{"id":"https://openalex.org/W2072433108","doi":"https://doi.org/10.1007/pl00009884","title":"Analysis of Over- and Underdetermined Nonlinear Differential-Algebraic Systems with Application to Nonlinear Control Problems","display_name":"Analysis of Over- and Underdetermined Nonlinear Differential-Algebraic Systems with Application to Nonlinear Control Problems","publication_year":2001,"publication_date":"2001-08-01","ids":{"openalex":"https://openalex.org/W2072433108","doi":"https://doi.org/10.1007/pl00009884","mag":"2072433108"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009884","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00009884","pdf_url":null,"source":{"id":"https://openalex.org/S88345224","display_name":"Mathematics of Control Signals and Systems","issn_l":"0932-4194","issn":["0932-4194","1435-568X"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Control, Signals, and Systems","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/A5074372293","display_name":"Peter Kunkel","orcid":"https://orcid.org/0000-0002-8248-5835"},"institutions":[{"id":"https://openalex.org/I129877168","display_name":"Carl von Ossietzky Universit\u00e4t Oldenburg","ror":"https://ror.org/033n9gh91","country_code":"DE","type":"education","lineage":["https://openalex.org/I129877168"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Peter Kunkel","raw_affiliation_strings":["Fachbereich Mathematik, Carl von Ossietzky Universit\u00e4t Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany., , , , , , DE","Fachbereich Mathematik, Carl von Ossietzky Universit\u00e4t Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany, DE"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Carl von Ossietzky Universit\u00e4t Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany., , , , , , DE","institution_ids":["https://openalex.org/I129877168"]},{"raw_affiliation_string":"Fachbereich Mathematik, Carl von Ossietzky Universit\u00e4t Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany, DE","institution_ids":["https://openalex.org/I129877168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016940729","display_name":"Volker Mehrmann","orcid":"https://orcid.org/0000-0001-5051-2870"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Volker Mehrmann","raw_affiliation_strings":["FB 3 Mathematik, MA 4-5, Technische Universit\u00e4t Berlin, D-10623 Berlin, Germany., , , , , , DE","FB 3 Mathematik, MA 4-5, Technische Universit\u00e4t Berlin, D-10623 Berlin, Germany., , DE"],"affiliations":[{"raw_affiliation_string":"FB 3 Mathematik, MA 4-5, Technische Universit\u00e4t Berlin, D-10623 Berlin, Germany., , , , , , DE","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"FB 3 Mathematik, MA 4-5, Technische Universit\u00e4t Berlin, D-10623 Berlin, Germany., , DE","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074372293"],"corresponding_institution_ids":["https://openalex.org/I129877168"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.7762,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.83607118,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"14","issue":"3","first_page":"233","last_page":"256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.9975000023841858,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9965999722480774,"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/underdetermined-system","display_name":"Underdetermined system","score":0.9419645667076111},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.8037382364273071},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7530039548873901},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.5444028377532959},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.528287947177887},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5191428065299988},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5055301189422607},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.5030795931816101},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4834674000740051},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4646078944206238},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4375082850456238},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.43697839975357056},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.41771724820137024},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4158618152141571},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3786803185939789},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.22411611676216125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2102549970149994},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19565069675445557},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09645810723304749},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08901885151863098}],"concepts":[{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.9419645667076111},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.8037382364273071},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7530039548873901},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.5444028377532959},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.528287947177887},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5191428065299988},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5055301189422607},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5030795931816101},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4834674000740051},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4646078944206238},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4375082850456238},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43697839975357056},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.41771724820137024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4158618152141571},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3786803185939789},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.22411611676216125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2102549970149994},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19565069675445557},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09645810723304749},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08901885151863098},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/pl00009884","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00009884","pdf_url":null,"source":{"id":"https://openalex.org/S88345224","display_name":"Mathematics of Control Signals and Systems","issn_l":"0932-4194","issn":["0932-4194","1435-568X"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Control, Signals, and Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.42.8445","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.42.8445","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tu-chemnitz.de/sfb393/Files/PS/sfb00-08.ps.gz","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2147578878","https://openalex.org/W2127408363","https://openalex.org/W1496660757","https://openalex.org/W2115030441","https://openalex.org/W2072433108","https://openalex.org/W2377412256","https://openalex.org/W131130942","https://openalex.org/W2153650232","https://openalex.org/W1504511962","https://openalex.org/W2018107306"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
