{"id":"https://openalex.org/W7114796073","doi":"https://doi.org/10.1142/s0218194025501037","title":"Model Order Reduction and Control Design for a Time Delay System","display_name":"Model Order Reduction and Control Design for a Time Delay System","publication_year":2025,"publication_date":"2025-12-11","ids":{"openalex":"https://openalex.org/W7114796073","doi":"https://doi.org/10.1142/s0218194025501037"},"language":"en","primary_location":{"id":"doi:10.1142/s0218194025501037","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218194025501037","pdf_url":null,"source":{"id":"https://openalex.org/S131442419","display_name":"International Journal of Software Engineering and Knowledge Engineering","issn_l":"0218-1940","issn":["0218-1940","1793-6403"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Software Engineering and Knowledge Engineering","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":null,"display_name":"Shivam Gupta","orcid":"https://orcid.org/0000-0002-7143-4936"},"institutions":[{"id":"https://openalex.org/I189109744","display_name":"Indian Institute of Technology Dhanbad","ror":"https://ror.org/013v3cc28","country_code":"IN","type":"education","lineage":["https://openalex.org/I189109744"]},{"id":"https://openalex.org/I4210093800","display_name":"Voluntary Health Association Of India","ror":"https://ror.org/00nezvm77","country_code":"IN","type":"nonprofit","lineage":["https://openalex.org/I4210093800"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shivam Gupta","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology (ISM), Dhanbad, Jharkhand 826004, India","I.T.S Engineering College, Greater Noida 201310, UP, India"],"raw_orcid":"https://orcid.org/0000-0002-7143-4936","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology (ISM), Dhanbad, Jharkhand 826004, India","institution_ids":["https://openalex.org/I189109744"]},{"raw_affiliation_string":"I.T.S Engineering College, Greater Noida 201310, UP, India","institution_ids":["https://openalex.org/I4210093800"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kalyan Chatterjee","orcid":"https://orcid.org/0000-0003-0069-2302"},"institutions":[{"id":"https://openalex.org/I189109744","display_name":"Indian Institute of Technology Dhanbad","ror":"https://ror.org/013v3cc28","country_code":"IN","type":"education","lineage":["https://openalex.org/I189109744"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Kalyan Chatterjee","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology (ISM), Dhanbad, Jharkhand 826004, India"],"raw_orcid":"https://orcid.org/0000-0003-0069-2302","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology (ISM), Dhanbad, Jharkhand 826004, India","institution_ids":["https://openalex.org/I189109744"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jay Singh","orcid":"https://orcid.org/0000-0002-2298-9214"},"institutions":[{"id":"https://openalex.org/I4210121746","display_name":"Ministry of Electronics and Information Technology","ror":"https://ror.org/02z31cn83","country_code":"IN","type":"government","lineage":["https://openalex.org/I4210121746"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jay Singh","raw_affiliation_strings":["Electrical & Electronics Engineering, G. L. Bajaj College of Technology and Management, Greater Noida, Uttar Pradesh, India"],"raw_orcid":"https://orcid.org/0000-0002-2298-9214","affiliations":[{"raw_affiliation_string":"Electrical & Electronics Engineering, G. L. Bajaj College of Technology and Management, Greater Noida, Uttar Pradesh, India","institution_ids":["https://openalex.org/I4210121746"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5291,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.69971396,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"36","issue":"08","first_page":"1121","last_page":"1140"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.2053000032901764,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.2053000032901764,"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/T11081","display_name":"Advanced Control Systems Design","score":0.179299995303154,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.10400000214576721,"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":0.6538000106811523},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6230000257492065},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5358999967575073},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.516700029373169},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.46299999952316284},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.45669999718666077},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.44530001282691956},{"id":"https://openalex.org/keywords/internal-model","display_name":"Internal