https://openalex.org/W2358066536","https://openalex.org/W1970635650","https://openalex.org/W2496188264","https://openalex.org/W2126112326","https://openalex.org/W2091455539","https://openalex.org/W2333471870","https://openalex.org/W2374426356"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}
