{"id":"https://openalex.org/W2740036243","doi":"https://doi.org/10.1007/978-3-319-65765-3_6","title":"Augmented Complex Zonotopes for Computing Invariants of Affine Hybrid Systems","display_name":"Augmented Complex Zonotopes for Computing Invariants of Affine Hybrid Systems","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2740036243","doi":"https://doi.org/10.1007/978-3-319-65765-3_6","mag":"2740036243"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-65765-3_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-65765-3_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5090355325","display_name":"Arvind Adimoolam","orcid":"https://orcid.org/0000-0001-5991-2950"},"institutions":[{"id":"https://openalex.org/I4210156361","display_name":"Verimag","ror":"https://ror.org/05afmzm11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210156361","https://openalex.org/I4210159245","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Arvind Adimoolam","raw_affiliation_strings":["Verimag, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"Verimag, Grenoble, France","institution_ids":["https://openalex.org/I4210156361"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101717722","display_name":"Thao Dang","orcid":"https://orcid.org/0000-0002-7629-3853"},"institutions":[{"id":"https://openalex.org/I4210156361","display_name":"Verimag","ror":"https://ror.org/05afmzm11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210156361","https://openalex.org/I4210159245","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thao Dang","raw_affiliation_strings":["Verimag, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"Verimag, Grenoble, France","institution_ids":["https://openalex.org/I4210156361"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090355325"],"corresponding_institution_ids":["https://openalex.org/I4210156361"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.534,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65249573,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"97","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9941999912261963,"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/affine-transformation","display_name":"Affine transformation","score":0.7627725005149841},{"id":"https://openalex.org/keywords/minkowski-addition","display_name":"Minkowski addition","score":0.7403872013092041},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5065242052078247},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5006210803985596},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.48561611771583557},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4707042872905731},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4635545313358307},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39316701889038086},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34020793437957764},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.32772189378738403},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1587848663330078}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7627725005149841},{"id":"https://openalex.org/C10233890","wikidata":"https://www.wikidata.org/wiki/Q1322294","display_name":"Minkowski addition","level":3,"score":0.7403872013092041},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5065242052078247},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5006210803985596},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.48561611771583557},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4707042872905731},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4635545313358307},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39316701889038086},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34020793437957764},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.32772189378738403},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1587848663330078},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-65765-3_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-65765-3_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W178079818","https://openalex.org/W190511973","https://openalex.org/W331525950","https://openalex.org/W1493913576","https://openalex.org/W1497013959","https://openalex.org/W1499377964","https://openalex.org/W1518247129","https://openalex.org/W1552875110","https://openalex.org/W1558356971","https://openalex.org/W1563374593","https://openalex.org/W1569692898","https://openalex.org/W1570105559","https://openalex.org/W1599897266","https://openalex.org/W1607353007","https://openalex.org/W2015863039","https://openalex.org/W2016043649","https://openalex.org/W2020254113","https://openalex.org/W2075133940","https://openalex.org/W2075267702","https://openalex.org/W2099629271","https://openalex.org/W2102696258","https://openalex.org/W2107265973","https://openalex.org/W2127067432","https://openalex.org/W2132661148","https://openalex.org/W2176215692","https://openalex.org/W2295906355","https://openalex.org/W2300621294","https://openalex.org/W2496730619","https://openalex.org/W2571762113","https://openalex.org/W2578616199","https://openalex.org/W2606356660","https://openalex.org/W2735597177","https://openalex.org/W2962692858","https://openalex.org/W3158747708","https://openalex.org/W4206241495"],"related_works":["https://openalex.org/W4300566153","https://openalex.org/W2795378890","https://openalex.org/W2804689728","https://openalex.org/W2901329027","https://openalex.org/W1977856642","https://openalex.org/W2924474650","https://openalex.org/W2016670213","https://openalex.org/W2091256942","https://openalex.org/W36492929","https://openalex.org/W2900713802"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}