{"id":"https://openalex.org/W2571668331","doi":"https://doi.org/10.1109/ecc.2016.7810439","title":"New results and algorithms for computing storage functions: The lossless/all-pass cases","display_name":"New results and algorithms for computing storage functions: The lossless/all-pass cases","publication_year":2016,"publication_date":"2016-06-01","ids":{"openalex":"https://openalex.org/W2571668331","doi":"https://doi.org/10.1109/ecc.2016.7810439","mag":"2571668331"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2016.7810439","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2016.7810439","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 European Control Conference (ECC)","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/A5101749736","display_name":"Sandeep Kumar","orcid":"https://orcid.org/0000-0002-4262-3375"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sandeep Kumar","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Bombay, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Bombay, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042858792","display_name":"Chayan Bhawal","orcid":"https://orcid.org/0000-0003-3477-3725"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Chayan Bhawal","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Bombay, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Bombay, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022706065","display_name":"Debasattam Pal","orcid":"https://orcid.org/0000-0002-4886-3003"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Debasattam Pal","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Bombay, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Bombay, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004471796","display_name":"Madhu N. Belur","orcid":"https://orcid.org/0000-0002-1942-6293"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Madhu N. Belur","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Bombay, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Bombay, India","institution_ids":["https://openalex.org/I162827531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I162827531"],"apc_list":null,"apc_paid":null,"fwci":0.7096,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68970117,"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":"1117","last_page":"1122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9951000213623047,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/lossless-compression","display_name":"Lossless compression","score":0.7209616303443909},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5371798276901245},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.49362337589263916},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.493526816368103},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.4899972975254059},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4404093325138092},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4203934669494629},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4118272662162781},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38949257135391235},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33249369263648987},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32505130767822266},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.3174055814743042},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.26270365715026855},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.20031878352165222},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20026624202728271}],"concepts":[{"id":"https://openalex.org/C81081738","wikidata":"https://www.wikidata.org/wiki/Q55542","display_name":"Lossless compression","level":3,"score":0.7209616303443909},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5371798276901245},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.49362337589263916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.493526816368103},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.4899972975254059},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4404093325138092},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4203934669494629},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4118272662162781},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38949257135391235},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33249369263648987},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32505130767822266},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.3174055814743042},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.26270365715026855},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.20031878352165222},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20026624202728271},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/ecc.2016.7810439","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2016.7810439","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 European Control Conference (ECC)","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":19,"referenced_works":["https://openalex.org/W574171861","https://openalex.org/W612494133","https://openalex.org/W1551480811","https://openalex.org/W1600349401","https://openalex.org/W1968780839","https://openalex.org/W1976856287","https://openalex.org/W2002357820","https://openalex.org/W2003256174","https://openalex.org/W2029018540","https://openalex.org/W2100548445","https://openalex.org/W2169328438","https://openalex.org/W2177207193","https://openalex.org/W2480611454","https://openalex.org/W2798813531","https://openalex.org/W3210839039","https://openalex.org/W4212995568","https://openalex.org/W4388319978","https://openalex.org/W6721509624","https://openalex.org/W7056378247"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2105459831","https://openalex.org/W1546579375","https://openalex.org/W2127238600","https://openalex.org/W1563296412","https://openalex.org/W2114791549","https://openalex.org/W16457797","https://openalex.org/W2792258377","https://openalex.org/W1530596433","https://openalex.org/W2096105566"],"abstract_inverted_index":{"Storage":[0],"functions,":[1],"which":[2],"are":[3,23,117],"also":[4],"the":[5,26,46,53,57,61,86,146,161,179,185,193,200,205,209,212],"Algebraic":[6,28],"Riccati":[7,29],"Inequality":[8],"(ARI)":[9],"solutions,":[10],"play":[11],"an":[12],"important":[13],"role":[14],"in":[15,43,56,150,192],"many":[16],"optimal":[17],"control/estimation":[18],"problems.":[19],"Extreme":[20],"storage":[21,33,97,130],"functions":[22,34,98,131],"solutions":[24],"to":[25,160,184],"corresponding":[27],"Equation":[30],"(ARE).":[31],"While":[32],"exist":[35,90],"under":[36],"assumption":[37,42],"of":[38,45,60,76,96,129,145,163,165,175,187,189],"dissipativity,":[39],"a":[40],"key":[41],"formulation":[44],"ARE/ARI":[47],"is":[48,102,158,170,182,211],"certain":[49],"`regularity":[50],"conditions'":[51],"on":[52,208],"feedthrough":[54],"term":[55],"input/state/output":[58],"representation":[59],"system.":[62],"For":[63],"example,":[64],"lossless":[65],"and":[66,110,135,141,178,219],"all-pass":[67],"systems":[68,101,134],"do":[69],"not":[70,89,103],"meet":[71],"such":[72,92,113],"regularity":[73],"conditions":[74],"(nonsingularity":[75],"D":[77],"+":[78],"DTand":[79],"I":[80],"-":[81],"DTD":[82],"respectively).":[83],"And":[84],"hence":[85],"ARE":[87,107],"does":[88],"for":[91,99,112,127,132,138],"systems.":[93],"Consequently,":[94],"computation":[95,128],"lossless/all-pass":[100,133],"possible":[104],"by":[105,172],"conventional":[106],"based":[108,207],"methods,":[109],"therefore,":[111],"systems,":[114],"different":[115,155],"techniques":[116],"needed.":[118],"In":[119],"this":[120,151],"paper":[121,152],"we":[122],"present":[123],"three":[124,201],"new":[125],"algorithms":[126],"compare":[136],"them":[137],"numerical":[139,220],"accuracy":[140],"computational":[142,217],"efficiency.":[143],"Each":[144],"proposed":[147],"methods":[148,202],"presented":[149],"comes":[153],"from":[154,214],"viewpoints.":[156],"One":[157],"linked":[159,183],"notion":[162,186],"Bezoutian":[164,210],"two":[166],"polynomials,":[167],"while":[168],"another":[169],"motivated":[171],"Foster":[173],"realization":[174],"LC":[176],"circuits":[177],"third":[180],"method":[181,206],"trajectories":[188],"minimal":[190],"dissipation":[191],"behavioral":[194],"approach.":[195],"A":[196],"comparative":[197],"study":[198],"among":[199],"shows":[203],"that":[204],"best":[213],"both":[215],"perspectives:":[216],"time":[218],"accuracy.":[221]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}