{"id":"https://openalex.org/W2901184851","doi":"https://doi.org/10.1109/iceee.2018.8533983","title":"On the bounds of the fastest admissible decay of generalized energy in controlled LTI systems subject to state and input constraints","display_name":"On the bounds of the fastest admissible decay of generalized energy in controlled LTI systems subject to state and input constraints","publication_year":2018,"publication_date":"2018-09-01","ids":{"openalex":"https://openalex.org/W2901184851","doi":"https://doi.org/10.1109/iceee.2018.8533983","mag":"2901184851"},"language":"en","primary_location":{"id":"doi:10.1109/iceee.2018.8533983","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iceee.2018.8533983","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 15th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","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/A5089851631","display_name":"Istv\u00e1n Selek","orcid":"https://orcid.org/0000-0003-3021-8935"},"institutions":[{"id":"https://openalex.org/I98381234","display_name":"University of Oulu","ror":"https://ror.org/03yj89h83","country_code":"FI","type":"education","lineage":["https://openalex.org/I98381234"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Istvan Selek","raw_affiliation_strings":["Systems Engineering Research Group, University of Oulu, Oulu, Finland"],"affiliations":[{"raw_affiliation_string":"Systems Engineering Research Group, University of Oulu, Oulu, Finland","institution_ids":["https://openalex.org/I98381234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010211558","display_name":"Enso Ikonen","orcid":"https://orcid.org/0000-0002-8975-2940"},"institutions":[{"id":"https://openalex.org/I98381234","display_name":"University of Oulu","ror":"https://ror.org/03yj89h83","country_code":"FI","type":"education","lineage":["https://openalex.org/I98381234"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Enso Ikonen","raw_affiliation_strings":["Systems Engineering Research Group, University of Oulu, Oulu, Finland"],"affiliations":[{"raw_affiliation_string":"Systems Engineering Research Group, University of Oulu, Oulu, Finland","institution_ids":["https://openalex.org/I98381234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089851631"],"corresponding_institution_ids":["https://openalex.org/I98381234"],"apc_list":null,"apc_paid":null,"fwci":0.1839,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51850088,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9973999857902527,"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/T12772","display_name":"Control and Stability of Dynamical Systems","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"}}],"keywords":[{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6589123606681824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6225747466087341},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5904061198234558},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.578932523727417},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5467092990875244},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5418804883956909},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5354106426239014},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5249728560447693},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5113663077354431},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5040242075920105},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4694965183734894},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4474468529224396},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3911776542663574},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3350556790828705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20693063735961914},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19419535994529724},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1905898153781891},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1606121063232422},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11205124855041504},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07754853367805481}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6589123606681824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6225747466087341},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5904061198234558},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.578932523727417},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5467092990875244},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5418804883956909},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5354106426239014},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5249728560447693},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5113663077354431},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5040242075920105},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4694965183734894},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4474468529224396},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3911776542663574},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3350556790828705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20693063735961914},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19419535994529724},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1905898153781891},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1606121063232422},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11205124855041504},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07754853367805481},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iceee.2018.8533983","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iceee.2018.8533983","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 15th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.9100000262260437,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1509277005","https://openalex.org/W1696966556","https://openalex.org/W1969652056","https://openalex.org/W1993639554","https://openalex.org/W2085985420","https://openalex.org/W2111976265","https://openalex.org/W2134712093","https://openalex.org/W2145061484","https://openalex.org/W2802091233","https://openalex.org/W3210839039","https://openalex.org/W6637613465","https://openalex.org/W6642515672"],"related_works":["https://openalex.org/W2142014702","https://openalex.org/W2074717584","https://openalex.org/W2210722882","https://openalex.org/W2168383058","https://openalex.org/W2164703465","https://openalex.org/W2143247663","https://openalex.org/W1864017312","https://openalex.org/W2050693590","https://openalex.org/W2009168760","https://openalex.org/W4300989278"],"abstract_inverted_index":{"This":[0],"paper":[1],"contributes":[2],"to":[3,40,122],"the":[4,25,59,67,75,87,93,103,124],"field":[5],"of":[6,27,63,69,102,107,113],"Lyapunov":[7],"stability":[8],"theory":[9],"where":[10],"positive":[11],"definite":[12],"radially":[13],"unbounded":[14],"functions":[15],"-":[16,29],"which":[17,43,57,74],"can":[18],"be":[19],"interpreted":[20],"as":[21],"generalized":[22,64,108],"energy":[23,65,109],"for":[24,73],"system":[26,38,77],"interest":[28],"play":[30],"a":[31,35,82,97],"central":[32],"role.":[33],"Given":[34],"discrete-time":[36],"LTI":[37],"subject":[39],"hard":[41],"constraints,":[42],"are":[44,55],"affine":[45],"in":[46],"state":[47],"and":[48,52],"control":[49,71,115],"variables,":[50],"upper":[51],"lower":[53,94,100],"barriers":[54],"developed":[56],"bound":[58,101],"fastest":[60,104],"possible":[61,105],"decay":[62,106],"over":[66,110],"set":[68,85,112],"admissible":[70,114],"policies":[72],"closed-loop":[76],"is":[78,90,96,120],"asymptotically":[79],"stable":[80],"on":[81],"compact":[83],"polyhedral":[84],"including":[86],"origin.":[88],"It":[89],"shown":[91],"that":[92],"barrier":[95],"greatest":[98],"feasible":[99],"any":[111],"policies.":[116],"A":[117],"simple":[118],"example":[119],"given":[121],"illustrate":[123],"main":[125],"results.":[126]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}