{"id":"https://openalex.org/W1580056655","doi":"https://doi.org/10.23919/ecc.1999.7099293","title":"Frequency domain evaluation of discrete-time circle criterion and Tsypkin Criterion in the MIMO case","display_name":"Frequency domain evaluation of discrete-time circle criterion and Tsypkin Criterion in the MIMO case","publication_year":1999,"publication_date":"1999-08-01","ids":{"openalex":"https://openalex.org/W1580056655","doi":"https://doi.org/10.23919/ecc.1999.7099293","mag":"1580056655"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.1999.7099293","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.1999.7099293","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1999 European Control Conference (ECC)","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/A5079742370","display_name":"Gabriele Schmitt","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"G. Schmitt","raw_affiliation_strings":["Friedrich-Alexander-Universitat Erlangen-Nurnberg, Erlangen, Bayern, DE","Lehrstuhl fur Regelungstech., Univ. Erlangen-Nurnberg, Erlangen, Germany"],"affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-Universitat Erlangen-Nurnberg, Erlangen, Bayern, DE","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Lehrstuhl fur Regelungstech., Univ. Erlangen-Nurnberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079742370"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":null,"apc_paid":null,"fwci":1.4888,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7917342,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"165","last_page":"169"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9805999994277954,"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":0.9805999994277954,"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/T11081","display_name":"Advanced Control Systems Design","score":0.964900016784668,"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/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9391000270843506,"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/circle-criterion","display_name":"Circle criterion","score":0.8084183931350708},{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.7572988271713257},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6875701546669006},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6008083820343018},{"id":"https://openalex.org/keywords/discrete-frequency-domain","display_name":"Discrete frequency domain","score":0.59420245885849},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5903632044792175},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5231850743293762},{"id":"https://openalex.org/keywords/stability-criterion","display_name":"Stability criterion","score":0.48973917961120605},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.4885803163051605},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.48118335008621216},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4692746698856354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4635758697986603},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.4313977360725403},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3306267261505127},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.27411526441574097},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.20624899864196777},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.16320905089378357},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15291711688041687},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13301587104797363},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1313507854938507},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08799475431442261}],"concepts":[{"id":"https://openalex.org/C65521940","wikidata":"https://www.wikidata.org/wiki/Q5121443","display_name":"Circle criterion","level":4,"score":0.8084183931350708},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.7572988271713257},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6875701546669006},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6008083820343018},{"id":"https://openalex.org/C23548689","wikidata":"https://www.wikidata.org/wiki/Q5282049","display_name":"Discrete frequency domain","level":3,"score":0.59420245885849},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5903632044792175},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5231850743293762},{"id":"https://openalex.org/C2778925954","wikidata":"https://www.wikidata.org/wiki/Q16883749","display_name":"Stability criterion","level":3,"score":0.48973917961120605},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.4885803163051605},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.48118335008621216},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4692746698856354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4635758697986603},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.4313977360725403},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3306267261505127},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.27411526441574097},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.20624899864196777},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.16320905089378357},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15291711688041687},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13301587104797363},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1313507854938507},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08799475431442261},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.1999.7099293","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.1999.7099293","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1999 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2140999277","https://openalex.org/W2570513205"],"related_works":["https://openalex.org/W2130216035","https://openalex.org/W1976068816","https://openalex.org/W2043892938","https://openalex.org/W2040080498","https://openalex.org/W166939899","https://openalex.org/W2329833644","https://openalex.org/W1964490303","https://openalex.org/W1599159555","https://openalex.org/W2162328458","https://openalex.org/W2357032705"],"abstract_inverted_index":{"Many":[0],"control":[1],"applications":[2],"can":[3,14],"be":[4,16],"described":[5],"as":[6],"discrete-time":[7],"nonlinear":[8],"feedback":[9],"systems":[10],"whose":[11],"stability":[12],"properties":[13],"e.g.":[15],"analyzed":[17],"with":[18],"the":[19,24,33,40,51],"Discrete-Time":[20],"Circle":[21],"Criterion":[22],"or":[23],"Tsypkin":[25],"Criterion.":[26],"This":[27],"paper":[28],"presents":[29],"new":[30,44],"methods":[31,45],"for":[32],"evaluation":[34],"of":[35],"these":[36],"sector":[37],"criteria":[38],"in":[39],"multivariable":[41],"case.":[42],"The":[43],"are":[46],"based":[47],"on":[48],"graphic":[49],"elements:":[50],"\"discrete-time":[52],"positivity":[53],"curves\".":[54]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
