{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T23:22:09Z","timestamp":1772320929468,"version":"3.50.1"},"reference-count":63,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2023,10,3]],"date-time":"2023-10-03T00:00:00Z","timestamp":1696291200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,10,3]],"date-time":"2023-10-03T00:00:00Z","timestamp":1696291200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1007\/s00034-023-02503-2","type":"journal-article","created":{"date-parts":[[2023,10,3]],"date-time":"2023-10-03T11:02:16Z","timestamp":1696330936000},"page":"766-794","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["A New Scheme for the Approximation of Linear Dynamical Systems and Its Application to Controller Design"],"prefix":"10.1007","volume":"43","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1178-3234","authenticated-orcid":false,"given":"Santosh Kumar","family":"Suman","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,10,3]]},"reference":[{"issue":"1","key":"2503_CR1","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1070\/SM1971v015n01ABEH001531","volume":"15","author":"VM Adamjan","year":"1971","unstructured":"V.M. Adamjan, D.Z. Arov, M.G. Krein, Analytic properties of schmidt pairs for a hankel operator and the generalized schur-takagi problem. Math USSR Sb. 15(1), 31 (1971)","journal-title":"Math USSR Sb."},{"issue":"11","key":"2503_CR2","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/S1474-6670(17)31584-7","volume":"37","author":"AC Antoulas","year":"2004","unstructured":"A.C. Antoulas, Approximation of large-scale dynamical systems: An overview. IFAC Proc. 37(11), 19\u201328 (2004). https:\/\/doi.org\/10.1016\/S1474-6670(17)31584-7","journal-title":"IFAC Proc."},{"key":"2503_CR3","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1137\/1.9780898718713","volume-title":"Approximation of large-scale dynamical systems","author":"AC Antoulas","year":"2005","unstructured":"A.C. Antoulas, Approximation of large-scale dynamical systems (Approximation of Large-Scale Dynamical Systems. Society for Industrial and Applied Mathematics, Philadelphia, PA, 2005), p.479"},{"issue":"5","key":"2503_CR4","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1016\/S0167-6911(02)00147-0","volume":"46","author":"AC Antoulas","year":"2002","unstructured":"A.C. Antoulas, D.C. Sorensen, Y. Zhou, On the decay rate of Hankel singular values and related issues. Syst. Control. Lett. 46(5), 323\u2013342 (2002). https:\/\/doi.org\/10.1016\/S0167-6911(02)00147-0","journal-title":"Syst. Control. Lett."},{"key":"2503_CR5","doi-asserted-by":"crossref","unstructured":"D. Boley, B. N. Datta, Numerical methods for linear control systems. In: Systems and Control in the Twenty-First Century. Birkh\u00e4user, Boston, MA, pp. 51\u201374 (1997)","DOI":"10.1007\/978-1-4612-4120-1_4"},{"key":"2503_CR6","doi-asserted-by":"crossref","unstructured":"A.M. Bruaset, A.M. Bruaset, Krylov subspace methods. In: A Survey of Preconditioned Iterative Methods. Routledge, Boca Raton (2019)","DOI":"10.1201\/9781315136516"},{"key":"2503_CR7","doi-asserted-by":"crossref","unstructured":"A. Castagnotto, M. Cruz Varona, L. Jeschek, B. Lohmann, MOR: analysis and reduction of large-scale dynamic systems in MATLAB. At-Automatisierungstechnik (2017)","DOI":"10.1515\/auto-2016-0137"},{"issue":"1","key":"2503_CR8","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1080\/00207178008922845","volume":"32","author":"TC Chen","year":"1980","unstructured":"T.C. Chen, C.Y. Chang, K.W. Han, Model reduction using the stability-equation method and the continued-fraction method. Int. J. Control. 32(1), 81\u201394 (1980)","journal-title":"Int. J. Control."