{"id":"https://openalex.org/W1966941373","doi":"https://doi.org/10.1109/cdc.2011.6160274","title":"A small-gain result for orthant-monotone systems in feedback: The non sign-definite case","display_name":"A small-gain result for orthant-monotone systems in feedback: The non sign-definite case","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W1966941373","doi":"https://doi.org/10.1109/cdc.2011.6160274","mag":"1966941373"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160274","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160274","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","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/A5037354850","display_name":"David Angeli","orcid":"https://orcid.org/0000-0002-5311-4306"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]},{"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","IT"],"is_corresponding":true,"raw_author_name":"David Angeli","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, UK","Dipartimento Sistemi e Informatica, University of Firenze, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dipartimento Sistemi e Informatica, University of Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068753451","display_name":"Eduardo D. Sontag","orcid":"https://orcid.org/0000-0001-8020-5783"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eduardo D. Sontag","raw_affiliation_strings":["Department of Mathematics, Rutgers University, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037354850"],"corresponding_institution_ids":["https://openalex.org/I45084792","https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":1.305,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8320527,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"301","issue":null,"first_page":"6049","last_page":"6053"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994999766349792,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994999766349792,"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":0.9973000288009644,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9970999956130981,"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/orthant","display_name":"Orthant","score":0.9966043829917908},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7560521364212036},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6626088619232178},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5429319143295288},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.5180142521858215},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47670620679855347},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3122043311595917},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2412739396095276},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2059612274169922},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10991168022155762},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09630009531974792},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05226811766624451}],"concepts":[{"id":"https://openalex.org/C2780016784","wikidata":"https://www.wikidata.org/wiki/Q2714507","display_name":"Orthant","level":2,"score":0.9966043829917908},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7560521364212036},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6626088619232178},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5429319143295288},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.5180142521858215},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47670620679855347},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3122043311595917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2412739396095276},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2059612274169922},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10991168022155762},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09630009531974792},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05226811766624451},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2011.6160274","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160274","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","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":11,"referenced_works":["https://openalex.org/W240844920","https://openalex.org/W1736530648","https://openalex.org/W1964539053","https://openalex.org/W1998232699","https://openalex.org/W2024525356","https://openalex.org/W2036826525","https://openalex.org/W2050220571","https://openalex.org/W2063268016","https://openalex.org/W2102694374","https://openalex.org/W2147741970","https://openalex.org/W2490056237"],"related_works":["https://openalex.org/W772650738","https://openalex.org/W2044221060","https://openalex.org/W2112958926","https://openalex.org/W2067698461","https://openalex.org/W3037833187","https://openalex.org/W4293414471","https://openalex.org/W2950768703","https://openalex.org/W4299336084","https://openalex.org/W2951013428","https://openalex.org/W2064567872"],"abstract_inverted_index":{"This":[0],"note":[1],"introduces":[2],"a":[3,57],"small-gain":[4],"result":[5],"for":[6,11],"interconnected":[7],"MIMO":[8],"orthant-monotone":[9],"systems":[10],"which":[12],"no":[13],"matching":[14],"condition":[15],"is":[16],"required":[17],"between":[18],"the":[19,28,35],"partial":[20,36],"orders":[21,37],"in":[22,45],"input":[23,46],"and":[24,47,50],"output":[25,48],"spaces":[26,49],"of":[27],"considered":[29],"subsystems.":[30],"Previous":[31],"results":[32,80],"assumed":[33],"that":[34,51],"adopted":[38],"would":[39],"be":[40,62,65],"induced":[41],"by":[42,81],"positivity":[43,53],"cones":[44,54],"such":[52],"should":[55],"fulfill":[56],"compatibility":[58],"rule:":[59],"namely":[60],"either":[61],"coincident":[63],"or":[64,73],"opposite.":[66],"Those":[67],"two":[68],"configurations":[69],"corresponded":[70],"to":[71],"positive-feedback":[72],"negative":[74],"feedback":[75],"cases.":[76],"We":[77],"relax":[78],"those":[79],"allowing":[82],"arbitrary":[83],"orthant":[84],"orders.":[85]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}