{"id":"https://openalex.org/W2758756656","doi":"https://doi.org/10.1109/cdc.2017.8264167","title":"A dissipativity theorem for p-dominant systems","display_name":"A dissipativity theorem for p-dominant systems","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2758756656","doi":"https://doi.org/10.1109/cdc.2017.8264167","mag":"2758756656"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2017.8264167","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264167","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1709.06155","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034730197","display_name":"Fulvio Forni","orcid":"https://orcid.org/0000-0002-5728-0176"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Fulvio Forni","raw_affiliation_strings":["Department of Engineering, The University of Cambridge, Cambridge","University of Cambridge, Department of Engineering, Trumpington Street, Cambridge CB2 1PZ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering, The University of Cambridge, Cambridge","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"University of Cambridge, Department of Engineering, Trumpington Street, Cambridge CB2 1PZ","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067642477","display_name":"Rodolphe Sepulchre","orcid":"https://orcid.org/0000-0002-7047-3124"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Rodolphe Sepulchre","raw_affiliation_strings":["Department of Engineering, The University of Cambridge, Cambridge","University of Cambridge, Department of Engineering, Trumpington Street, Cambridge CB2 1PZ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering, The University of Cambridge, Cambridge","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"University of Cambridge, Department of Engineering, Trumpington Street, Cambridge CB2 1PZ","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"383","issue":null,"first_page":"3467","last_page":"3472"},"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":0.9995999932289124,"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":0.9995999932289124,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.996999979019165,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematics","display_name":"Mathematics","score":0.7130131721496582},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.5909092426300049},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5508808493614197},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5208345055580139},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47618427872657776},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4613094627857208},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4533329904079437},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4442942142486572},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4335120916366577},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.43192556500434875},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.4124959707260132},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3597713112831116},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08454042673110962}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7130131721496582},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.5909092426300049},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5508808493614197},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5208345055580139},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47618427872657776},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4613094627857208},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4533329904079437},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4442942142486572},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4335120916366577},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.43192556500434875},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.4124959707260132},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3597713112831116},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08454042673110962},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1109/cdc.2017.8264167","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264167","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1709.06155","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.06155","pdf_url":"https://arxiv.org/pdf/1709.06155","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:arXiv.org:1709.06155","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1709.06155","pdf_url":"https://arxiv.org/pdf/1709.06155","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:www.repository.cam.ac.uk:1810/286043","is_oa":true,"landing_page_url":"https://www.repository.cam.ac.uk/handle/1810/286043","pdf_url":"https://www.repository.cam.ac.uk/handle/1810/286043","source":{"id":"https://openalex.org/S4306401777","display_name":"Apollo (University of Cambridge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I241749","host_organization_name":"University of Cambridge","host_organization_lineage":["https://openalex.org/I241749"],"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":"Conference Object"},{"id":"mag:2758756656","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1709.06155","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:generic.eprints.org:930572","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/930572/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"},{"id":"doi:10.48550/arxiv.1709.06155","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1709.06155","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.17863/cam.33361","is_oa":true,"landing_page_url":"https://doi.org/10.17863/cam.33361","pdf_url":null,"source":{"id":"https://openalex.org/S7407050737","display_name":"Apollo","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Other"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1709.06155","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.06155","pdf_url":"https://arxiv.org/pdf/1709.06155","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W130245595","https://openalex.org/W240844920","https://openalex.org/W1517248966","https://openalex.org/W1548148540","https://openalex.org/W1736530648","https://openalex.org/W1835291487","https://openalex.org/W1851248039","https://openalex.org/W1967469109","https://openalex.org/W1988466102","https://openalex.org/W1999878649","https://openalex.org/W2010397660","https://openalex.org/W2015745168","https://openalex.org/W2018972907","https://openalex.org/W2036216368","https://openalex.org/W2055412056","https://openalex.org/W2062817484","https://openalex.org/W2073540225","https://openalex.org/W2076467525","https://openalex.org/W2082042541","https://openalex.org/W2095477585","https://openalex.org/W2132967688","https://openalex.org/W2134889984","https://openalex.org/W2147741970","https://openalex.org/W2170364269","https://openalex.org/W2229364043","https://openalex.org/W2536620281","https://openalex.org/W2766129514","https://openalex.org/W2963992176","https://openalex.org/W3105187255","https://openalex.org/W4299992430","https://openalex.org/W6600627807","https://openalex.org/W6632491180","https://openalex.org/W6638806267"],"related_works":["https://openalex.org/W1964926463","https://openalex.org/W2796482484","https://openalex.org/W3127455415","https://openalex.org/W2992203361","https://openalex.org/W3096674371","https://openalex.org/W2354343603","https://openalex.org/W3001546018","https://openalex.org/W2902405931","https://openalex.org/W2099577855","https://openalex.org/W2008224706","https://openalex.org/W2034450974","https://openalex.org/W2992304969","https://openalex.org/W2002122833","https://openalex.org/W3099081604","https://openalex.org/W3145816599","https://openalex.org/W2090302562","https://openalex.org/W1964053068","https://openalex.org/W1601140635","https://openalex.org/W3013460689","https://openalex.org/W2018146506"],"abstract_inverted_index":{"We":[0],"revisit":[1],"the":[2,14,78,97],"classical":[3,32],"dissipativity":[4],"theorem":[5],"of":[6,81,99],"linear-quadratic":[7],"theory":[8,33,42,55,62],"in":[9,20,27],"a":[10,21,28,49,69,82,93],"generalized":[11,54,83],"framework":[12],"where":[13],"quadratic":[15],"storage":[16],"is":[17,56,77],"negative":[18],"definite":[19,26],"p-dimensional":[22,70],"subspace":[23],"and":[24,38],"positive":[25],"complementary":[29],"subspace.":[30,72],"The":[31,53,89],"assumes":[34],"p":[35],"=":[36],"0":[37],"provides":[39],"an":[40,60],"interconnection":[41,61],"for":[43,63,86,96],"stability":[44],"analysis,":[45,65],"i.e.":[46,66],"convergence":[47,67],"to":[48,58,68],"zero":[50],"dimensional":[51],"attractor.":[52],"shown":[57],"provide":[59],"p-dominance":[64],"dominant":[71],"In":[73],"turn,":[74],"this":[75],"property":[76,85],"differential":[79],"characterization":[80],"contraction":[84],"nonlinear":[87],"systems.":[88],"proposed":[90],"generalization":[91],"opens":[92],"novel":[94],"avenue":[95],"analysis":[98],"interconnected":[100],"systems":[101],"with":[102],"low-dimensional":[103],"attractors.":[104]},"counts_by_year":[],"updated_date":"2026-07-16T13:24:37.021932","created_date":"2025-10-10T00:00:00"}
