{"id":"https://openalex.org/W7159654429","doi":"https://doi.org/10.48550/arxiv.2604.27290","title":"Boundedness of solutions in feedback systems with antithetic controllers","display_name":"Boundedness of solutions in feedback systems with antithetic controllers","publication_year":2026,"publication_date":"2026-04-30","ids":{"openalex":"https://openalex.org/W7159654429","doi":"https://doi.org/10.48550/arxiv.2604.27290"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.27290","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27290","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.27290","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076706861","display_name":"Moh Kamalul Wafi","orcid":"https://orcid.org/0000-0002-2016-5721"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wafi, Moh Kamalul","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122851714","display_name":"Arthur C. B. de Oliveira","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"de Oliveira, Arthur C. B.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5134945161","display_name":"Eduardo D. Sontag","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sontag, Eduardo D.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.5357999801635742,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.5357999801635742,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.08370000123977661,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.07680000364780426,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7861999869346619},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5687999725341797},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5645999908447266},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5508999824523926},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5407999753952026},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4869999885559082},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4862000048160553},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4821999967098236},{"id":"https://openalex.org/keywords/feedback-loop","display_name":"Feedback loop","score":0.4722000062465668},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.46959999203681946}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7861999869346619},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5687999725341797},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5645999908447266},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5508999824523926},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5407999753952026},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4869999885559082},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4862000048160553},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4821999967098236},{"id":"https://openalex.org/C186886427","wikidata":"https://www.wikidata.org/wiki/Q5441213","display_name":"Feedback loop","level":2,"score":0.4722000062465668},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.46959999203681946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39469999074935913},{"id":"https://openalex.org/C3017962763","wikidata":"https://www.wikidata.org/wiki/Q427492","display_name":"Feedback regulation","level":2,"score":0.3912999927997589},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.39100000262260437},{"id":"https://openalex.org/C2984730371","wikidata":"https://www.wikidata.org/wiki/Q6501221","display_name":"Feedback controller","level":3,"score":0.38920000195503235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3889000117778778},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.38609999418258667},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.38339999318122864},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.36719998717308044},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.3540000021457672},{"id":"https://openalex.org/C93586867","wikidata":"https://www.wikidata.org/wiki/Q62527","display_name":"Negative feedback","level":3,"score":0.34940001368522644},{"id":"https://openalex.org/C204322392","wikidata":"https://www.wikidata.org/wiki/Q925922","display_name":"Full state feedback","level":3,"score":0.3425999879837036},{"id":"https://openalex.org/C48207687","wikidata":"https://www.wikidata.org/wiki/Q918004","display_name":"Positive feedback","level":2,"score":0.3395000100135803},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.33000001311302185},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.32739999890327454},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.31859999895095825},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2863999903202057},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.2856000065803528},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.2818000018596649},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.257099986076355},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2540999948978424}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.27290","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27290","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.27290","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27290","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.4446960687637329,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Antithetic":[0],"feedback":[1],"controllers":[2],"have":[3],"become":[4],"a":[5,79,84,139,160,173],"key":[6,150],"experimental":[7],"and":[8,17,38],"theoretical":[9],"tool":[10],"in":[11,26,107,147,171,194],"synthetic":[12],"biology.":[13],"Introduced":[14],"by":[15],"Khammash":[16],"collaborators":[18],"about":[19],"10":[20],"years":[21],"ago,":[22],"they":[23],"are":[24,45],"employed":[25],"order":[27],"to":[28,78,125,144,153,177,187],"achieve":[29],"the":[30,74,97,108,118,149,156,169,188],"practical":[31],"regulation":[32],"of":[33,120,155],"protein":[34],"expression,":[35],"including":[36],"tracking":[37],"robust":[39],"disturbance":[40],"rejection.":[41],"In":[42,92],"closed-loop,":[43],"there":[44],"unique":[46],"equilibria":[47],"which,":[48],"depending":[49],"on":[50],"parameter":[51],"values,":[52],"can":[53,101],"be":[54,192],"unstable.":[55],"It":[56],"had":[57,132],"been":[58],"shown,":[59],"however,":[60],"that":[61,70],"this":[62,127,136],"instability":[63],"is":[64,88,99,152],"not":[65],"arbitrary:":[66],"any":[67],"bounded":[68],"trajectory":[69,90],"stays":[71],"away":[72,167],"from":[73,168,180],"equilibrium":[75,98,170],"must":[76],"converge":[77],"periodic":[80],"orbit.":[81],"This":[82,111,182],"motivated":[83],"long-standing":[85],"open":[86],"question:":[87],"every":[89],"bounded?":[91],"other":[93,195],"words,":[94],"even":[95],"if":[96],"unstable,":[100],"nonlinear":[102],"effects":[103],"prevent":[104],"unbounded":[105],"excursions":[106],"state":[109],"space?":[110],"paper":[112,137],"provides":[113],"an":[114],"affirmative":[115],"answer,":[116],"establishing":[117],"boundedness":[119],"all":[121],"solutions.":[122],"Previous":[123],"attempts":[124],"prove":[126],"fact":[128],"using":[129],"Lyapunov":[130],"functions":[131],"no":[133],"success.":[134],"Instead,":[135],"takes":[138],"completely":[140],"different":[141],"approach,":[142,184],"specific":[143],"antithetic":[145,189],"configurations,":[146],"which":[148,164],"idea":[151],"think":[154],"controller":[157],"as":[158,176,197],"providing":[159],"``persistently":[161],"negative":[162],"feedback''":[163],"acts":[165],"far":[166],"such":[172],"way":[174],"so":[175],"keep":[178],"trajectories":[179],"diverging.":[181],"new":[183],"although":[185],"tailored":[186],"controller,":[190],"might":[191],"useful":[193],"applications":[196],"well.":[198]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-02T00:00:00"}