{"id":"https://openalex.org/W2113493930","doi":"https://doi.org/10.1109/cdc.2007.4434391","title":"Robust feasibility for control of water flow in a reservoir-canal system","display_name":"Robust feasibility for control of water flow in a reservoir-canal system","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2113493930","doi":"https://doi.org/10.1109/cdc.2007.4434391","mag":"2113493930"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434391","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434391","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5112133200","display_name":"Saurabh Amin","orcid":"https://orcid.org/0000-0003-1554-015X"},"institutions":[{"id":"https://openalex.org/I134446601","display_name":"Berkeley College","ror":"https://ror.org/02xewxa75","country_code":"US","type":"education","lineage":["https://openalex.org/I134446601"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Saurabh Amin","raw_affiliation_strings":["Department of Civil and Environmental Engineering, UC Berkeley, CA, USA","UC Berkeley, Berkeley"],"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, UC Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"UC Berkeley, Berkeley","institution_ids":["https://openalex.org/I134446601","https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021116704","display_name":"Alexandre M. Bayen","orcid":"https://orcid.org/0000-0002-6697-222X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]},{"id":"https://openalex.org/I134446601","display_name":"Berkeley College","ror":"https://ror.org/02xewxa75","country_code":"US","type":"education","lineage":["https://openalex.org/I134446601"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexandre M. Bayen","raw_affiliation_strings":["Department of Civil and Environmental Engineering, UC Berkeley, CA, USA","UC Berkeley, Berkeley"],"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, UC Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"UC Berkeley, Berkeley","institution_ids":["https://openalex.org/I134446601","https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069598493","display_name":"Laurent El Ghaoui","orcid":"https://orcid.org/0000-0002-0499-5610"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Laurent El Ghaoui","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, UC Berkeley, CA, USA","University of California, Berkeley"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, UC Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103101043","display_name":"S. Shankar Sastry","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shankar Sastry","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, UC Berkeley, CA, USA","University of California, Berkeley"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, UC Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5112133200"],"corresponding_institution_ids":["https://openalex.org/I134446601","https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":3.2193,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.91316878,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1571","last_page":"1577"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12022","display_name":"Hydraulic flow and structures","score":0.9914000034332275,"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"}},"topics":[{"id":"https://openalex.org/T12022","display_name":"Hydraulic flow and structures","score":0.9914000034332275,"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"}},{"id":"https://openalex.org/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T10894","display_name":"Groundwater flow and contamination studies","score":0.9811999797821045,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"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":0.6396061182022095},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.637376070022583},{"id":"https://openalex.org/keywords/shallow-water-equations","display_name":"Shallow water equations","score":0.6019601225852966},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.47824373841285706},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4520461857318878},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4459885060787201},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43864405155181885},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.42297008633613586},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35836338996887207},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30709195137023926},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1541883647441864},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12357866764068604},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10530608892440796}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6396061182022095},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.637376070022583},{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.6019601225852966},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.47824373841285706},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4520461857318878},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4459885060787201},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43864405155181885},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.42297008633613586},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35836338996887207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30709195137023926},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1541883647441864},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12357866764068604},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10530608892440796},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434391","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434391","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8600000143051147,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1598003443","https://openalex.org/W1964550692","https://openalex.org/W2016875721","https://openalex.org/W2020571138","https://openalex.org/W2027501711","https://openalex.org/W2032316942","https://openalex.org/W2034647609","https://openalex.org/W2044982369","https://openalex.org/W2110349823","https://openalex.org/W2131240070"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2137218730","https://openalex.org/W3097780762","https://openalex.org/W2383508802"],"abstract_inverted_index":{"A":[0],"robust":[1,154],"control":[2,7,98,147,177,190],"problem":[3,19,148],"for":[4,162],"distant":[5],"downstream":[6,41,54,108,116],"of":[8,25,47,53,59,87,131,164],"a":[9,68,80,85,153,165,191],"reservoir-canal":[10],"system":[11],"modeled":[12,139],"by":[13,140],"Saint-Venant":[14,63],"equations":[15],"is":[16,20,65,76,99,106,114,143,187],"investigated.":[17],"The":[18,72,129,184],"to":[21,78,125,189],"regulate":[22],"the":[23,28,33,40,51,57,62,93,97,100,104,107,112,115,119,126,146,176],"release":[24],"water":[26,35],"at":[27,39],"upstream":[29,101],"end":[30,42],"such":[31],"that":[32,145],"measured":[34],"level":[36],"(or":[37],"stage)":[38],"does":[43],"not":[44],"deviate":[45],"outside":[46],"prescribed":[48],"bounds":[49],"under":[50],"effect":[52],"perturbations.":[55],"Under":[56],"assumption":[58],"small":[60],"perturbations,":[61],"model":[64,75,83],"linearized":[66],"around":[67],"steady":[69,127],"state":[70,94],"flow.":[71],"resulting":[73],"linear":[74,81,158,182],"discretized":[77],"obtain":[79],"state-space":[82],"using":[84,181],"method":[86,186],"characteristics":[88],"based":[89],"numerical":[90],"scheme.":[91],"For":[92],"space":[95],"model,":[96],"discharge":[102,109],"deviation,":[103],"disturbance":[105,134],"deviation":[110],"and":[111,135],"output":[113,136],"stage":[117],"deviation;":[118],"deviations":[120],"are":[121,138,169,179],"defined":[122],"with":[123],"respect":[124],"state.":[128],"sets":[130],"admissible":[132],"control,":[133],"trajectories":[137],"polytopes.":[141],"It":[142],"shown":[144],"can":[149],"be":[150],"formulated":[151],"as":[152],"feasibility":[155],"problem.":[156],"Using":[157],"programming":[159],"duality,":[160],"conditions":[161],"existence":[163],"robustly":[166],"feasible":[167],"solution":[168],"derived.":[170],"These":[171],"conditions,":[172],"being":[173],"affine":[174],"in":[175],"variables,":[178],"checked":[180],"programming.":[183],"proposed":[185],"applied":[188],"typical":[192],"reservoir-":[193],"canal":[194],"system.":[195]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}