{"id":"https://openalex.org/W2783862205","doi":"https://doi.org/10.1109/cdc.2017.8264210","title":"On delay margin bounds of discrete-time systems","display_name":"On delay margin bounds of discrete-time systems","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2783862205","doi":"https://doi.org/10.1109/cdc.2017.8264210","mag":"2783862205"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2017.8264210","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264210","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":"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/A5029021585","display_name":"Yuanye Chen","orcid":"https://orcid.org/0000-0003-4618-2711"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Yuanye Chen","raw_affiliation_strings":["Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080319587","display_name":"Adil Zulfiqar","orcid":"https://orcid.org/0000-0002-1221-9769"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Adil Zulfiqar","raw_affiliation_strings":["Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045633477","display_name":"Dan Ma","orcid":"https://orcid.org/0000-0002-2563-1840"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dan Ma","raw_affiliation_strings":["College of Information Science and Engineering, Northeastern University, Shenyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028730873","display_name":"Yang Shi","orcid":"https://orcid.org/0000-0003-1337-5322"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Yang Shi","raw_affiliation_strings":["Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100428821","display_name":"Jie Chen","orcid":"https://orcid.org/0000-0003-3171-1887"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Jie Chen","raw_affiliation_strings":["Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23215557,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":null,"first_page":"3751","last_page":"3756"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9973999857902527,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.989799976348877,"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/control-theory","display_name":"Control theory (sociology)","score":0.6532222032546997},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6380150318145752},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.6254128217697144},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5423070788383484},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49459049105644226},{"id":"https://openalex.org/keywords/phase-margin","display_name":"Phase margin","score":0.4942179024219513},{"id":"https://openalex.org/keywords/pole\u2013zero-plot","display_name":"Pole\u2013zero plot","score":0.4603322446346283},{"id":"https://openalex.org/keywords/elmore-delay","display_name":"Elmore delay","score":0.4565860629081726},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4547604024410248},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45075979828834534},{"id":"https://openalex.org/keywords/margin","display_name":"Margin (machine learning)","score":0.42410194873809814},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4150407910346985},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.41045671701431274},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4046025574207306},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.36605513095855713},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.27336788177490234},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.22529789805412292},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.13714030385017395},{"id":"https://openalex.org/keywords/propagation-delay","display_name":"Propagation delay","score":0.09504079818725586},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06999912858009338}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6532222032546997},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6380150318145752},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.6254128217697144},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5423070788383484},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49459049105644226},{"id":"https://openalex.org/C81455027","wikidata":"https://www.wikidata.org/wiki/Q7180955","display_name":"Phase margin","level":5,"score":0.4942179024219513},{"id":"https://openalex.org/C43656286","wikidata":"https://www.wikidata.org/wiki/Q2100961","display_name":"Pole\u2013zero plot","level":3,"score":0.4603322446346283},{"id":"https://openalex.org/C84434228","wikidata":"https://www.wikidata.org/wiki/Q4531332","display_name":"Elmore delay","level":4,"score":0.4565860629081726},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4547604024410248},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45075979828834534},{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.42410194873809814},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4150407910346985},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.41045671701431274},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4046025574207306},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.36605513095855713},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.27336788177490234},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.22529789805412292},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.13714030385017395},{"id":"https://openalex.org/C90806461","wikidata":"https://www.wikidata.org/wiki/Q1144416","display_name":"Propagation delay","level":2,"score":0.09504079818725586},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06999912858009338},{"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/C145366948","wikidata":"https://www.wikidata.org/wiki/Q178947","display_name":"Operational amplifier","level":4,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C174086752","wikidata":"https://www.wikidata.org/wiki/Q5253471","display_name":"Delay calculation","level":3,"score":0.0},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2017.8264210","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264210","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W397042161","https://openalex.org/W610730700","https://openalex.org/W616818565","https://openalex.org/W1506119886","https://openalex.org/W1988098342","https://openalex.org/W2071497335","https://openalex.org/W2090262841","https://openalex.org/W2102368095","https://openalex.org/W2114115376","https://openalex.org/W2121117794","https://openalex.org/W2130826118","https://openalex.org/W2145357731","https://openalex.org/W2149232645","https://openalex.org/W2160684217","https://openalex.org/W2170140261","https://openalex.org/W2170358486","https://openalex.org/W2344359354","https://openalex.org/W2400848186","https://openalex.org/W2470418570","https://openalex.org/W2476002252","https://openalex.org/W2493271798","https://openalex.org/W2506632866","https://openalex.org/W3210839039","https://openalex.org/W4247607861"],"related_works":["https://openalex.org/W2127658470","https://openalex.org/W2520286951","https://openalex.org/W2021257492","https://openalex.org/W2735170708","https://openalex.org/W2892536390","https://openalex.org/W2314392672","https://openalex.org/W1987353685","https://openalex.org/W2898817073","https://openalex.org/W2250067984","https://openalex.org/W2977551389"],"abstract_inverted_index":{"This":[0],"paper":[1,141],"studies":[2],"the":[3,38,51,66,71,104,128,136,151,162],"delay":[4,39,106,130,152],"margin":[5,107,131],"problem":[6,108],"of":[7,54,87,147,165],"discrete-time,":[8],"linear":[9],"time-invariant":[10],"(LTI)":[11],"systems.":[12],"For":[13,73],"general":[14],"LTI":[15,59],"plants":[16,153],"with":[17],"multiple":[18],"unstable":[19,75],"poles":[20],"and":[21,30,43,58,93,158],"nonminimum":[22],"phase":[23],"zeros,":[24],"we":[25,77],"employ":[26],"analytic":[27],"function":[28],"interpolation":[29],"rational":[31],"approximation":[32],"techniques":[33],"to":[34,69,89,120,133],"derive":[35],"bounds":[36,46,80,137],"on":[37,65,127],"margin.":[40],"Readily":[41],"computable":[42],"explicit":[44],"lower":[45],"are":[47,86],"found":[48],"by":[49,82],"computing":[50],"real":[52],"eigenvalues":[53],"a":[55,113,144],"constant":[56],"matrix,":[57],"controllers":[60],"can":[61,154],"be":[62,121,155],"synthesized":[63],"based":[64],"control":[67,91],"theory":[68],"achieve":[70],"bounds.":[72],"first-order":[74],"plants,":[76],"also":[78],"obtain":[79],"achievable":[81],"PID":[83,90],"controllers,":[84],"which":[85,117,150],"interest":[88],"design":[92],"implementation.":[94],"It":[95],"is":[96,118],"worth":[97],"noting":[98],"that":[99],"unlike":[100],"its":[101],"continuous-time":[102],"counterpart,":[103],"discrete-time":[105,129],"being":[109],"considered":[110],"herein":[111],"constitutes":[112],"simultaneous":[114,166],"stabilization":[115,167],"problem,":[116],"known":[119],"rather":[122],"difficult.":[123],"While":[124],"previous":[125],"work":[126],"led":[132],"negative":[134],"results,":[135],"developed":[138],"in":[139,159,169],"this":[140],"provide":[142],"instead":[143],"guaranteed":[145],"range":[146],"delays":[148],"within":[149],"robustly":[156],"stabilized,":[157],"turn":[160],"solve":[161],"special":[163],"class":[164],"problems":[168],"question.":[170]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}