{"id":"https://openalex.org/W2167647299","doi":"https://doi.org/10.1109/cdc.2005.1583102","title":"Two dual classes of time-varying well-posed linear systems constructed from passive systems","display_name":"Two dual classes of time-varying well-posed linear systems constructed from passive systems","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2167647299","doi":"https://doi.org/10.1109/cdc.2005.1583102","mag":"2167647299"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1583102","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583102","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/A5003773351","display_name":"George H. Weiss","orcid":"https://orcid.org/0000-0002-9524-2795"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"G. Weiss","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055784097","display_name":"Roland Schnaubelt","orcid":"https://orcid.org/0000-0002-0888-1709"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Schnaubelt","raw_affiliation_strings":["Fachbereich Mathem. und Informatik, Universit\u00e4t Halle, Halle, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Mathem. und Informatik, Universit\u00e4t Halle, Halle, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13404093,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5883","last_page":"5886"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.7497179508209229},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6072797775268555},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.528042197227478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5243777632713318},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3846134841442108},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35640159249305725},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3245968222618103},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2979050278663635},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29164737462997437},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0800555944442749},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07263842225074768}],"concepts":[{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7497179508209229},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6072797775268555},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.528042197227478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5243777632713318},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3846134841442108},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35640159249305725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3245968222618103},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2979050278663635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29164737462997437},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0800555944442749},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07263842225074768}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2005.1583102","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583102","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1500458612","https://openalex.org/W1533240798","https://openalex.org/W1606157354","https://openalex.org/W1754577265","https://openalex.org/W1985201527","https://openalex.org/W2002475330","https://openalex.org/W2037263284","https://openalex.org/W2038599078","https://openalex.org/W2053449213","https://openalex.org/W2069850951","https://openalex.org/W2077640291","https://openalex.org/W2086977179","https://openalex.org/W2102602923","https://openalex.org/W2121971185","https://openalex.org/W2133627030","https://openalex.org/W2798556646","https://openalex.org/W3215616028","https://openalex.org/W4213298939","https://openalex.org/W4229986315","https://openalex.org/W4248589278","https://openalex.org/W4300374450"],"related_works":["https://openalex.org/W1514662352","https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W2027136373","https://openalex.org/W2144143333","https://openalex.org/W4386631510","https://openalex.org/W2276636510","https://openalex.org/W2105658174","https://openalex.org/W3163145068","https://openalex.org/W1990421243"],"abstract_inverted_index":{"We":[0,82],"introduce":[1],"two":[2],"classes":[3,41],"of":[4,11,36,42,63],"well-posed":[5,75],"linear":[6,76],"time-varying":[7],"(LTV)":[8],"systems.":[9],"Each":[10],"these":[12,64],"can":[13],"be":[14],"constructed":[15],"easily,":[16],"starting":[17],"from":[18],"a":[19,25,56,74,88],"time-invariant":[20],"scattering-passive":[21],"system,":[22,77],"by":[23,47,73],"introducing":[24],"time-dependent":[26],"inner":[27],"product":[28],"on":[29],"the":[30,37,61,69],"state":[31],"space":[32],"and":[33],"modifying":[34],"some":[35],"generating":[38],"operators.":[39],"These":[40],"LTV":[43,65],"systems":[44],"are":[45],"motivated":[46],"physical":[48],"examples,":[49],"such":[50],"as":[51,78],"an":[52],"electromagnetic":[53],"field":[54],"around":[55],"moving":[57],"object.":[58],"To":[59],"prove":[60],"well-posedness":[62],"systems,":[66],"we":[67],"use":[68],"Lax-Phillips":[70,89],"semigroup":[71,85],"induced":[72],"in":[79],"scattering":[80],"theory.":[81],"modify":[83],"this":[84],"to":[86],"obtain":[87],"type":[90],"evolution":[91],"family.":[92]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