model","score":0.44449999928474426}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6538000106811523},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6230000257492065},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5358999967575073},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.516700029373169},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49000000953674316},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.46299999952316284},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.45669999718666077},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.44530001282691956},{"id":"https://openalex.org/C28427503","wikidata":"https://www.wikidata.org/wiki/Q13580300","display_name":"Internal model","level":3,"score":0.44449999928474426},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.42260000109672546},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.40560001134872437},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.37770000100135803},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.36390000581741333},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3472000062465668},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3424000144004822},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.32989999651908875},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.3222000002861023},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3025999963283539},{"id":"https://openalex.org/C67334161","wikidata":"https://www.wikidata.org/wiki/Q457904","display_name":"Continuous stirred-tank reactor","level":2,"score":0.30160000920295715},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.2822999954223633},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.2782000005245209},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2773999869823456},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.26589998602867126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2533999979496002}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218194025501037","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218194025501037","pdf_url":null,"source":{"id":"https://openalex.org/S131442419","display_name":"International Journal of Software Engineering and Knowledge Engineering","issn_l":"0218-1940","issn":["0218-1940","1793-6403"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Software Engineering and Knowledge Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4962293207645416,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W3124503237","https://openalex.org/W3130022319","https://openalex.org/W4210468090","https://openalex.org/W4213430379","https://openalex.org/W4282945757","https://openalex.org/W4285155225","https://openalex.org/W4289945054","https://openalex.org/W4296367229","https://openalex.org/W4360819553","https://openalex.org/W4365457875","https://openalex.org/W4367294980","https://openalex.org/W4386006916","https://openalex.org/W4387350627","https://openalex.org/W4390025446","https://openalex.org/W4390238595","https://openalex.org/W4395452678","https://openalex.org/W4400312746","https://openalex.org/W4400688262","https://openalex.org/W4401432266","https://openalex.org/W4407037029","https://openalex.org/W4410116094"],"related_works":[],"abstract_inverted_index":{"Time-delay":[0],"systems":[1,93],"in":[2],"power":[3],"and":[4,43,64,87,117,142],"industrial":[5],"control":[6,85,154],"applications":[7],"pose":[8],"significant":[9],"challenges":[10],"due":[11],"to":[12,46,55,75],"their":[13],"infinite-dimensional":[14],"nature.":[15],"This":[16],"paper":[17],"proposes":[18],"a":[19,48],"Hybrid":[20],"Model":[21,26,69],"Control":[22,70],"Design":[23],"(HMCD)":[24],"integrating":[25],"Order":[27],"Reduction":[28],"(MOR)":[29],"with":[30],"Enhanced":[31],"Differential":[32],"Evolution":[33],"(EDE).":[34],"The":[35,149],"method":[36],"employs":[37],"Pad\u00e9":[38],"approximation,":[39],"Mihailov":[40],"stability":[41,63],"criterion":[42],"moment":[44],"matching":[45],"construct":[47],"reduced-order":[49],"model":[50],"(ROM),":[51],"optimized":[52],"via":[53],"EDE":[54],"minimize":[56],"Integral":[57,95,108,118],"Square":[58],"Error":[59,97,111,121],"(ISE)":[60],"while":[61],"ensuring":[62],"energy":[65],"preservation.":[66],"An":[67],"Internal":[68],"(IMC)":[71],"structure":[72],"is":[73],"converted":[74],"Proportional\u2013Integral\u2013Derivative":[76],"(PID)":[77],"form":[78],"for":[79],"practical":[80],"implementation.":[81],"Validation":[82],"on":[83],"load-frequency":[84],"(LFC)":[86],"continuous":[88],"stirred":[89],"tank":[90],"reactor":[91],"(CSTR)":[92],"achieves":[94],"Absolute":[96,110],"(IAE)":[98],"[Formula:":[99,104,113,123,133,138,146],"see":[100,105,114,124,134,139,147],"text]":[101,106,115,125,135,140],"2.30,":[102],"ISE":[103,137],"0.998,":[107],"Time":[109,119],"(ITAE)":[112],"9.03":[116],"Squared":[120],"(ITSE)":[122],"1.23":[126],"\u2014":[127],"drastically":[128],"outperforming":[129],"conventional":[130],"IMC":[131],"(IAE":[132],"72.54,":[136],"13.99)":[141],"metaheuristic":[143],"methods":[144],"(errors":[145],"text]).":[148],"framework":[150],"enables":[151],"efficient":[152],"real-time":[153],"of":[155],"high-order":[156],"time-delay":[157],"systems.":[158]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-12-11T00:00:00"}