},{"key":"2503_CR9","doi-asserted-by":"crossref","unstructured":"D. F. Enns, Model reduction with balanced realizations: an error bound and a frequency weighted generalization. In: Proceedings of the IEEE Conference on Decision and Control, pp. 127\u2013132 (1984)","DOI":"10.1109\/CDC.1984.272286"},{"issue":"4","key":"2503_CR10","doi-asserted-by":"crossref","first-page":"969","DOI":"10.1109\/TAC.1982.1103037","volume":"27","author":"KV Fernando","year":"1982","unstructured":"K.V. Fernando, H. Nicholson, Singular perturbational model reduction in the frequency domain. IEEE Trans. Automat. Contr. 27(4), 969\u2013970 (1982)","journal-title":"IEEE Trans. Automat. Contr."},{"issue":"2","key":"2503_CR11","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1109\/TAC.1983.1103202","volume":"28","author":"KV Fernando","year":"1983","unstructured":"K.V. Fernando, H. Nicholson, Singular perturbational approximations for discrete-time balanced systems. IEEE Trans. Automat. Contr. 28(2), 240\u2013242 (1983)","journal-title":"IEEE Trans. Automat. Contr."},{"issue":"4","key":"2503_CR12","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1080\/00207178108922553","volume":"34","author":"MJ Goldman","year":"1982","unstructured":"M.J. Goldman, W.J. Porras, C.T. Leondes, Multivariable systems reduction via cauer forms. Int. J. Control. 34(4), 623\u2013650 (1982)","journal-title":"Int. J. Control."},{"issue":"9","key":"2503_CR13","doi-asserted-by":"crossref","first-page":"1964","DOI":"10.1016\/j.laa.2007.10.041","volume":"428","author":"S Gugercin","year":"2008","unstructured":"S. Gugercin, An iterative SVD-Krylov based method for model reduction of large-scale dynamical systems. Linear Algebra Appl. 428(9), 1964\u20131986 (2008)","journal-title":"Linear Algebra Appl."},{"issue":"2","key":"2503_CR14","doi-asserted-by":"crossref","first-page":"313","DOI":"10.3934\/mcrf.2019016","volume":"9","author":"C Guiver","year":"2019","unstructured":"C. Guiver, The generalised singular perturbation approximation for bounded real and positive real control systems. Math. Control. Relat. Fields. 9(2), 313\u2013350 (2019)","journal-title":"Math. Control. Relat. Fields."},{"issue":"2","key":"2503_CR15","doi-asserted-by":"crossref","first-page":"454","DOI":"10.1109\/TAC.1982.1102930","volume":"27","author":"P Gutman","year":"1982","unstructured":"P. Gutman, C.F. Mannerfelt, P. Molander, Contributions to the Model Reduction Problem. IEEE Trans. Automat. Contr. 27(2), 454\u2013455 (1982)","journal-title":"IEEE Trans. Automat. Contr."},{"key":"2503_CR16","doi-asserted-by":"crossref","unstructured":"C. Huang, K. Zhang, X. Dai, W. Tang, A modified balanced truncation method and its application to model reduction of power system. In: IEEE Power and Energy Society General Meeting, pp. 1\u20135 (2013)","DOI":"10.1109\/PESMG.2013.6672263"},{"issue":"3","key":"2503_CR17","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1016\/0167-6911(86)90110-6","volume":"7","author":"YS Hung","year":"1986","unstructured":"Y.S. Hung, K. Glover, Optimal Hankel-norm approximation of stable systems with first-order stable weighting functions. Syst. Control. Lett. 7(3), 165\u2013172 (1986)","journal-title":"Syst. Control. Lett."},{"issue":"3","key":"2503_CR18","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1109\/TAC.1975.1100953","volume":"20","author":"MF Hutton","year":"1975","unstructured":"M.F. Hutton, B. Friedland, Routh approximations for reducing order of linear, time-invariant systems. IEEE Trans. Automat. Contr. 20(3), 329\u2013337 (1975)","journal-title":"IEEE Trans. Automat. Contr."},{"issue":"12","key":"2503_CR19","doi-asserted-by":"crossref","first-page":"3304","DOI":"10.1016\/j.automatica.2014.10.062","volume":"50","author":"M Imran","year":"2014","unstructured":"M. Imran, A. Ghafoor, V. Sreeram, A frequency weighted model order reduction technique and error bounds. Automatica 50(12), 3304\u20133309 (2014)","journal-title":"Automatica"},{"issue":"2","key":"2503_CR20","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/0005-1098(76)90076-5","volume":"12","author":"PV Kokotovic","year":"1976","unstructured":"P.V. Kokotovic, R.E. O\u2019Malley, P. Sannuti, Singular perturbations and order reduction in control theory\u2014an overview. Automatica 12(2), 123\u2013132 (1976)","journal-title":"Automatica"},{"issue":"12","key":"2503_CR21","doi-asserted-by":"crossref","first-page":"1876","DOI":"10.1177\/1077546311426592","volume":"18","author":"R Komarasamy","year":"2012","unstructured":"R. Komarasamy, N. Albhonso, G. Gurusamy, Order reduction of linear systems with an improved pole clustering. J. Vib. Control. 