{"id":"https://openalex.org/W2943894503","doi":"https://doi.org/10.1007/s11045-019-00654-7","title":"Equivalence of wave linear repetitive processes and the singular 2-D Roesser state-space model","display_name":"Equivalence of wave linear repetitive processes and the singular 2-D Roesser state-space model","publication_year":2019,"publication_date":"2019-05-04","ids":{"openalex":"https://openalex.org/W2943894503","doi":"https://doi.org/10.1007/s11045-019-00654-7","mag":"2943894503"},"language":"en","primary_location":{"id":"doi:10.1007/s11045-019-00654-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-019-00654-7","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://eprints.soton.ac.uk/431846/1/Equivalence_of_wave_linear_repetitive_processes_and_the_singular_2_D_Roesser_state_space_model.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088968414","display_name":"Mohamed S. Boudellioua","orcid":"https://orcid.org/0000-0001-8805-1416"},"institutions":[{"id":"https://openalex.org/I47818738","display_name":"Sultan Qaboos University","ror":"https://ror.org/04wq8zb47","country_code":"OM","type":"education","lineage":["https://openalex.org/I47818738"]}],"countries":["OM"],"is_corresponding":true,"raw_author_name":"M. S. Boudellioua","raw_affiliation_strings":["Department of Mathematics, Sultan Qaboos University, Muscat, Oman"],"raw_orcid":"https://orcid.org/0000-0001-8805-1416","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sultan Qaboos University, Muscat, Oman","institution_ids":["https://openalex.org/I47818738"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066492464","display_name":"Krzysztof Ga\u0142kowski","orcid":"https://orcid.org/0000-0003-4470-2162"},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"K. Galkowski","raw_affiliation_strings":["Institute of Control and Computation Engineering, University of Zielona Gora, Zielona Gora, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Control and Computation Engineering, University of Zielona Gora, Zielona Gora, Poland","institution_ids":["https://openalex.org/I46305939"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081788754","display_name":"Eric Rogers","orcid":"https://orcid.org/0000-0003-0179-9398"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"E. Rogers","raw_affiliation_strings":["Department of Electronics and Computer Science, University of Southampton, Southampton, SO17 1BJ, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Computer Science, University of Southampton, Southampton, SO17 1BJ, UK","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088968414"],"corresponding_institution_ids":["https://openalex.org/I47818738"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.387,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.58884729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"31","issue":"1","first_page":"103","last_page":"116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","score":0.9980999827384949,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9980999827384949,"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/T11429","display_name":"Semiconductor Lasers and Optical Devices","score":0.9962999820709229,"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7560679912567139},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6533294916152954},{"id":"https://openalex.org/keywords/transformation-matrix","display_name":"Transformation matrix","score":0.5010387897491455},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.48155930638313293},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45916256308555603},{"id":"https://openalex.org/keywords/state-space-representation","display_name":"State-space representation","score":0.4591467082500458},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4581829607486725},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4427654445171356},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4346698522567749},{"id":"https://openalex.org/keywords/coprime-integers","display_name":"Coprime integers","score":0.4168815016746521},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41282740235328674},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4124062955379486},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.39996546506881714},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.28895261883735657},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23995181918144226},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11674246191978455},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11179989576339722},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.07124128937721252}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7560679912567139},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6533294916152954},{"id":"https://openalex.org/C165443888","wikidata":"https://www.wikidata.org/wiki/Q1482183","display_name":"Transformation matrix","level":3,"score":0.5010387897491455},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.48155930638313293},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45916256308555603},{"id":"https://openalex.org/C52918065","wikidata":"https://www.wikidata.org/wiki/Q230945","display_name":"State-space representation","level":2,"score":0.4591467082500458},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4581829607486725},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4427654445171356},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4346698522567749},{"id":"https://openalex.org/C23230895","wikidata":"https://www.wikidata.org/wiki/Q104752","display_name":"Coprime integers","level":2,"score":0.4168815016746521},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41282740235328674},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4124062955379486},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.39996546506881714},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.28895261883735657},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23995181918144226},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11674246191978455},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11179989576339722},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.07124128937721252},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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":2,"locations":[{"id":"doi:10.1007/s11045-019-00654-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-019-00654-7","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:eprints.soton.ac.uk:431846","is_oa":true,"landing_page_url":"http://doi.org/10.1007/s11045-019-00654-7>).","pdf_url":"https://eprints.soton.ac.uk/431846/1/Equivalence_of_wave_linear_repetitive_processes_and_the_singular_2_D_Roesser_state_space_model.pdf","source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"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":"Article"}],"best_oa_location":{"id":"pmh:oai:eprints.soton.ac.uk:431846","is_oa":true,"landing_page_url":"http://doi.org/10.1007/s11045-019-00654-7>).","pdf_url":"https://eprints.soton.ac.uk/431846/1/Equivalence_of_wave_linear_repetitive_processes_and_the_singular_2_D_Roesser_state_space_model.pdf","source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"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":"Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3700548624","display_name":null,"funder_award_id":"IG-SCI-DOMS-18-11","funder_id":"https://openalex.org/F4320322573","funder_display_name":"Sultan Qaboos University"}],"funders":[{"id":"https://openalex.org/F4320322573","display_name":"Sultan Qaboos University","ror":"https://ror.org/04wq8zb47"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2943894503.pdf","grobid_xml":"https://content.openalex.org/works/W2943894503.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W130632564","https://openalex.org/W433972222","https://openalex.org/W1500195119","https://openalex.org/W1989867972","https://openalex.org/W2000301461","https://openalex.org/W2015847333","https://openalex.org/W2041242313","https://openalex.org/W2042710540","https://openalex.org/W2044087234","https://openalex.org/W2061284051","https://openalex.org/W2085849252","https://openalex.org/W2100038940","https://openalex.org/W2103759780","https://openalex.org/W2104247012","https://openalex.org/W2121759998","https://openalex.org/W2145058185","https://openalex.org/W2157192413","https://openalex.org/W2159038290","https://openalex.org/W2161724507","https://openalex.org/W2248264385","https://openalex.org/W2521529097","https://openalex.org/W2738320111","https://openalex.org/W2760340760","https://openalex.org/W2766693063","https://openalex.org/W2802087291","https://openalex.org/W2913201816","https://openalex.org/W4212982700","https://openalex.org/W4403842593","https://openalex.org/W6629813693","https://openalex.org/W6672251385"],"related_works":["https://openalex.org/W1999630301","https://openalex.org/W2158334378","https://openalex.org/W2902125134","https://openalex.org/W2579634771","https://openalex.org/W2391598863","https://openalex.org/W2041163344","https://openalex.org/W1560664277","https://openalex.org/W3013517953","https://openalex.org/W2126102982","https://openalex.org/W2756401664"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}