{"id":"https://openalex.org/W2019756755","doi":"https://doi.org/10.1016/s0005-1098(98)00164-2","title":"Robust L2-gain control for nonlinear systems with projection dynamics and input constraints: an example from traffic control","display_name":"Robust L2-gain control for nonlinear systems with projection dynamics and input constraints: an example from traffic control","publication_year":1999,"publication_date":"1999-03-01","ids":{"openalex":"https://openalex.org/W2019756755","doi":"https://doi.org/10.1016/s0005-1098(98)00164-2","mag":"2019756755"},"language":"en","primary_location":{"id":"doi:10.1016/s0005-1098(98)00164-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0005-1098(98)00164-2","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","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/A5081427672","display_name":"Joseph A. Ball","orcid":"https://orcid.org/0000-0001-9990-5130"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joseph A. Ball","raw_affiliation_strings":["Department of Mathematics, Virginia Tech, VA 24061-0123, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Virginia Tech, VA 24061-0123, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046463517","display_name":"Martin V. Day","orcid":"https://orcid.org/0000-0001-5274-1626"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin V. Day","raw_affiliation_strings":["Department of Mathematics, Virginia Tech, VA 24061-0123, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Virginia Tech, VA 24061-0123, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015179448","display_name":"Tungsheng Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tungsheng Yu","raw_affiliation_strings":["AT&T 2355 Dulles Corner Blvd., 7th Floor, Herndon, VA 20171, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"AT&T 2355 Dulles Corner Blvd., 7th Floor, Herndon, VA 20171, USA","institution_ids":["https://openalex.org/I1283103587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071383424","display_name":"Pushkin Kachroo","orcid":"https://orcid.org/0000-0002-7701-8925"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pushkin Kachroo","raw_affiliation_strings":["Bradley Department of Electrical Engineering, Virginia Tech, VA 24061-0111, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bradley Department of Electrical Engineering, Virginia Tech, VA 24061-0111, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081427672"],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":2.8833,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.90314843,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"35","issue":"3","first_page":"429","last_page":"444"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9932000041007996,"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"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.989300012588501,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6590490937232971},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6168830990791321},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.5663729310035706},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.5404167771339417},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5396343469619751},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.4642641544342041},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4621388018131256},{"id":"https://openalex.org/keywords/state-vector","display_name":"State vector","score":0.44245606660842896},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4365631639957428},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.42182159423828125},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.27775663137435913},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2744613289833069},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22496652603149414},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21458855271339417}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6590490937232971},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6168830990791321},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.5663729310035706},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.5404167771339417},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5396343469619751},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.4642641544342041},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4621388018131256},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.44245606660842896},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4365631639957428},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.42182159423828125},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.27775663137435913},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2744613289833069},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22496652603149414},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21458855271339417},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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":4,"locations":[{"id":"doi:10.1016/s0005-1098(98)00164-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0005-1098(98)00164-2","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"},{"id":"pmh:oai:digitalscholarship.unlv.edu:ece_fac_articles-1040","is_oa":false,"landing_page_url":"https://digitalscholarship.unlv.edu/ece_fac_articles/41","pdf_url":null,"source":{"id":"https://openalex.org/S4377196371","display_name":"Digital Scholarship - UNLV (University of Nevada Reno)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134113660","host_organization_name":"University of Nevada, Reno","host_organization_lineage":["https://openalex.org/I134113660"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical and Computer Engineering Faculty Publications","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.33.3831","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.33.3831","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.vt.edu/people/day/research/Automatica_o.pdf","raw_type":"text"},{"id":"pmh:oai:oasis.library.unlv.edu:ece_fac_articles-1040","is_oa":false,"landing_page_url":"https://oasis.library.unlv.edu/ece_fac_articles/41","pdf_url":null,"source":{"id":"https://openalex.org/S4377196371","display_name":"Digital Scholarship - UNLV (University of Nevada Reno)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134113660","host_organization_name":"University of Nevada, Reno","host_organization_lineage":["https://openalex.org/I134113660"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical & Computer Engineering Faculty Research","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W74294323","https://openalex.org/W134038551","https://openalex.org/W138497752","https://openalex.org/W560814651","https://openalex.org/W589757979","https://openalex.org/W1496467067","https://openalex.org/W1505506151","https://openalex.org/W1579118835","https://openalex.org/W1592648094","https://openalex.org/W1967005518","https://openalex.org/W1978160301","https://openalex.org/W1998996391","https://openalex.org/W2013696077","https://openalex.org/W2021965440","https://openalex.org/W2040159093","https://openalex.org/W2045689494","https://openalex.org/W2087075486","https://openalex.org/W2102739878","https://openalex.org/W2107487294","https://openalex.org/W2109640889","https://openalex.org/W2109987654","https://openalex.org/W2127082526","https://openalex.org/W2144355672","https://openalex.org/W2148993855","https://openalex.org/W2788256603","https://openalex.org/W2792214557","https://openalex.org/W3216747129","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1972096828","https://openalex.org/W2529137940","https://openalex.org/W4302048708","https://openalex.org/W2359913921","https://openalex.org/W1595194509","https://openalex.org/W4239740410","https://openalex.org/W1996195943","https://openalex.org/W2117494769","https://openalex.org/W2481608130","https://openalex.org/W2050710621"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-04T08:30:34.212998","created_date":"2025-10-10T00:00:00"}