18(12), 1876\u20131885 (2012)","journal-title":"J. Vib. Control."},{"issue":"4","key":"2503_CR22","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/0167-6911(85)90014-3","volume":"5","author":"GA Latham","year":"1985","unstructured":"G.A. Latham, B.D.O. Anderson, Frequency-weighted optimal Hankel-norm approximation of stable transfer functions. Syst. Control. Lett. 5(4), 229\u2013236 (1985)","journal-title":"Syst. Control. Lett."},{"issue":"4","key":"2503_CR23","doi-asserted-by":"crossref","first-page":"1379","DOI":"10.1080\/00207178908953437","volume":"50","author":"Y Liu","year":"1989","unstructured":"Y. Liu, B.D.O. Anderson, Singular perturbation approximation of balanced systems. Int. J. Control. 50(4), 1379\u20131405 (1989)","journal-title":"Int. J. Control."},{"key":"2503_CR24","doi-asserted-by":"crossref","unstructured":"J. Mohammadpour, K.M. Grigoriadis, Efficient modeling and control of large-scale systems. In: Efficient Modeling and Control of Large-Scale Systems. Springer Science & Business Media (2010)","DOI":"10.1007\/978-1-4419-5757-3"},{"issue":"1","key":"2503_CR25","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1109\/TAC.1981.1102568","volume":"26","author":"BC Moore","year":"1981","unstructured":"B.C. Moore, Principal component analysis in linear systems: controllability, observability, and model reduction. IEEE Trans. Automat. Contr. 26(1), 17\u201332 (1981)","journal-title":"IEEE Trans. Automat. Contr."},{"issue":"2","key":"2503_CR26","first-page":"201","volume":"34","author":"A Narwal","year":"2017","unstructured":"A. Narwal, R. Prasad, Optimization of LTI systems using modified clustering algorithm. IETE Tech. Rev. (Institution Electron Telecommun Eng India). 34(2), 201\u2013213 (2017)","journal-title":"IETE Tech. Rev. (Institution Electron Telecommun Eng India)."},{"key":"2503_CR27","unstructured":"J. Pal, Reduced order models for control studies. Ph.D. Thesis, University of Roorkee, Roorkee, India (1980)"},{"issue":"8","key":"2503_CR28","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1049\/el:19790159","volume":"15","author":"J Pal","year":"1979","unstructured":"J. Pal, Stable reduced-order pad\u00e9 approximants using the routh-hurwitz array. Electron. Lett. 15(8), 225\u2013226 (1979)","journal-title":"Electron. Lett."},{"key":"2503_CR29","doi-asserted-by":"crossref","unstructured":"G. Parmar, S. Mukherjee, R. Prasad, System reduction using eigen spectrum analysis and Pad\u00e9 approximation technique. Int J Comput Math. (2007)","DOI":"10.1080\/00207160701345566"},{"issue":"11","key":"2503_CR30","doi-asserted-by":"crossref","first-page":"2542","DOI":"10.1016\/j.apm.2006.10.004","volume":"31","author":"G Parmar","year":"2007","unstructured":"G. Parmar, S. Mukherjee, R. Prasad, System reduction using factor division algorithm and eigen spectrum analysis. Appl. Math. Model. 31(11), 2542\u20132552 (2007)","journal-title":"Appl. Math. Model."},{"key":"2503_CR31","doi-asserted-by":"crossref","unstructured":"A.K. Prajapati, R. Prasad, Order reduction of linear dynamic systems with an improved routh stability method. In: 2018 International Conference on Control, Power, Communication and Computing Technologies, ICCPCCT 2018, pp. 362\u2013367 (2018)","DOI":"10.1109\/ICCPCCT.2018.8574308"},{"key":"2503_CR32","doi-asserted-by":"crossref","unstructured":"A.K. Prajapati, R. Prasad, A new model reduction method for the linear dynamic systems and its application for the design of compensator. Circuits Syst Signal Process, pp. 1\u201321 (2019)","DOI":"10.1007\/s00034-019-01264-1"},{"issue":"11","key":"2503_CR33","doi-asserted-by":"publisher","first-page":"5289","DOI":"10.1007\/s00034-019-01109-x","volume":"38","author":"AK Prajapati","year":"2019","unstructured":"A.K. Prajapati, R. Prasad, Order reduction in linear dynamical systems by using improved balanced realization technique. Circuits Syst. Signal Process. 