{"id":"https://openalex.org/W136062973","doi":"https://doi.org/10.1007/978-3-319-00933-9_4","title":"Stability of Fractional Difference Systems with Two Orders","display_name":"Stability of Fractional Difference Systems with Two Orders","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W136062973","doi":"https://doi.org/10.1007/978-3-319-00933-9_4","mag":"136062973"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-00933-9_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-00933-9_4","pdf_url":null,"source":{"id":"https://openalex.org/S4210179954","display_name":"Lecture notes in electrical engineering","issn_l":"1876-1100","issn":["1876-1100","1876-1119"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Electrical Engineering","raw_type":"book-chapter"},"type":"book-chapter","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/A5090243661","display_name":"Ma\u0142gorzata Wyrwas","orcid":"https://orcid.org/0000-0002-2003-7543"},"institutions":[{"id":"https://openalex.org/I1323121030","display_name":"Bialystok University of Technology","ror":"https://ror.org/02bzfsy61","country_code":"PL","type":"education","lineage":["https://openalex.org/I1323121030"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Ma\u0142gorzata Wyrwas","raw_affiliation_strings":["Bialystok University of Technology, Bia\u0142ystok, Poland"],"affiliations":[{"raw_affiliation_string":"Bialystok University of Technology, Bia\u0142ystok, Poland","institution_ids":["https://openalex.org/I1323121030"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053980695","display_name":"Ewa Girejko","orcid":"https://orcid.org/0000-0003-1111-6730"},"institutions":[{"id":"https://openalex.org/I1323121030","display_name":"Bialystok University of Technology","ror":"https://ror.org/02bzfsy61","country_code":"PL","type":"education","lineage":["https://openalex.org/I1323121030"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Ewa Girejko","raw_affiliation_strings":["Bialystok University of Technology, Bia\u0142ystok, Poland"],"affiliations":[{"raw_affiliation_string":"Bialystok University of Technology, Bia\u0142ystok, Poland","institution_ids":["https://openalex.org/I1323121030"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002812156","display_name":"Dorota Mozyrska","orcid":"https://orcid.org/0000-0002-0664-4574"},"institutions":[{"id":"https://openalex.org/I1323121030","display_name":"Bialystok University of Technology","ror":"https://ror.org/02bzfsy61","country_code":"PL","type":"education","lineage":["https://openalex.org/I1323121030"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Dorota Mozyrska","raw_affiliation_strings":["Bialystok University of Technology, Bia\u0142ystok, Poland"],"affiliations":[{"raw_affiliation_string":"Bialystok University of Technology, Bia\u0142ystok, Poland","institution_ids":["https://openalex.org/I1323121030"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019229577","display_name":"Ewa Paw\u0142uszewicz","orcid":"https://orcid.org/0000-0002-3297-7970"},"institutions":[{"id":"https://openalex.org/I1323121030","display_name":"Bialystok University of Technology","ror":"https://ror.org/02bzfsy61","country_code":"PL","type":"education","lineage":["https://openalex.org/I1323121030"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Ewa Paw\u0142uszewicz","raw_affiliation_strings":["Bialystok University of Technology, Bia\u0142ystok, Poland"],"affiliations":[{"raw_affiliation_string":"Bialystok University of Technology, Bia\u0142ystok, Poland","institution_ids":["https://openalex.org/I1323121030"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090243661"],"corresponding_institution_ids":["https://openalex.org/I1323121030"],"apc_list":null,"apc_paid":null,"fwci":2.1419,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.88650307,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"41","last_page":"52"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9995999932289124,"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/T10244","display_name":"Chaos control and synchronization","score":0.9754999876022339,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7699331045150757},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.702094554901123},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5813264846801758},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5432482957839966},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4697920083999634},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4682043194770813},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.420171320438385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14157149195671082},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10208356380462646}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7699331045150757},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.702094554901123},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5813264846801758},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5432482957839966},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4697920083999634},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4682043194770813},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.420171320438385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14157149195671082},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10208356380462646},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-00933-9_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-00933-9_4","pdf_url":null,"source":{"id":"https://openalex.org/S4210179954","display_name":"Lecture notes in electrical engineering","issn_l":"1876-1100","issn":["1876-1100","1876-1119"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Electrical Engineering","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W114976905","https://openalex.org/W841744727","https://openalex.org/W1510531757","https://openalex.org/W1580862096","https://openalex.org/W1605588363","https://openalex.org/W1973577083","https://openalex.org/W1994449495","https://openalex.org/W2004202105","https://openalex.org/W2024904201","https://openalex.org/W2049557302","https://openalex.org/W2058860728","https://openalex.org/W2069284056","https://openalex.org/W2151622640","https://openalex.org/W2154761333","https://openalex.org/W2156552100","https://openalex.org/W3021240268","https://openalex.org/W3106382556","https://openalex.org/W4248179338","https://openalex.org/W4300473623","https://openalex.org/W4311526953","https://openalex.org/W4410282767"],"related_works":["https://openalex.org/W1593898832","https://openalex.org/W2756324413","https://openalex.org/W2142048021","https://openalex.org/W2134075948","https://openalex.org/W2383529437","https://openalex.org/W1790223069","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}