{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T09:24:35Z","timestamp":1758273875473,"version":"3.37.3"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2018,3,22]],"date-time":"2018-03-22T00:00:00Z","timestamp":1521676800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2019,10]]},"DOI":"10.1007\/s00521-018-3440-2","type":"journal-article","created":{"date-parts":[[2018,3,22]],"date-time":"2018-03-22T07:56:39Z","timestamp":1521705399000},"page":"6207-6221","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["A novel hybrid metaheuristic algorithm for model order reduction in the delta domain: a unified approach"],"prefix":"10.1007","volume":"31","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4192-398X","authenticated-orcid":false,"given":"Souvik","family":"Ganguli","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gagandeep","family":"Kaur","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Prasanta","family":"Sarkar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,3,22]]},"reference":[{"issue":"1","key":"3440_CR1","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1016\/j.paerosci.2003.12.001","volume":"40","author":"DJ Lucia","year":"2004","unstructured":"Lucia DJ, Beran PS, Silva WA (2004) Reduced-order modeling: new approaches for computational physics. Prog Aerosp Sci 40(1):51\u2013117","journal-title":"Prog Aerosp Sci"},{"issue":"1","key":"3440_CR2","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/s11071-005-2809-9","volume":"41","author":"AH Nayfeh","year":"2005","unstructured":"Nayfeh AH, Younis MI, Abdel-Rahman EM (2005) Reduced-order models for MEMS applications. Nonlinear Dyn 41(1):211\u2013236","journal-title":"Nonlinear Dyn"},{"issue":"3","key":"3440_CR3","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1016\/j.compchemeng.2008.10.007","volume":"33","author":"B Dorneanu","year":"2009","unstructured":"Dorneanu B, Bildea CS, Grievink J (2009) On the application of model reduction to plantwide control. Comput Chem Eng 33(3):699\u2013711","journal-title":"Comput Chem Eng"},{"key":"3440_CR4","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-78841-6","volume-title":"Model order reduction: theory, research aspects and applications","author":"WH Schilders","year":"2008","unstructured":"Schilders WH, Van der Vorst HA, Rommes J (2008) Model order reduction: theory, research aspects and applications. Springer, Berlin. ISBN 978-3-540-78841-6","ISBN":"https:\/\/id.crossref.org\/isbn\/9783540788416"},{"key":"3440_CR5","isbn-type":"print","volume-title":"Model order reduction techniques with applications in electrical engineering","author":"L Fortuna","year":"2012","unstructured":"Fortuna L, Nunnari G, Gallo A (2012) Model order reduction techniques with applications in electrical engineering. Springer, Berlin. ISBN 978-1-4471-3198-4","ISBN":"https:\/\/id.crossref.org\/isbn\/9781447131984"},{"issue":"6","key":"3440_CR6","doi-asserted-by":"publisher","first-page":"565","DOI":"10.1016\/j.apm.2004.09.016","volume":"29","author":"S Mukherjee","year":"2005","unstructured":"Mukherjee S, Mittal RC (2005) Order reduction of linear discrete systems using a genetic algorithm. Appl Math Model 29(6):565\u2013578","journal-title":"Appl Math Model"},{"issue":"16","key":"3440_CR7","doi-asserted-by":"publisher","first-page":"8016","DOI":"10.1016\/j.apm.2013.02.052","volume":"37","author":"SR Desai","year":"2013","unstructured":"Desai SR, Prasad R (2013) A novel order diminution of LTI systems using Big Bang Big Crunch optimization and Routh Approximation. Appl Math Model 37(16):8016\u20138028","journal-title":"Appl Math Model"},{"issue":"6","key":"3440_CR8","doi-asserted-by":"publisher","first-page":"4570","DOI":"10.1016\/j.apm.2012.09.006","volume":"37","author":"DI Abu-Al-Nadi","year":"2013","unstructured":"Abu-Al-Nadi DI, Alsmadi OM, Abo-Hammour ZS, Hawa MF, Rahhal JS (2013) Invasive weed optimization for model order reduction of linear MIMO systems. Appl Math