38(11), 5289\u20135303 (2019). https:\/\/doi.org\/10.1007\/s00034-019-01109-x","journal-title":"Circuits Syst. Signal Process."},{"issue":"7","key":"2503_CR34","doi-asserted-by":"crossref","first-page":"3340","DOI":"10.1007\/s00034-018-1010-6","volume":"38","author":"AK Prajapati","year":"2019","unstructured":"A.K. Prajapati, R. Prasad, Reduced-order modelling of LTI systems by using Routh approximation and factor division methods. Circuits Syst. Signal Process. 38(7), 3340\u20133355 (2019)","journal-title":"Circuits Syst. Signal Process."},{"issue":"6","key":"2503_CR35","doi-asserted-by":"crossref","first-page":"827","DOI":"10.1080\/03772063.2018.1464971","volume":"65","author":"AK Prajapati","year":"2019","unstructured":"A.K. Prajapati, R. Prasad, Model order reduction by using the balanced truncation and factor division methods. IETE J. Res. 65(6), 827\u2013842 (2019)","journal-title":"IETE J. Res."},{"key":"2503_CR36","doi-asserted-by":"crossref","unstructured":"A.K. Prajapati, R. Prasad, J. Pal, Contribution of time moments and markov parameters in reduced order modeling. In: 2018 3rd International Conference for Convergence in Technology, I2CT 2018. IEEE, pp. 1\u20137 (2018)","DOI":"10.1109\/I2CT.2018.8529745"},{"issue":"10","key":"2503_CR37","doi-asserted-by":"publisher","first-page":"4849","DOI":"10.1007\/s00034-020-01412-y","volume":"39","author":"AK Prajapati","year":"2020","unstructured":"A.K. Prajapati, V.G.D. Rayudu, A. Sikander, R. Prasad, A New Technique for the reduced-order modelling of linear dynamic systems and design of controller. Circuits Syst. Signal Process. 39(10), 4849\u20134867 (2020). https:\/\/doi.org\/10.1007\/s00034-020-01412-y","journal-title":"Circuits Syst. Signal Process."},{"issue":"7","key":"2503_CR38","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1109\/9.29399","volume":"34","author":"MG Safonov","year":"1989","unstructured":"M.G. Safonov, R.Y. Chiang, A Schur method for balanced-truncation model reduction. IEEE Trans. Automat. Contr. 34(7), 729\u2013733 (1989)","journal-title":"IEEE Trans. Automat. Contr."},{"key":"2503_CR39","doi-asserted-by":"crossref","unstructured":"D.K. Sambariya, G. Arvind, Reduced order modelling of SMIB power system using stability equation method and firefly algorithm. In: 2016 IEEE 6th International Conference on Power Systems, ICPS 2016, pp. 1\u20136 (2016)","DOI":"10.1109\/ICPES.2016.7584100"},{"issue":"5","key":"2503_CR40","first-page":"1","volume":"13","author":"D Sambariya","year":"2016","unstructured":"D. Sambariya, G. Arvind, High order diminution of LTI system using stability equation method. Br. J. Math. Comput. Sci. 13(5), 1\u201315 (2016)","journal-title":"Br. J. Math. Comput. Sci."},{"issue":"1","key":"2503_CR41","first-page":"253","volume":"14","author":"DK Sambariya","year":"2019","unstructured":"D.K. Sambariya, A.K. Sharma, T. Gupta, Order reduction of air core transformer using continued fraction. J. Eng. Sci. Technol. 14(1), 253\u2013264 (2019)","journal-title":"J. Eng. Sci. Technol."},{"key":"2503_CR42","doi-asserted-by":"crossref","unstructured":"P. Saraswat, G. Parmar, Model order reduction of transformer linear section model using Simulated Annealing. In: 2015 Communication, Control and Intelligent Systems (CCIS), IEEE,\u00a0(pp. 272\u2013276) (2015)","DOI":"10.1109\/CCIntelS.2015.7437922"},{"issue":"11","key":"2503_CR43","first-page":"3494","volume":"2","author":"CH Seshukumar","year":"2013","unstructured":"C.H. Seshukumar, B. Dasu, M.S. Kumar, A hybrid reduction technique for transformer linear section model. Int J Eng Res Technol. 2(11), 3494\u20133498 (2013)","journal-title":"Int J Eng Res Technol."