{"id":"https://openalex.org/W2024065575","doi":"https://doi.org/10.1016/s0005-1098(99)00180-6","title":"On absolute stability analysis by polyhedral Lyapunov functions","display_name":"On absolute stability analysis by polyhedral Lyapunov functions","publication_year":2000,"publication_date":"2000-04-01","ids":{"openalex":"https://openalex.org/W2024065575","doi":"https://doi.org/10.1016/s0005-1098(99)00180-6","mag":"2024065575"},"language":"en","primary_location":{"id":"doi:10.1016/s0005-1098(99)00180-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0005-1098(99)00180-6","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-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/A5062290220","display_name":"Andrzej Pola\u0144ski","orcid":"https://orcid.org/0000-0002-1793-9546"},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej Pola\u0144ski","raw_affiliation_strings":["Department of Automatic Control, Silesian Technical University ul. Akademicka 16, 44-101 Gliwice, Poland","Department of Automatic Control, Silesian Technical University ul. Akademicka 16, 44-101 Gliwice, Poland#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Silesian Technical University ul. Akademicka 16, 44-101 Gliwice, Poland","institution_ids":["https://openalex.org/I119004910"]},{"raw_affiliation_string":"Department of Automatic Control, Silesian Technical University ul. Akademicka 16, 44-101 Gliwice, Poland#TAB#","institution_ids":["https://openalex.org/I119004910"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062290220"],"corresponding_institution_ids":["https://openalex.org/I119004910"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":1.982,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.86207024,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"36","issue":"4","first_page":"573","last_page":"578"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","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/T10046","display_name":"Stability and Control of Uncertain Systems","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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9991000294685364,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/polyhedron","display_name":"Polyhedron","score":0.8000035285949707},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.7312017679214478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6684073805809021},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.6618795394897461},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5596874952316284},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5528459548950195},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4891212582588196},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.4399242699146271},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4323938488960266},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42388951778411865},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3619915843009949},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2685776948928833},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21026068925857544},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1713300347328186},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15813016891479492},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12052047252655029},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.059459388256073}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.8000035285949707},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7312017679214478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6684073805809021},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.6618795394897461},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5596874952316284},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5528459548950195},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4891212582588196},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.4399242699146271},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4323938488960266},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42388951778411865},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3619915843009949},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2685776948928833},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21026068925857544},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1713300347328186},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15813016891479492},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12052047252655029},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.059459388256073},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0005-1098(99)00180-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0005-1098(99)00180-6","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.6600000262260437,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W219701461","https://openalex.org/W1978587117","https://openalex.org/W1991153786","https://openalex.org/W2022266599","https://openalex.org/W2023729441","https://openalex.org/W2024106956","https://openalex.org/W2032173185","https://openalex.org/W2061859684","https://openalex.org/W2068617307","https://openalex.org/W2073976706","https://openalex.org/W2101138302","https://openalex.org/W2104460138","https://openalex.org/W2115975765","https://openalex.org/W2141561678","https://openalex.org/W2157269960","https://openalex.org/W2161491210","https://openalex.org/W2166912947","https://openalex.org/W3142300713","https://openalex.org/W3210839039","https://openalex.org/W4251481403","https://openalex.org/W4300640952"],"related_works":["https://openalex.org/W2272764807","https://openalex.org/W1969702143","https://openalex.org/W4205608640","https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W2030955003","https://openalex.org/W2374426356","https://openalex.org/W2529877681","https://openalex.org/W1977987201","https://openalex.org/W2059628530"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
