{"id":"https://openalex.org/W4412494754","doi":"https://doi.org/10.1007/s00498-025-00421-z","title":"Relationship between dissipativity concepts for linear time-varying port-Hamiltonian systems","display_name":"Relationship between dissipativity concepts for linear time-varying port-Hamiltonian systems","publication_year":2025,"publication_date":"2025-07-20","ids":{"openalex":"https://openalex.org/W4412494754","doi":"https://doi.org/10.1007/s00498-025-00421-z"},"language":"en","primary_location":{"id":"doi:10.1007/s00498-025-00421-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00498-025-00421-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00498-025-00421-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00498-025-00421-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063128644","display_name":"Karim Cherifi","orcid":"https://orcid.org/0000-0003-1294-9291"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]},{"id":"https://openalex.org/I20696738","display_name":"Wuppertal Institute for Climate, Environment and Energy","ror":"https://ror.org/01spy4t79","country_code":"DE","type":"facility","lineage":["https://openalex.org/I20696738"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Karim Cherifi","raw_affiliation_strings":["Institute for Mathematical Modeling, Analysis and Computational Mathematics, University of Wuppertal, Gau\u00dfstra\u00dfe 20, 42119, Wuppertal, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Mathematical Modeling, Analysis and Computational Mathematics, University of Wuppertal, Gau\u00dfstra\u00dfe 20, 42119, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494","https://openalex.org/I20696738"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053757940","display_name":"Hannes Gernandt","orcid":"https://orcid.org/0000-0001-7364-4606"},"institutions":[{"id":"https://openalex.org/I20696738","display_name":"Wuppertal Institute for Climate, Environment and Energy","ror":"https://ror.org/01spy4t79","country_code":"DE","type":"facility","lineage":["https://openalex.org/I20696738"]},{"id":"https://openalex.org/I4210098353","display_name":"Fraunhofer Research Institution for Energy Infrastructures and Geothermal Systems","ror":"https://ror.org/00y718461","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210098353","https://openalex.org/I4923324"]},{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hannes Gernandt","raw_affiliation_strings":["Fraunhofer IEG, Fraunhofer Research Institution for Energy Infrastructures and Geothermal Systems IEG, Cottbus, Gulbener Stra\u00dfe 23, 03046, Cottbus, Germany","Institute for Mathematical Modeling, Analysis and Computational Mathematics, University of Wuppertal, Gau\u00dfstra\u00dfe 20, 42119, Wuppertal, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer IEG, Fraunhofer Research Institution for Energy Infrastructures and Geothermal Systems IEG, Cottbus, Gulbener Stra\u00dfe 23, 03046, Cottbus, Germany","institution_ids":["https://openalex.org/I4210098353"]},{"raw_affiliation_string":"Institute for Mathematical Modeling, Analysis and Computational Mathematics, University of Wuppertal, Gau\u00dfstra\u00dfe 20, 42119, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494","https://openalex.org/I20696738"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076176459","display_name":"Dorothea Hinsen","orcid":"https://orcid.org/0000-0002-6576-9430"},"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":"Dorothea Hinsen","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Stra\u00dfe des 17. Juni 136, 10623, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Stra\u00dfe des 17. Juni 136, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","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":["Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Stra\u00dfe des 17. Juni 136, 10623, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Stra\u00dfe des 17. Juni 136, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050351113","display_name":"Riccardo Morandin","orcid":"https://orcid.org/0000-0003-2511-041X"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Riccardo Morandin","raw_affiliation_strings":["Institute of Analysis und Numerics, Otto von Guericke University Magdeburg, Universit\u00e4tsplatz 2, 39106, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Analysis und Numerics, Otto von Guericke University Magdeburg, Universit\u00e4tsplatz 2, 39106, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5050351113"],"corresponding_institution_ids":["https://openalex.org/I95793202"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1954355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"4","first_page":"879","last_page":"968"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":1.0,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":1.0,"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/T11416","display_name":"Numerical methods for differential equations","score":0.995199978351593,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9842000007629395,"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/mathematics","display_name":"Mathematics","score":0.7938841581344604},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.6461166143417358},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5316615104675293},{"id":"https://openalex.org/keywords/port","display_name":"Port (circuit theory)","score":0.46196573972702026},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4423840641975403},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3675912618637085},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.334881067276001},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32398343086242676},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.316173791885376},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31357330083847046},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23076364398002625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12363883852958679}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7938841581344604},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.6461166143417358},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5316615104675293},{"id":"https://openalex.org/C32802771","wikidata":"https://www.wikidata.org/wiki/Q2443617","display_name":"Port (circuit theory)","level":2,"score":0.46196573972702026},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4423840641975403},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3675912618637085},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.334881067276001},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32398343086242676},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.316173791885376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31357330083847046},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23076364398002625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12363883852958679},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00498-025-00421-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00498-025-00421-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00498-025-00421-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Control, Signals, and Systems","raw_type":"journal-article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/490046","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/490046","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":{"id":"doi:10.1007/s00498-025-00421-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00498-025-00421-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00498-025-00421-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Control, Signals, and Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G404847940","display_name":null,"funder_award_id":"05M22KTB","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"},{"id":"https://openalex.org/G5106512922","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5737821012","display_name":null,"funder_award_id":"531152215","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6024419964","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6052429835","display_name":null,"funder_award_id":"(DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6527339920","display_name":null,"funder_award_id":"239904186","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7237039479","display_name":null,"funder_award_id":"446856041","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320335829","display_name":"Otto von Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412494754.pdf","grobid_xml":"https://content.openalex.org/works/W4412494754.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W96651244","https://openalex.org/W99253999","https://openalex.org/W608773355","https://openalex.org/W822041712","https://openalex.org/W1159463588","https://openalex.org/W1545761024","https://openalex.org/W1874603379","https://openalex.org/W1963548912","https://openalex.org/W1975940265","https://openalex.org/W1988565074","https://openalex.org/W1998846299","https://openalex.org/W2005993973","https://openalex.org/W2019305033","https://openalex.org/W2030029621","https://openalex.org/W2031151301","https://openalex.org/W2032173185","https://openalex.org/W2035669239","https://openalex.org/W2046874050","https://openalex.org/W2052387764","https://openalex.org/W2053110557","https://openalex.org/W2067897486","https://openalex.org/W2074235022","https://openalex.org/W2076467525","https://openalex.org/W2081837399","https://openalex.org/W2089656507","https://openalex.org/W2096749030","https://openalex.org/W2096876511","https://openalex.org/W2126319019","https://openalex.org/W2144355672","https://openalex.org/W2180934958","https://openalex.org/W2345020298","https://openalex.org/W2730977512","https://openalex.org/W2766459330","https://openalex.org/W2770482887","https://openalex.org/W2887101385","https://openalex.org/W2895839777","https://openalex.org/W2943324284","https://openalex.org/W2963758004","https://openalex.org/W3011034919","https://openalex.org/W3101024246","https://openalex.org/W3144205947","https://openalex.org/W4210275393","https://openalex.org/W4231011685","https://openalex.org/W4238094249","https://openalex.org/W4285135435","https://openalex.org/W4290082799","https://openalex.org/W4293078920","https://openalex.org/W4302585512","https://openalex.org/W4312559267","https://openalex.org/W4323042970","https://openalex.org/W4376137587","https://openalex.org/W4388593078","https://openalex.org/W4389398832","https://openalex.org/W4400946459","https://openalex.org/W4402335384","https://openalex.org/W4402661067","https://openalex.org/W4411707493"],"related_works":["https://openalex.org/W2753223082","https://openalex.org/W3025119703","https://openalex.org/W4387941415","https://openalex.org/W2347757802","https://openalex.org/W600655143","https://openalex.org/W2978632086","https://openalex.org/W4385372470","https://openalex.org/W1559940255","https://openalex.org/W2373396576","https://openalex.org/W4404467604"],"abstract_inverted_index":{"Abstract":[0],"The":[1,50],"relationship":[2],"between":[3,15],"different":[4,42],"dissipativity":[5,75],"concepts":[6],"for":[7],"linear":[8,29],"time-varying":[9,30],"systems":[10,21,32],"is":[11,26],"studied,":[12],"in":[13,56],"particular":[14],"port-Hamiltonian":[16,31,67],"systems,":[17,19],"passive":[18],"and":[20,39,47],"with":[22],"nonnegative":[23,36],"supply.":[24],"It":[25],"shown":[27],"that":[28],"are":[33,53,62,79],"passive,":[34],"have":[35],"supply":[37],"rates,":[38],"solve":[40],"(under":[41],"smoothness":[43],"assumptions)":[44],"Kalman\u2013Yakubovich\u2013Popov":[45],"differential":[46],"integral":[48],"inequalities.":[49],"converse":[51],"relations":[52],"also":[54],"studied":[55],"detail.":[57],"In":[58],"particular,":[59],"sufficient":[60],"conditions":[61],"presented":[63],"to":[64],"obtain":[65],"a":[66],"representation":[68],"starting":[69],"from":[70],"any":[71],"of":[72],"the":[73],"other":[74],"concepts.":[76],"Two":[77],"applications":[78],"presented.":[80]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