},{"issue":"5","key":"2503_CR44","doi-asserted-by":"crossref","first-page":"615","DOI":"10.1109\/TAC.1974.1100661","volume":"19","author":"Y Shamash","year":"1974","unstructured":"Y. Shamash, Stable reduced-order models using pade-type approximations. IEEE Trans Automat Contr. 19(5), 615\u2013616 (1974)","journal-title":"IEEE Trans Automat Contr."},{"issue":"16","key":"2503_CR45","doi-asserted-by":"crossref","first-page":"4848","DOI":"10.1016\/j.apm.2015.04.014","volume":"39","author":"A Sikander","year":"2015","unstructured":"A. Sikander, R. Prasad, Linear time-invariant system reduction using a mixed methods approach. Appl Math Model. 39(16), 4848\u20134858 (2015)","journal-title":"Appl Math Model."},{"issue":"11","key":"2503_CR46","doi-asserted-by":"crossref","first-page":"3471","DOI":"10.1007\/s00034-015-0018-4","volume":"34","author":"A Sikander","year":"2015","unstructured":"A. Sikander, R. Prasad, Soft computing approach for model order reduction of linear time invariant systems. Circuits Syst Signal Process. 34(11), 3471\u20133487 (2015)","journal-title":"Circuits Syst Signal Process."},{"key":"2503_CR47","doi-asserted-by":"crossref","unstructured":"A. Sikander, P. Rajendra, A new technique for reduced-order modelling of linear time-invariant system. IETE J. Res. 63(3), 316\u2013324 (2017)","DOI":"10.1080\/03772063.2016.1272436"},{"issue":"10","key":"2503_CR48","doi-asserted-by":"crossref","first-page":"3449","DOI":"10.1007\/s00500-017-2589-4","volume":"22","author":"A Sikander","year":"2018","unstructured":"A. Sikander, P. Thakur, Reduced order modelling of linear time-invariant system using modified cuckoo search algorithm. Soft Comput. 22(10), 3449\u20133459 (2018)","journal-title":"Soft Comput."},{"key":"2503_CR49","doi-asserted-by":"crossref","unstructured":"A. Sikander, P. Thakur, I. Uniyal, Hybrid method of reduced order modelling for LTI system using evolutionary algorithm. In: Proceedings on 2016 2nd International Conference on Next Generation Computing Technologies, NGCT 2016. IEEE, pp. 84\u201388 (2017)","DOI":"10.1109\/NGCT.2016.7877394"},{"key":"2503_CR50","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1016\/j.compeleceng.2017.07.005","volume":"70","author":"A Sikander","year":"2018","unstructured":"A. Sikander, P. Thakur, R.C. Bansal, S. Rajasekar, A novel technique to design cuckoo search based FOPID controller for AVR in power systems. Comput. Electr. Eng. 70, 261\u2013274 (2018)","journal-title":"Comput. Electr. Eng."},{"key":"2503_CR51","doi-asserted-by":"crossref","unstructured":"J. Singh, C.B. Vishwakarma, K. Chatterjee, SISO method using improved modified pole clustering and genetic algorithm. In: International Conference on Energy Economics and Environment\u20141st IEEE Uttar Pradesh Section Conference, UPCON-ICEEE 2015. IEEE, pp. 1\u20134 (2015)","DOI":"10.1109\/EnergyEconomics.2015.7235117"},{"issue":"4","key":"2503_CR52","first-page":"541","volume":"44","author":"M Srinivsan","year":"2010","unstructured":"M. Srinivsan, A. Krishnan, Transformer linear section model order reduction with an improved pole clustering. Eur. J. Sci. Res. 44(4), 541\u2013549 (2010)","journal-title":"Eur. J. Sci. Res."},{"issue":"5","key":"2503_CR53","first-page":"939","volume":"5","author":"SK Suman","year":"2020","unstructured":"S.K. Suman, Reduction of large-scale dynamical systems by extended balanced singular perturbation approximation. Int. .J Math. Eng. Manag. Sci. 5(5), 939\u2013956 (2020)","journal-title":"Int. .J Math. Eng. Manag. Sci."},{"key":"2503_CR54","doi-asserted-by":"publisher","unstructured":"S.K. Suman, A. Kumar, Investigation and Implementation of model order reduction technique for large scale dynamical systems. Arch. Comput. Methods Eng., pp. 1\u201323 (2022). https:\/\/doi.org\/10.1007\/s11831-021-09690-8","DOI":"10.1007\/s11831-021-09690-8"},{"key":"2503_CR55","first-page":"175","volume":"18","author":"SK Suman","year":"2019","unstructured":"S.K. Suman, A. Kumar, Investigation and reduction of large-scale dynamical systems. WSEAS Trans. Syst. 18, 175\u2013180 (2019)","journal-title":"WSEAS Trans. Syst."