Model 37(6):4570\u20134577","journal-title":"Appl Math Model"},{"issue":"2","key":"3440_CR9","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1080\/03772063.2015.1009396","volume":"61","author":"AA Sikander","year":"2015","unstructured":"Sikander AA, Prasad BR (2015) A novel order reduction method using cuckoo search algorithm. IETE J Res 61(2):83\u201390","journal-title":"IETE J Res"},{"issue":"11","key":"3440_CR10","doi-asserted-by":"publisher","first-page":"3471","DOI":"10.1007\/s00034-015-0018-4","volume":"34","author":"A Sikander","year":"2015","unstructured":"Sikander A, Prasad R (2015) Soft computing approach for model order reduction of linear time invariant systems. Circuits Syst Signal Process 34(11):3471\u20133487","journal-title":"Circuits Syst Signal Process"},{"issue":"15","key":"3440_CR11","doi-asserted-by":"publisher","first-page":"7225","DOI":"10.1016\/j.apm.2016.03.006","volume":"40","author":"S Biradar","year":"2016","unstructured":"Biradar S, Hote YV, Saxena S (2016) Reduced-order modeling of linear time invariant systems using big bang big crunch optimization and time moment matching method. Appl Math Model 40(15):7225\u20137244","journal-title":"Appl Math Model"},{"issue":"9","key":"3440_CR12","doi-asserted-by":"publisher","first-page":"1453","DOI":"10.1007\/s12046-017-0710-0","volume":"42","author":"A Sikander","year":"2017","unstructured":"Sikander A, Prasad R (2017) New technique for system simplification using Cuckoo search and ESA. S\u0101dhan\u0101 42(9):1453\u20131458","journal-title":"S\u0101dhan\u0101"},{"key":"3440_CR13","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-017-2589-4","author":"A Sikander","year":"2017","unstructured":"Sikander A, Thakur P (2017) Reduced order modelling of linear time-invariant system using modified cuckoo search algorithm. Soft Comput. https:\/\/doi.org\/10.1007\/s00500-017-2589-4","journal-title":"Soft Comput"},{"key":"3440_CR14","doi-asserted-by":"publisher","unstructured":"Mishra R, Das KN (2016) Chemo-inspired genetic algorithm and application to model order reduction problem. In: Proceedings of fifth international conference on soft computing for problem solving. Springer, Singapore, pp 31\u201341. https:\/\/doi.org\/10.1007\/978-981-10-0448-3_3","DOI":"10.1007\/978-981-10-0448-3_3"},{"issue":"1","key":"3440_CR15","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1007\/s40313-016-0284-9","volume":"28","author":"V Ganji","year":"2017","unstructured":"Ganji V, Mangipudi S, Manyala R (2017) A novel model order reduction technique for linear continuous-time systems using PSO-DV algorithm. J Control Autom Electr Syst 28(1):68\u201377","journal-title":"J Control Autom Electr Syst"},{"issue":"2","key":"3440_CR16","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1080\/02564602.2016.1165152","volume":"34","author":"A Narwal","year":"2017","unstructured":"Narwal A, Prasad R (2017) Optimization of LTI systems using modified clustering algorithm. IETE Tech Rev 34(2):201\u2013213","journal-title":"IETE Tech Rev"},{"issue":"3","key":"3440_CR17","doi-asserted-by":"publisher","first-page":"316","DOI":"10.1080\/03772063.2016.1272436","volume":"63","author":"A Sikander","year":"2017","unstructured":"Sikander A, Prasad R (2017) A new technique for reduced-order modelling of linear time-invariant system. IETE J Res 63(3):316\u2013324","journal-title":"IETE J Res"},{"issue":"Suppl 2","key":"3440_CR18","doi-asserted-by":"publisher","first-page":"2283","DOI":"10.3906\/elk-1112-31","volume":"21","author":"HN Soloklo","year":"2013","unstructured":"Soloklo HN, Farsangi MM (2013) Multi-objective weighted sum approach model reduction by Routh-Pade approximation using harmony search. Turk J Electr Eng Comput Sci 21(Suppl 2):2283\u20132293. https:\/\/doi.org\/10.3906\/elk-1112-31","journal-title":"Turk J Electr Eng Comput Sci"},{"issue":"E2","key":"3440_CR19","doi-asserted-by":"publisher","first-page":"217","DOI":"10.22099\/ijste.2015.3493","volume":"39","author":"G