{"id":"https://openalex.org/W2089328570","doi":"https://doi.org/10.1109/acc.2010.5530893","title":"Stability analysis for interconnected piecewise linear planar systems","display_name":"Stability analysis for interconnected piecewise linear planar systems","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2089328570","doi":"https://doi.org/10.1109/acc.2010.5530893","mag":"2089328570"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2010.5530893","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5530893","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American Control Conference","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/A5109509740","display_name":"Satoshi Nishiyama","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Satoshi Nishiyama","raw_affiliation_strings":["Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, Tokyo, Japan","Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, 152-8552, JAPAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, 152-8552, JAPAN","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022076155","display_name":"Tomohisa Hayakawa","orcid":"https://orcid.org/0000-0002-8221-2757"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tomohisa Hayakawa","raw_affiliation_strings":["Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, Tokyo, Japan","Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, 152-8552, JAPAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, 152-8552, JAPAN","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.20614035,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"4827","last_page":"4832"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9908000230789185,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9908000230789185,"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/planar","display_name":"Planar","score":0.8203802108764648},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7169539928436279},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.7104882597923279},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6404037475585938},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5919398069381714},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.572973370552063},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5699491500854492},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5423084497451782},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.44912105798721313},{"id":"https://openalex.org/keywords/negativity-effect","display_name":"Negativity effect","score":0.4448452591896057},{"id":"https://openalex.org/keywords/piecewise-linear-manifold","display_name":"Piecewise linear manifold","score":0.42090851068496704},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41102707386016846},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3205462396144867},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30677443742752075},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14345604181289673},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09495416283607483},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08970329165458679}],"concepts":[{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.8203802108764648},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7169539928436279},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.7104882597923279},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6404037475585938},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5919398069381714},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.572973370552063},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5699491500854492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5423084497451782},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.44912105798721313},{"id":"https://openalex.org/C7453019","wikidata":"https://www.wikidata.org/wiki/Q16254302","display_name":"Negativity effect","level":2,"score":0.4448452591896057},{"id":"https://openalex.org/C184175843","wikidata":"https://www.wikidata.org/wiki/Q7191425","display_name":"Piecewise linear manifold","level":3,"score":0.42090851068496704},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41102707386016846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3205462396144867},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30677443742752075},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14345604181289673},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09495416283607483},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08970329165458679},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2010.5530893","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5530893","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1978929829","https://openalex.org/W2004267302","https://openalex.org/W2008393500","https://openalex.org/W2062854950","https://openalex.org/W2132629488"],"related_works":["https://openalex.org/W2619539882","https://openalex.org/W2043586353","https://openalex.org/W57070652","https://openalex.org/W4256576314","https://openalex.org/W1989138816","https://openalex.org/W2886522954","https://openalex.org/W2109304297","https://openalex.org/W2100864966","https://openalex.org/W2490196280","https://openalex.org/W4323366562"],"abstract_inverted_index":{"Stability":[0],"analysis":[1,31],"of":[2,16,19,37,40,48,65],"interconnected":[3,24],"piecewise":[4,12,20],"linear":[5,13,21],"planar":[6,22,53],"systems":[7,23],"is":[8,32,60],"provided.":[9],"The":[10,29],"connected":[11],"system":[14,27],"consists":[15],"a":[17,52],"pair":[18],"through":[25],"the":[26,35,38,41,46,66],"mode.":[28],"stability":[30],"predicated":[33],"on":[34],"negativity":[36],"integral":[39],"radial":[42],"growth":[43],"rate":[44],"and":[45],"existence":[47],"periodic":[49],"orbits":[50],"in":[51],"torus":[54],"space.":[55],"Finally,":[56],"an":[57],"illustrative":[58],"example":[59],"provided":[61],"to":[62],"demonstrate":[63],"efficacy":[64],"proposed":[67],"approach.":[68]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}