{"id":"https://openalex.org/W2783256104","doi":"https://doi.org/10.1109/cdc.2017.8264277","title":"Improving sparsity in time and space via self-triggered sparse optimal controllers","display_name":"Improving sparsity in time and space via self-triggered sparse optimal controllers","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2783256104","doi":"https://doi.org/10.1109/cdc.2017.8264277","mag":"2783256104"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2017.8264277","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264277","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":["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/A5043710051","display_name":"MirSaleh Bahavarnia","orcid":"https://orcid.org/0000-0001-5665-8002"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"MirSaleh Bahavarnia","raw_affiliation_strings":["Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA","institution_ids":["https://openalex.org/I186143895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047674203","display_name":"Paulo Tabuada","orcid":"https://orcid.org/0000-0002-3417-0951"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paulo Tabuada","raw_affiliation_strings":["Department of Electrical Engineering, University of California at Los Angeles, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of California at Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080167889","display_name":"Christoforos Somarakis","orcid":"https://orcid.org/0000-0003-4601-2501"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christoforos Somarakis","raw_affiliation_strings":["Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA","institution_ids":["https://openalex.org/I186143895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031516064","display_name":"Nader Motee","orcid":"https://orcid.org/0000-0002-0597-3659"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nader Motee","raw_affiliation_strings":["Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA","institution_ids":["https://openalex.org/I186143895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8829,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70558423,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"384","issue":null,"first_page":"4199","last_page":"4204"},"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":0.9987999796867371,"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":0.9987999796867371,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9979000091552734,"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":0.9786999821662903,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6828075647354126},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.629330039024353},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5830081701278687},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5828019976615906},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.5689016580581665},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5270838141441345},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4913274347782135},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4805307984352112},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4548008441925049},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.449806809425354},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.42833802103996277},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4168921709060669},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3166484236717224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2979644536972046}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6828075647354126},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.629330039024353},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5830081701278687},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5828019976615906},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.5689016580581665},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5270838141441345},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4913274347782135},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4805307984352112},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4548008441925049},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.449806809425354},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.42833802103996277},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4168921709060669},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3166484236717224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2979644536972046},{"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2017.8264277","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264277","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7900000214576721,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1504311294","https://openalex.org/W1980183459","https://openalex.org/W1983236941","https://openalex.org/W1985235885","https://openalex.org/W1994929994","https://openalex.org/W2078625090","https://openalex.org/W2111990577","https://openalex.org/W2114469976","https://openalex.org/W2134458410","https://openalex.org/W2153961377","https://openalex.org/W2154718413","https://openalex.org/W2158983145","https://openalex.org/W2569272807","https://openalex.org/W2569898071","https://openalex.org/W2588201621","https://openalex.org/W2735788552","https://openalex.org/W2738219356","https://openalex.org/W2765517411","https://openalex.org/W3102961917"],"related_works":["https://openalex.org/W2007221537","https://openalex.org/W2490690736","https://openalex.org/W2080330449","https://openalex.org/W2099333796","https://openalex.org/W1999058329","https://openalex.org/W2169474978","https://openalex.org/W785766289","https://openalex.org/W2011222276","https://openalex.org/W2185997459","https://openalex.org/W2689884327"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,29,43,46,73,89,96,102,107,112,133,139,152,166,170,193,196,235],"optimal":[3,13,24,69,190],"control":[4,14,18,25,60,70],"of":[5,48,66,98,101,114,188,195],"linear":[6],"timeinvariant":[7],"(LTI)":[8],"systems":[9],"via":[10],"self-triggered":[11],"sparse":[12,189],"(SSOC)":[15],"laws.":[16],"Our":[17],"objective":[19,74],"is":[20,75,135,155,162,173,180,213,232,237],"to":[21,76,128,137,146,164,216],"design":[22],"an":[23],"law":[26,179],"which":[27,81],"stabilizes":[28],"LTI":[30],"system":[31,199],"for":[32,87,94,110],"all":[33],"initial":[34],"conditions,":[35],"requires":[36],"less":[37],"sensing,":[38],"minimizes":[39,45],"communication":[40],"requirements":[41],"between":[42,224],"subsystems,":[44],"number":[47,97,113],"active":[49,115],"actuators,":[50],"and":[51,106,182,228],"provides":[52],"guaranteed":[53],"closed-loop":[54,198],"performance":[55,194,205,226],"bounds.":[56],"To":[57],"achieve":[58],"such":[59],"objectives,":[61],"we":[62,124],"formulate":[63],"a":[64,78,118,126,142,148,159,185,203,222],"sequence":[65,187],"\u00bfo-regularized":[67],"linear-quadratic":[68],"problems,":[71],"wherein":[72],"optimize":[77],"cost":[79],"function":[80],"involves":[82],"three":[83],"penalizing":[84],"terms:":[85],"one":[86,93,109],"maximizing":[88],"inter-execution":[90,122,153,167],"time,":[91],"another":[92],"minimizing":[95,111],"nonzero":[99],"elements":[100],"state":[103],"feedback":[104,149,171],"gain,":[105],"last":[108],"actuators.":[116],"Deriving":[117],"lower":[119],"bound":[120,227],"on":[121],"times,":[123],"propose":[125],"scheme":[127],"solve":[129],"this":[130],"problem.":[131],"First,":[132],"relaxation":[134],"utilized":[136],"cast":[138],"problem":[140],"as":[141],"semi-definite":[143],"program":[144],"(SDP)":[145],"compute":[147],"gain":[150,172],"while":[151,169],"time":[154,168],"kept":[156,174],"fixed.":[157,175],"Second,":[158],"nonlinear":[160],"equation":[161],"solved":[163],"determine":[165],"The":[176],"proposed":[177],"SSOC":[178],"feasible":[181],"results":[183],"in":[184,211,230],"stabilizing":[186],"controllers.":[191],"Additionally,":[192],"resulting":[197],"does":[200],"not":[201],"exceed":[202],"prespecified":[204,225],"bound.":[206],"By":[207],"numerical":[208],"simulations,":[209],"sparsity":[210,229],"time/space":[212,231],"improved":[214],"compared":[215],"periodic":[217],"time-triggered":[218],"LQR":[219],"design.":[220],"Moreover,":[221],"tradeoff":[223],"observed.":[233],"Finally,":[234],"paper":[236],"concluded":[238],"by":[239],"drawing":[240],"some":[241],"future":[242],"directions.":[243]},"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}