{"id":"https://openalex.org/W1485738159","doi":"https://doi.org/10.1109/cdc.2003.1272804","title":"Polynomial filtering for stochastic systems with markovian switching coefficients","display_name":"Polynomial filtering for stochastic systems with markovian switching coefficients","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1485738159","doi":"https://doi.org/10.1109/cdc.2003.1272804","mag":"1485738159"},"language":"en","primary_location":{"id":"pmh:oai:boa.unimib.it:10281/246628","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/246628","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},"type":"conference-paper","indexed_in":[],"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/A5069495460","display_name":"Pasquale Palumbo","orcid":"https://orcid.org/0000-0002-9371-2802"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]},{"id":"https://openalex.org/I4210162062","display_name":"Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti","ror":"https://ror.org/054ye0e45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210155236","https://openalex.org/I4210162062"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Palumbo, P","raw_affiliation_strings":["Istituto di Analisi dei Sistemi e Informatica del CNR A. Ruberti, IASI-CNR, Rome, Italy","Dipartimento di Ingegneria Elettrica, Universit\u00e0 degli Studi dell'' Aquila, L'Aquila, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto di Analisi dei Sistemi e Informatica del CNR A. Ruberti, IASI-CNR, Rome, Italy","institution_ids":["https://openalex.org/I4210162062"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Elettrica, Universit\u00e0 degli Studi dell'' Aquila, L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042421338","display_name":"Alfredo Germani","orcid":"https://orcid.org/0000-0003-4457-8800"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]},{"id":"https://openalex.org/I4210162062","display_name":"Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti","ror":"https://ror.org/054ye0e45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210155236","https://openalex.org/I4210162062"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Germani, A","raw_affiliation_strings":["Dipartimento di Ingegneria Elettrica, Universit\u00e0 degli Studi dell'' Aquila, L'Aquila, Italy","Istituto di Analisi dei Sistemi e Informatica del CNR A. Ruberti, IASI-CNR, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Elettrica, Universit\u00e0 degli Studi dell'' Aquila, L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Istituto di Analisi dei Sistemi e Informatica del CNR A. Ruberti, IASI-CNR, Rome, Italy","institution_ids":["https://openalex.org/I4210162062"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031215647","display_name":"Costanzo Manes","orcid":"https://orcid.org/0000-0002-0771-7413"},"institutions":[{"id":"https://openalex.org/I4210162062","display_name":"Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti","ror":"https://ror.org/054ye0e45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210155236","https://openalex.org/I4210162062"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Manes, C","raw_affiliation_strings":["Istituto di Analisi dei Sistemi e Informatica del CNR A. Ruberti, IASI-CNR, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto di Analisi dei Sistemi e Informatica del CNR A. Ruberti, IASI-CNR, Rome, Italy","institution_ids":["https://openalex.org/I4210162062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9958000183105469,"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/polynomial","display_name":"Polynomial","score":0.684669554233551},{"id":"https://openalex.org/keywords/multiplicative-noise","display_name":"Multiplicative noise","score":0.6239380240440369},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5845261812210083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5762362480163574},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5015671253204346},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.490151971578598},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.4722639322280884},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.42228174209594727},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.41797125339508057},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41459953784942627},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3102371096611023},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09585374593734741},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08944272994995117}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.684669554233551},{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.6239380240440369},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5845261812210083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5762362480163574},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5015671253204346},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.490151971578598},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.4722639322280884},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.42228174209594727},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.41797125339508057},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41459953784942627},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3102371096611023},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09585374593734741},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08944272994995117},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:boa.unimib.it:10281/246628","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/246628","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1565127295","https://openalex.org/W1586451868","https://openalex.org/W1997253917","https://openalex.org/W2008021243","https://openalex.org/W2021257119","https://openalex.org/W2058812922","https://openalex.org/W2092551027","https://openalex.org/W2114690521","https://openalex.org/W2115981198","https://openalex.org/W2117397690","https://openalex.org/W2132899440","https://openalex.org/W2159554537","https://openalex.org/W2169409209","https://openalex.org/W2563453116"],"related_works":["https://openalex.org/W2100121758","https://openalex.org/W3022718941","https://openalex.org/W4287812451","https://openalex.org/W1996414039","https://openalex.org/W2506602630","https://openalex.org/W3097284316","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"the":[3,29,32,37,41,61,71,81,106],"state":[4,57],"estimation":[5],"problem":[6],"for":[7,28,85],"discrete-time":[8],"Markovian":[9],"switching":[10,43],"systems":[11,44,47],"affected":[12],"by":[13,52],"additive":[14],"noise":[15],"(not":[16],"necessarily":[17],"Gaussian)":[18],"is":[19,36],"solved":[20],"following":[21],"a":[22,55,66,103],"polynomial":[23,34,63,77],"approach.":[24],"The":[25],"key":[26],"point":[27],"derivation":[30],"of":[31,54,65,80,105],"optimal":[33,62],"filter":[35,64],"possibility":[38],"to":[39,95],"represent":[40],"Markov":[42],"as":[45,102],"bilinear":[46],"(linear":[48],"drift,":[49],"multiplicative":[50],"noise)":[51],"means":[53],"suitable":[56],"augmentation.":[58],"By":[59],"construction,":[60],"given":[67],"degree":[68],"v":[69,86],"provides":[70],"minimum":[72],"error":[73],"variance":[74],"among":[75],"all":[76],"output":[78],"transformations":[79],"same":[82],"degree.":[83],"Obviously,":[84],"&gt;":[87],"1":[88],"better":[89],"performances":[90],"are":[91,100],"obtained":[92],"with":[93],"respect":[94],"linear":[96],"filters.":[97],"Simulation":[98],"results":[99],"reported":[101],"validation":[104],"theory.":[107]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-26T07:53:14.480251","created_date":"2025-10-10T00:00:00"}