},{"issue":"3","key":"2503_CR56","first-page":"1","volume":"2020","author":"SK Suman","year":"2020","unstructured":"S.K. Suman, A. Kumar, Higher-order reduction of linear system and design of controller. Sci J King Faisal Univ. 2020(3), 1\u201316 (2020)","journal-title":"Sci J King Faisal Univ."},{"issue":"3","key":"2503_CR57","doi-asserted-by":"crossref","first-page":"41","DOI":"10.13189\/ujca.2020.080301","volume":"8","author":"SK Suman","year":"2020","unstructured":"S.K. Suman, A. Kumar, Model reduction of power system by modified balanced truncation method. Univ. J. Control. Autom. 8(3), 41\u201352 (2020)","journal-title":"Univ. J. Control. Autom."},{"issue":"6","key":"2503_CR58","doi-asserted-by":"crossref","first-page":"2741","DOI":"10.1007\/s00034-020-01596-3","volume":"40","author":"SK Suman","year":"2021","unstructured":"S.K. Suman, A. Kumar, Linear system of order reduction using a modified balanced truncation method. Circuits Syst. Signal Process. 40(6), 2741\u20132762 (2021)","journal-title":"Circuits Syst. Signal Process."},{"key":"2503_CR59","first-page":"787","volume":"56","author":"CB Vishwakarma","year":"2011","unstructured":"C.B. Vishwakarma, Order reduction using modified pole clustering and Pade approximations. World Acad. Sci. Eng. Technol. 56, 787\u2013791 (2011)","journal-title":"World Acad. Sci. Eng. Technol."},{"issue":"5","key":"2503_CR60","doi-asserted-by":"crossref","first-page":"326","DOI":"10.4103\/0377-2063.48531","volume":"54","author":"CB Vishwakarma","year":"2009","unstructured":"C.B. Vishwakarma, R. Prasad, Clustering method for reducing order of linear system using pade approximation. IETE J. Res. 54(5), 326\u2013330 (2009)","journal-title":"IETE J. Res."},{"key":"2503_CR61","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2009\/540895","volume":"2009","author":"CB Vishwakarma","year":"2009","unstructured":"C.B. Vishwakarma, R. Prasad, MIMO system reduction using modified pole clustering and genetic algorithm. Model. Simul. Eng. 2009, 1\u20135 (2009)","journal-title":"Model. Simul. Eng."},{"key":"2503_CR62","doi-asserted-by":"crossref","unstructured":"J.-C. Yoccoz, Continued fraction algorithms for interval exchange maps: an introduction. In: Frontiers in Number Theory, Physics, and Geometry I. Proceedings of the Spring School at Les Houches, France, pp. 401\u2013435 (2007)","DOI":"10.1007\/978-3-540-31347-2_12"},{"issue":"3","key":"2503_CR63","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1002\/(SICI)1099-1239(199903)9:3<183::AID-RNC399>3.0.CO;2-E","volume":"9","author":"K Zhou","year":"1999","unstructured":"K. Zhou, G. Salomon, E. Wu, Balanced realization and model reduction for unstable systems. Int. J. Robust. Nonlinear Control. 9(3), 183\u2013198 (1999)","journal-title":"Int. J. Robust. Nonlinear Control."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-023-02503-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-023-02503-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-023-02503-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T22:31:52Z","timestamp":1730241112000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-023-02503-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,3]]},"references-count":63,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,2]]}},"alternative-id":["2503"],"URL":"https:\/\/doi.org\/10.1007\/s00034-023-02503-2","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,10,3]]},"assertion":[{"value":"25 November 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 August 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 August 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 October 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no conflict of interest regarding this research work.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}