Khademi","year":"2015","unstructured":"Khademi G, Mohammadi H, Dehghani M (2015) Order reduction of linear systems with keeping the minimum phase characteristic of the system: LMI based approach. IJST Trans Electr Eng 39(E2):217\u2013227. https:\/\/doi.org\/10.22099\/ijste.2015.3493","journal-title":"IJST Trans Electr Eng"},{"key":"3440_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/s12293-012-0089-8","author":"JC Bansal","year":"2012","unstructured":"Bansal JC, Sharma H (2012) Cognitive learning in differential evolution and its application to model order reduction problem for single-input single-output systems. Memet Comput. https:\/\/doi.org\/10.1007\/s12293-012-0089-8","journal-title":"Memet Comput"},{"issue":"4","key":"3440_CR21","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1007\/s12293-012-0096-9","volume":"4","author":"H Sharma","year":"2012","unstructured":"Sharma H, Bansal JC, Arya KV (2012) Fitness based differential evolution. Memet Comput 4(4):303\u2013316","journal-title":"Memet Comput"},{"issue":"1","key":"3440_CR22","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1111\/j.1541-0420.2005.00389.x","volume":"62","author":"B Rosner","year":"2006","unstructured":"Rosner B, Glynn RJ, Lee ML (2006) The Wilcoxon signed rank test for paired comparisons of clustered data. Biometrics 62(1):185\u2013192","journal-title":"Biometrics"},{"key":"3440_CR23","volume-title":"Digital control and estimation: a unified approach (Prentice Hall information and system sciences series)","author":"RH Middleton","year":"1990","unstructured":"Middleton RH, Goodwin GC (1990) Digital control and estimation: a unified approach (Prentice Hall information and system sciences series). Prentice Hall, Englewood Cliffs"},{"key":"3440_CR24","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1016\/j.advengsoft.2013.12.007","volume":"69","author":"S Mirjalili","year":"2014","unstructured":"Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46\u201361","journal-title":"Adv Eng Softw"},{"issue":"1","key":"3440_CR25","doi-asserted-by":"publisher","first-page":"150","DOI":"10.1007\/s10489-014-0645-7","volume":"43","author":"S Mirjalili","year":"2015","unstructured":"Mirjalili S (2015) How effective is the Grey Wolf optimizer in training multi-layer perceptrons. Appl Intell 43(1):150\u2013161","journal-title":"Appl Intell"},{"issue":"5","key":"3440_CR26","doi-asserted-by":"publisher","first-page":"1301","DOI":"10.1007\/s00521-015-1934-8","volume":"27","author":"VK Kamboj","year":"2016","unstructured":"Kamboj VK, Bath SK, Dhillon JS (2016) Solution of non-convex economic load dispatch problem using grey wolf optimizer. Neural Comput Appl 27(5):1301\u20131316","journal-title":"Neural Comput Appl"},{"key":"3440_CR27","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1016\/j.eswa.2017.04.029","volume":"86","author":"AK Khairuzzaman","year":"2017","unstructured":"Khairuzzaman AK, Chaudhury S (2017) Multilevel thresholding using grey wolf optimizer for image segmentation. Expert Syst Appl 86:64\u201376","journal-title":"Expert Syst Appl"},{"issue":"5","key":"3440_CR28","doi-asserted-by":"publisher","first-page":"1257","DOI":"10.1007\/s00521-014-1806-7","volume":"26","author":"S Saremi","year":"2015","unstructured":"Saremi S, Mirjalili SZ, Mirjalili SM (2015) Evolutionary population dynamics and grey wolf optimizer. Neural Comput Appl 26(5):1257\u20131263","journal-title":"Neural Comput Appl"},{"key":"3440_CR29","doi-asserted-by":"publisher","first-page":"371","DOI":"10.1016\/j.neucom.2015.06.083","volume":"172","author":"E Emary","year":"2016","unstructured":"Emary E, Zawbaa HM, Hassanien AE (2016) Binary grey wolf optimization approaches for feature selection. Neurocomputing 172:371\u2013381","journal-title":"Neurocomputing"},{"key":"3440_CR30","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/j.asoc.2017.06.044","volume":"60","author":"AA Heidari","year":"2017","unstructured":"Heidari