{"id":"https://openalex.org/W2170332703","doi":"https://doi.org/10.1109/acc.2011.5990637","title":"Generalized frequency response of the nonlinear second order system","display_name":"Generalized frequency response of the nonlinear second order system","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2170332703","doi":"https://doi.org/10.1109/acc.2011.5990637","mag":"2170332703"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2011.5990637","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5990637","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","raw_type":"proceedings-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/A5026731398","display_name":"Ashraf Omran","orcid":"https://orcid.org/0000-0002-4071-9381"},"institutions":[{"id":"https://openalex.org/I81365321","display_name":"Old Dominion University","ror":"https://ror.org/04zjtrb98","country_code":"US","type":"education","lineage":["https://openalex.org/I81365321"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ashraf Omran","raw_affiliation_strings":["Department of Mechanical and AeroSpace Engineering, Old Dominion University, Norfolk, VA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and AeroSpace Engineering, Old Dominion University, Norfolk, VA, USA","institution_ids":["https://openalex.org/I81365321"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083753768","display_name":"Brett Newman","orcid":"https://orcid.org/0009-0005-6494-4371"},"institutions":[{"id":"https://openalex.org/I81365321","display_name":"Old Dominion University","ror":"https://ror.org/04zjtrb98","country_code":"US","type":"education","lineage":["https://openalex.org/I81365321"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brett Newman","raw_affiliation_strings":["Department of Mechanical and AeroSpace Engineering, Old Dominion University, Norfolk, VA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and AeroSpace Engineering, Old Dominion University, Norfolk, VA, USA","institution_ids":["https://openalex.org/I81365321"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I81365321"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16950909,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"821","last_page":"826"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9976999759674072,"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/T11236","display_name":"Control Systems and Identification","score":0.9976999759674072,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/nonlinear-system","display_name":"Nonlinear system","score":0.7885483503341675},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.7287486791610718},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5979672074317932},{"id":"https://openalex.org/keywords/frequency-response","display_name":"Frequency response","score":0.5236905813217163},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48101362586021423},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4786837697029114},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4521335959434509},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4218299686908722},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4091202914714813},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38723674416542053},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22078990936279297},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1497325897216797},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14447814226150513},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08064714074134827}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7885483503341675},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.7287486791610718},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5979672074317932},{"id":"https://openalex.org/C8590192","wikidata":"https://www.wikidata.org/wiki/Q1054694","display_name":"Frequency response","level":2,"score":0.5236905813217163},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48101362586021423},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4786837697029114},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4521335959434509},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4218299686908722},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4091202914714813},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38723674416542053},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22078990936279297},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1497325897216797},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14447814226150513},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08064714074134827},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2011.5990637","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5990637","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1597839575","https://openalex.org/W1615672776","https://openalex.org/W1999725046","https://openalex.org/W2010243081","https://openalex.org/W2035704883","https://openalex.org/W2038649599","https://openalex.org/W2058354695","https://openalex.org/W2068980644","https://openalex.org/W2069353750","https://openalex.org/W2069649589","https://openalex.org/W2102511636","https://openalex.org/W2106738775","https://openalex.org/W2157770296","https://openalex.org/W2316504935","https://openalex.org/W2324191923"],"related_works":["https://openalex.org/W2004341922","https://openalex.org/W3023180599","https://openalex.org/W2162152492","https://openalex.org/W2163861939","https://openalex.org/W18072180","https://openalex.org/W2138996551","https://openalex.org/W4385977082","https://openalex.org/W3119335026","https://openalex.org/W1490330316","https://openalex.org/W1985747358"],"abstract_inverted_index":{"This":[0],"paper":[1],"develops":[2],"generalized":[3],"analytical":[4,35],"first":[5],"and":[6,46],"second":[7,14],"order":[8,15],"transfer":[9],"functions":[10],"for":[11],"the":[12,25,30,41,50],"nonlinear":[13,47],"system.":[16],"A":[17],"periodic":[18],"input":[19],"is":[20],"also":[21],"conducted":[22],"to":[23],"characterize":[24],"overall":[26,51],"system":[27,52],"response":[28],"from":[29],"fundamental":[31],"components.":[32],"The":[33],"proposed":[34],"solution":[36],"provides":[37],"more":[38],"understanding":[39],"of":[40,43],"influence":[42],"each":[44],"linear":[45],"component":[48],"on":[49],"behavior.":[53]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}