{"id":"https://openalex.org/W2135248200","doi":"https://doi.org/10.1109/cdc.2005.1583105","title":"A Recursive Algorithm for Reducing the Order of Controller while Guaranteeing Performance","display_name":"A Recursive Algorithm for Reducing the Order of Controller while Guaranteeing Performance","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2135248200","doi":"https://doi.org/10.1109/cdc.2005.1583105","mag":"2135248200"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1583105","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583105","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th 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/A5052986525","display_name":"Waqar Malik","orcid":"https://orcid.org/0000-0001-7996-4635"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"W.A. Malik","raw_affiliation_strings":["Department of Mechanical Engineering, Texas A and M University, College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102875083","display_name":"Swaroop Darbha","orcid":"https://orcid.org/0000-0001-8377-0657"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Darbha","raw_affiliation_strings":["Department of Mechanical Engineering, Texas A and M University, College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041121124","display_name":"S.P. Bhattacharyya","orcid":"https://orcid.org/0000-0001-9207-3298"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S.P. Bhattacharyya","raw_affiliation_strings":["Professor at the Department of Electrical Engineering, Texas A and M University, College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Professor at the Department of Electrical Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052986525"],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":0.7522,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.75384723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":null,"first_page":"5899","last_page":"5904"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10305","display_name":"Power System Optimization and Stability","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9983999729156494,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9975000023841858,"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/control-theory","display_name":"Control theory (sociology)","score":0.8253167867660522},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.7894232273101807},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6947395205497742},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5839577317237854},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5368673205375671},{"id":"https://openalex.org/keywords/closed-loop","display_name":"Closed loop","score":0.4950806200504303},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.4820614755153656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46727311611175537},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4397374987602234},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3749296963214874},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3244099020957947},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2610929608345032},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.1823209524154663},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11440625786781311},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07609853148460388}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8253167867660522},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.7894232273101807},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6947395205497742},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5839577317237854},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5368673205375671},{"id":"https://openalex.org/C3019251811","wikidata":"https://www.wikidata.org/wiki/Q5135346","display_name":"Closed loop","level":2,"score":0.4950806200504303},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.4820614755153656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46727311611175537},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4397374987602234},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3749296963214874},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3244099020957947},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2610929608345032},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.1823209524154663},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11440625786781311},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07609853148460388},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2005.1583105","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583105","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1574669531","https://openalex.org/W1588998206","https://openalex.org/W1988007323","https://openalex.org/W2000024603","https://openalex.org/W2017016234","https://openalex.org/W2042106612","https://openalex.org/W2044921874","https://openalex.org/W2055027870","https://openalex.org/W2064733273","https://openalex.org/W2067070250","https://openalex.org/W2076742685","https://openalex.org/W2077088183","https://openalex.org/W2082114522","https://openalex.org/W2105193327","https://openalex.org/W2107254983","https://openalex.org/W2111706413","https://openalex.org/W2124360177","https://openalex.org/W2154286755","https://openalex.org/W2161367843","https://openalex.org/W2168355382","https://openalex.org/W2173261491","https://openalex.org/W2343177282","https://openalex.org/W3216747129","https://openalex.org/W6650091269"],"related_works":["https://openalex.org/W24774503","https://openalex.org/W2014821076","https://openalex.org/W2322335058","https://openalex.org/W2259382430","https://openalex.org/W2397460850","https://openalex.org/W2315566320","https://openalex.org/W4322484979","https://openalex.org/W2612895087","https://openalex.org/W1533811576","https://openalex.org/W2329095015"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,36,45,50,86,101,105],"procedure":[4,87],"for":[5,18,39,88],"the":[6,10,13,30,55,61,64,71,89,93,96],"recursive":[7,90],"reduction":[8,91],"of":[9,12,63,92,95],"order":[11,40,62,77,94],"stabilizing":[14,97],"controller":[15,73,98],"is":[16,74],"introduced":[17],"SISO":[19],"systems.":[20],"Since":[21],"all":[22],"achievable":[23],"closed":[24,56,65],"loop":[25,57,66],"maps":[26],"are":[27],"affine":[28],"in":[29,54,76],"Q":[31,46],"(Youla)":[32],"parameter,":[33],"we":[34,84],"devise":[35],"sufficient":[37],"condition":[38],"reduction:":[41],"Suppose":[42],"there":[43],"exists":[44],"parameter":[47],"to":[48,59],"induce":[49],"pole":[51],"zero":[52],"cancellation":[53],"map":[58],"decrease":[60],"system":[67],"by":[68,78],"m,":[69],"then":[70],"corresponding":[72],"reduced":[75],"m.":[79],"By":[80],"appropriately":[81],"choosing":[82],"Q,":[83],"formulate":[85],"and":[99],"guarantee":[100],"performance":[102],"describable":[103],"through":[104],"complex":[106],"stabilization":[107],"technique.":[108]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}