AA, Pahlavani P (2017) An efficient modified grey wolf optimizer with L\u00e9vy flight for optimization tasks. Appl Soft Comput 60:115\u2013134","journal-title":"Appl Soft Comput"},{"key":"3440_CR31","doi-asserted-by":"publisher","first-page":"630","DOI":"10.1016\/j.energy.2016.05.105","volume":"111","author":"T Jayabarathi","year":"2016","unstructured":"Jayabarathi T, Raghunathan T, Adarsh BR, Suganthan PN (2016) Economic dispatch using hybrid grey wolf optimizer. Energy 111:630\u2013641","journal-title":"Energy"},{"issue":"6","key":"3440_CR32","doi-asserted-by":"publisher","first-page":"1643","DOI":"10.1007\/s00521-015-1962-4","volume":"27","author":"VK Kamboj","year":"2016","unstructured":"Kamboj VK (2016) A novel hybrid PSO\u2013GWO approach for unit commitment problem. Neural Comput Appl 27(6):1643\u20131655","journal-title":"Neural Comput Appl"},{"key":"3440_CR33","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/j.engappai.2016.10.013","volume":"57","author":"C Lu","year":"2017","unstructured":"Lu C, Gao L, Li X, Xiao S (2017) A hybrid multi-objective grey wolf optimizer for dynamic scheduling in a real-world welding industry. Eng Appl Artif Intell 57:61\u201379","journal-title":"Eng Appl Artif Intell"},{"key":"3440_CR34","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1016\/j.amc.2013.07.092","volume":"224","author":"RM Rizk-Allah","year":"2013","unstructured":"Rizk-Allah RM, Zaki EM, El-Sawy AA (2013) Hybridizing ant colony optimization with firefly algorithm for unconstrained optimization problems. Appl Math Comput 224:473\u2013483","journal-title":"Appl Math Comput"},{"issue":"2","key":"3440_CR35","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1504\/IJBIC.2010.032124","volume":"2","author":"XS Yang","year":"2010","unstructured":"Yang XS (2010) Firefly algorithm, stochastic test functions and design optimisation. Int J Bio Inspired Comput 2(2):78\u201384","journal-title":"Int J Bio Inspired Comput"},{"issue":"3","key":"3440_CR36","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1007\/s40009-013-0129-z","volume":"36","author":"M Khajehzadeh","year":"2013","unstructured":"Khajehzadeh M, Taha MR, Eslami M (2013) A new hybrid firefly algorithm for foundation optimization. Natl Acad Sci Lett 36(3):279\u2013288","journal-title":"Natl Acad Sci Lett"},{"issue":"5","key":"3440_CR37","doi-asserted-by":"publisher","first-page":"541","DOI":"10.1023\/A:1016540724870","volume":"8","author":"EG Talbi","year":"2002","unstructured":"Talbi EG (2002) A taxonomy of hybrid metaheuristics. J Heuristics 8(5):541\u2013564","journal-title":"J Heuristics"},{"issue":"1","key":"3440_CR38","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/BF01183243","volume":"10","author":"JJ Anagnost","year":"1991","unstructured":"Anagnost JJ, Desoer CA (1991) An elementary proof of the Routh\u2013Hurwitz stability criterion. Circuits Syst Signal Process 10(1):101\u2013114","journal-title":"Circuits Syst Signal Process"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-018-3440-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-018-3440-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-018-3440-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,29]],"date-time":"2020-10-29T23:02:55Z","timestamp":1604012575000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-018-3440-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,22]]},"references-count":38,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2019,10]]}},"alternative-id":["3440"],"URL":"https:\/\/doi.org\/10.1007\/s00521-018-3440-2","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"type":"print","value":"0941-0643"},{"type":"electronic","value":"1433-3058"}],"subject":[],"published":{"date-parts":[[2018,3,22]]},"assertion":[{"value":"12 May 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 March 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 March 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}