{"id":"https://openalex.org/W1213358415","doi":"https://doi.org/10.1007/0-387-23467-5_12","title":"An Inverse Problem for the Telegraph Equation","display_name":"An Inverse Problem for the Telegraph Equation","publication_year":2006,"publication_date":"2006-01-14","ids":{"openalex":"https://openalex.org/W1213358415","doi":"https://doi.org/10.1007/0-387-23467-5_12","mag":"1213358415"},"language":"en","primary_location":{"id":"doi:10.1007/0-387-23467-5_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/0-387-23467-5_12","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F0-387-23467-5_12.pdf","source":{"id":"https://openalex.org/S4306463519","display_name":"Kluwer Academic Publishers eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP International Federation for Information Processing","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F0-387-23467-5_12.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109347019","display_name":"Alexander B. Kurzhanski","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]},{"id":"https://openalex.org/I4210150146","display_name":"Moscow State University","ror":"https://ror.org/050a13t43","country_code":"TJ","type":"education","lineage":["https://openalex.org/I4210150146"]}],"countries":["RU","TJ"],"is_corresponding":false,"raw_author_name":"A. B. Kurzhanski","raw_affiliation_strings":["Moscow State University, Russia","Moscow State  University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow State University, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Moscow State  University","institution_ids":["https://openalex.org/I4210150146"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087846436","display_name":"\u041c. \u041c. \u0421\u043e\u0440\u043e\u043a\u0438\u043d\u0430","orcid":"https://orcid.org/0000-0002-9516-626X"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]},{"id":"https://openalex.org/I4210150146","display_name":"Moscow State University","ror":"https://ror.org/050a13t43","country_code":"TJ","type":"education","lineage":["https://openalex.org/I4210150146"]}],"countries":["RU","TJ"],"is_corresponding":false,"raw_author_name":"M. M. Sorokina","raw_affiliation_strings":["Moscow State University, Russia","Moscow State  University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow State University, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Moscow State  University","institution_ids":["https://openalex.org/I4210150146"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02432585,"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":"177","last_page":"189"},"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":0.9958999752998352,"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":0.9958999752998352,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9323999881744385,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/observability","display_name":"Observability","score":0.8429340124130249},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5868523716926575},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5830501317977905},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5756940245628357},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4932710528373718},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.48244982957839966},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.43041715025901794},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.42604315280914307},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4123903512954712},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3712347745895386},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36184537410736084},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3056064248085022},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28483763337135315},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2580503821372986},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1674332618713379},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.15168464183807373},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0609089732170105},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.059050917625427246}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.8429340124130249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5868523716926575},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5830501317977905},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5756940245628357},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4932710528373718},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.48244982957839966},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.43041715025901794},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.42604315280914307},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4123903512954712},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3712347745895386},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36184537410736084},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3056064248085022},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28483763337135315},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2580503821372986},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1674332618713379},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.15168464183807373},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0609089732170105},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.059050917625427246}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/0-387-23467-5_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/0-387-23467-5_12","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F0-387-23467-5_12.pdf","source":{"id":"https://openalex.org/S4306463519","display_name":"Kluwer Academic Publishers eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP International Federation for Information Processing","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/0-387-23467-5_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/0-387-23467-5_12","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F0-387-23467-5_12.pdf","source":{"id":"https://openalex.org/S4306463519","display_name":"Kluwer Academic Publishers eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP International Federation for Information Processing","raw_type":"book-chapter"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8999999761581421}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1213358415.pdf","grobid_xml":"https://content.openalex.org/works/W1213358415.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W121277247","https://openalex.org/W1248197218","https://openalex.org/W1501375468","https://openalex.org/W1645397384","https://openalex.org/W2132792595","https://openalex.org/W2887053799","https://openalex.org/W4252093029","https://openalex.org/W4285719527","https://openalex.org/W6653780080"],"related_works":["https://openalex.org/W2046459260","https://openalex.org/W2967463586","https://openalex.org/W2765830098","https://openalex.org/W1971989957","https://openalex.org/W2517338020","https://openalex.org/W3157641275","https://openalex.org/W4312300846","https://openalex.org/W4206221578","https://openalex.org/W3029572990","https://openalex.org/W2615757685"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,28,40],"the":[4,14,22,36,76,80],"problem":[5],"of":[6,16,24,33,59,75,79],"state":[7,78],"estimation":[8],"for":[9,50,56],"a":[10],"hyperbolic":[11,37],"equation":[12,39],"in":[13],"presence":[15],"unknown,":[17],"but":[18],"bounded":[19],"disturbances,":[20],"on":[21,63],"basis":[23],"information":[25],"from":[26],"sensors":[27],"finite-dimensional":[29],"outputs.":[30],"The":[31],"object":[32],"investigation":[34],"is":[35],"telegraph":[38],"energy":[41],"dissipation.":[42],"Observability":[43],"properties":[44],"similar":[45],"to":[46],"those":[47],"introduced":[48,70],"earlier":[49],"parabolic":[51],"systems":[52],"([])":[53],"are":[54,69,86],"checked":[55],"various":[57],"types":[58],"measurement":[60],"sensors.":[61],"Further":[62],"recurrent":[64],"guaranteed":[65],"minmax":[66],"filtering":[67],"procedures":[68],"which":[71],"give":[72],"dynamic":[73],"estimates":[74],"current":[77],"system":[81],"and":[82],"dual":[83],"control":[84],"problems":[85],"indicated":[87],"as":[88],"well.":[89]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
