{"id":"https://openalex.org/W1890733421","doi":"https://doi.org/10.1007/s11045-015-0349-0","title":"Controllability and observability analysis of continuous-time multi-order fractional systems","display_name":"Controllability and observability analysis of continuous-time multi-order fractional systems","publication_year":2015,"publication_date":"2015-07-24","ids":{"openalex":"https://openalex.org/W1890733421","doi":"https://doi.org/10.1007/s11045-015-0349-0","mag":"1890733421"},"language":"en","primary_location":{"id":"doi:10.1007/s11045-015-0349-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-015-0349-0","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056523813","display_name":"Mohammad Reza Tavakoli","orcid":"https://orcid.org/0000-0002-6851-8389"},"institutions":[{"id":"https://openalex.org/I2799282979","display_name":"Islamic Azad University, Isfahan","ror":"https://ror.org/039zhhm92","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I2799282979"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mohammad Tavakoli","raw_affiliation_strings":["Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran","Department of Electrical engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran","institution_ids":["https://openalex.org/I2799282979"]},{"raw_affiliation_string":"Department of Electrical engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran","institution_ids":["https://openalex.org/I2799282979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061907528","display_name":"Mohammad Tabatabaei","orcid":"https://orcid.org/0000-0003-4307-2314"},"institutions":[{"id":"https://openalex.org/I2799282979","display_name":"Islamic Azad University, Isfahan","ror":"https://ror.org/039zhhm92","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I2799282979"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Tabatabaei","raw_affiliation_strings":["Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran","Department of Electrical engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran","institution_ids":["https://openalex.org/I2799282979"]},{"raw_affiliation_string":"Department of Electrical engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran","institution_ids":["https://openalex.org/I2799282979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056523813"],"corresponding_institution_ids":["https://openalex.org/I2799282979"],"apc_list":null,"apc_paid":null,"fwci":1.0223,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7915386,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"28","issue":"2","first_page":"427","last_page":"450"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9990000128746033,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9990000128746033,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9988999962806702,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/controllability","display_name":"Controllability","score":0.9866588711738586},{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.9860516786575317},{"id":"https://openalex.org/keywords/controllability-gramian","display_name":"Controllability Gramian","score":0.8393234014511108},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.7277112007141113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6611859798431396},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.639896035194397},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5345845222473145},{"id":"https://openalex.org/keywords/gramian-matrix","display_name":"Gramian matrix","score":0.5302326679229736},{"id":"https://openalex.org/keywords/network-controllability","display_name":"Network controllability","score":0.4773257374763489},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4482300281524658},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4122597873210907},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22179150581359863},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14009755849838257},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.05878990888595581}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9866588711738586},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.9860516786575317},{"id":"https://openalex.org/C143461762","wikidata":"https://www.wikidata.org/wiki/Q83587","display_name":"Controllability Gramian","level":3,"score":0.8393234014511108},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.7277112007141113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6611859798431396},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.639896035194397},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5345845222473145},{"id":"https://openalex.org/C77246614","wikidata":"https://www.wikidata.org/wiki/Q1409400","display_name":"Gramian matrix","level":3,"score":0.5302326679229736},{"id":"https://openalex.org/C41982775","wikidata":"https://www.wikidata.org/wiki/Q7000977","display_name":"Network controllability","level":4,"score":0.4773257374763489},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4482300281524658},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4122597873210907},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22179150581359863},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14009755849838257},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.05878990888595581},{"id":"https://openalex.org/C117045392","wikidata":"https://www.wikidata.org/wiki/Q4899215","display_name":"Betweenness centrality","level":3,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11045-015-0349-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-015-0349-0","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W207094665","https://openalex.org/W655150127","https://openalex.org/W1265081524","https://openalex.org/W1974672650","https://openalex.org/W1979273932","https://openalex.org/W1996422518","https://openalex.org/W2007913673","https://openalex.org/W2013401229","https://openalex.org/W2032859305","https://openalex.org/W2034732861","https://openalex.org/W2035779518","https://openalex.org/W2043465077","https://openalex.org/W2044193890","https://openalex.org/W2045616190","https://openalex.org/W2048702666","https://openalex.org/W2056090360","https://openalex.org/W2063133641","https://openalex.org/W2068812300","https://openalex.org/W2091753737","https://openalex.org/W2095311596","https://openalex.org/W2097522250","https://openalex.org/W2116647872","https://openalex.org/W2116895803","https://openalex.org/W2138685557","https://openalex.org/W2139207988","https://openalex.org/W2155836540","https://openalex.org/W2168270442","https://openalex.org/W2202493808","https://openalex.org/W2481180091","https://openalex.org/W2493586631","https://openalex.org/W2506586217","https://openalex.org/W2787959293","https://openalex.org/W4213077092","https://openalex.org/W4252280335","https://openalex.org/W4283658368","https://openalex.org/W6748396876","https://openalex.org/W7014867664"],"related_works":["https://openalex.org/W2577309101","https://openalex.org/W4206193827","https://openalex.org/W3045663012","https://openalex.org/W4294558370","https://openalex.org/W2912925551","https://openalex.org/W176642733","https://openalex.org/W3010123906","https://openalex.org/W3011591466","https://openalex.org/W1890733421","https://openalex.org/W3113298909"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-30T09:15:22.047038","created_date":"2025-10-10T00:00:00"}