{"id":"https://openalex.org/W2132051000","doi":"https://doi.org/10.1109/cdc.2005.1583208","title":"Classification of linear planar systems with hybrid feedback control","display_name":"Classification of linear planar systems with hybrid feedback control","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2132051000","doi":"https://doi.org/10.1109/cdc.2005.1583208","mag":"2132051000"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1583208","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583208","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-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/A5038729886","display_name":"Elena Litsyn","orcid":null},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"E. Litsyn","raw_affiliation_strings":["Ben-Gurion University of the Negev, Beersheva, Israel"],"affiliations":[{"raw_affiliation_string":"Ben-Gurion University of the Negev, Beersheva, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081024327","display_name":"\u041c. G. Myasnikova","orcid":"https://orcid.org/0000-0002-7224-0308"},"institutions":[{"id":"https://openalex.org/I105056648","display_name":"Perm State University","ror":"https://ror.org/029njb796","country_code":"RU","type":"education","lineage":["https://openalex.org/I105056648"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"M. Myasnikova","raw_affiliation_strings":["Perm State University, Perm, Russia"],"affiliations":[{"raw_affiliation_string":"Perm State University, Perm, Russia","institution_ids":["https://openalex.org/I105056648"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102965698","display_name":"Yury V. Nepomnyashchikh","orcid":"https://orcid.org/0009-0008-1374-4283"},"institutions":[{"id":"https://openalex.org/I16904388","display_name":"Eduardo Mondlane University","ror":"https://ror.org/05n8n9378","country_code":"MZ","type":"education","lineage":["https://openalex.org/I16904388"]}],"countries":["MZ"],"is_corresponding":false,"raw_author_name":"Y. Nepomnyashchikh","raw_affiliation_strings":["Eduardo Mondlane University, Maputo, Mozambique"],"affiliations":[{"raw_affiliation_string":"Eduardo Mondlane University, Maputo, Mozambique","institution_ids":["https://openalex.org/I16904388"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034369477","display_name":"Arcady Ponosov","orcid":"https://orcid.org/0000-0001-5018-6577"},"institutions":[{"id":"https://openalex.org/I54108979","display_name":"Norwegian University of Life Sciences","ror":"https://ror.org/04a1mvv97","country_code":"NO","type":"education","lineage":["https://openalex.org/I54108979"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"A. Ponosov","raw_affiliation_strings":["Norwegian University of Life Sciences, Norway"],"affiliations":[{"raw_affiliation_string":"Norwegian University of Life Sciences, Norway","institution_ids":["https://openalex.org/I54108979"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038729886"],"corresponding_institution_ids":["https://openalex.org/I124227911"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11793771,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1066","issue":null,"first_page":"6522","last_page":"6526"},"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":0.9990000128746033,"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":0.9990000128746033,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9897000193595886,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9894000291824341,"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/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6306082606315613},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5999404788017273},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5804333090782166},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5648177862167358},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.5610858798027039},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5483159422874451},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.5145965814590454},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5054819583892822},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.5007309913635254},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49845051765441895},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.4941997826099396},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4749836325645447},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.46767979860305786},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.4409683048725128},{"id":"https://openalex.org/keywords/linear-dynamical-system","display_name":"Linear dynamical system","score":0.42213913798332214},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4147583246231079},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3903975486755371},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38780829310417175},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3531460165977478},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3348020315170288},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.24876439571380615},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19583669304847717},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19072476029396057},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12077328562736511},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09390205144882202},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08137765526771545}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6306082606315613},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5999404788017273},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5804333090782166},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5648177862167358},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.5610858798027039},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5483159422874451},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.5145965814590454},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5054819583892822},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.5007309913635254},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49845051765441895},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.4941997826099396},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4749836325645447},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.46767979860305786},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.4409683048725128},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.42213913798332214},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4147583246231079},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3903975486755371},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38780829310417175},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3531460165977478},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3348020315170288},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.24876439571380615},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19583669304847717},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19072476029396057},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12077328562736511},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09390205144882202},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08137765526771545},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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":2,"locations":[{"id":"doi:10.1109/cdc.2005.1583208","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583208","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.131.5251","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.131.5251","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.rutgers.edu/~sontag/FTP_DIR/05cdc-papers-refs-eds/0981.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1484739396","https://openalex.org/W1517587896","https://openalex.org/W1725782210","https://openalex.org/W1963931834","https://openalex.org/W1989989062","https://openalex.org/W2032695768","https://openalex.org/W2612917770","https://openalex.org/W2988545412","https://openalex.org/W6737684977"],"related_works":["https://openalex.org/W1495105673","https://openalex.org/W2401747327","https://openalex.org/W2095644384","https://openalex.org/W951123078","https://openalex.org/W42165","https://openalex.org/W2020061635","https://openalex.org/W1968401573","https://openalex.org/W2025792734","https://openalex.org/W2029666815","https://openalex.org/W2047013661"],"abstract_inverted_index":{"Continuing":[0],"the":[1,25],"authors\u2019":[2],"studies":[3],"of":[4,20,31],"hybrid":[5],"dynamical":[6],"systems,":[7],"i.e.":[8],"differential":[9],"equations":[10],"governed":[11],"by":[12,44],"finite":[13],"automata,":[14],"an":[15],"efficient":[16],"and":[17],"complete":[18],"classification":[19,63],"control":[21],"linear":[22],"systems":[23,34],"in":[24,51],"plane":[26],"is":[27,35,57,71],"offered.":[28],"The":[29,48],"set":[30],"all":[32],"such":[33],"divided":[36],"into":[37],"equivalence":[38],"classes":[39],"which":[40],"are":[41,54],"explicitly":[42],"characterized":[43],"some":[45],"quantitative":[46],"invariants.":[47],"canonical":[49],"representatives":[50],"each":[52],"class":[53],"determined.":[55],"It":[56],"shown":[58],"how":[59],"to":[60,64],"use":[61],"this":[62],"find":[65],"out":[66],"whether":[67],"a":[68],"given":[69],"system":[70],"stabilizable":[72],"or":[73],"not.":[74]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
