{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T22:09:01Z","timestamp":1742940541894,"version":"3.40.3"},"publisher-location":"New Delhi","reference-count":27,"publisher":"Springer India","isbn-type":[{"type":"print","value":"9788132217671"},{"type":"electronic","value":"9788132217688"}],"license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"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":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-81-322-1768-8_25","type":"book-chapter","created":{"date-parts":[[2014,3,4]],"date-time":"2014-03-04T00:11:09Z","timestamp":1393891869000},"page":"265-277","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Model Order Reduction of Time Interval System: A Survey"],"prefix":"10.1007","author":[{"given":"Mahendra","family":"Kumar","sequence":"first","affiliation":[]},{"family":"Aman","sequence":"additional","affiliation":[]},{"given":"Siyaram","family":"Yadav","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,3,4]]},"reference":[{"key":"25_CR1","doi-asserted-by":"crossref","unstructured":"Kumar, M., Gupta, R.: Design of decentralized PSSs for multi machine power system via reduced order model. In: 4th IEEE international conference on computational intelligence and communication networks (CICN), pp. 617\u2013621 (2012)","DOI":"10.1109\/CICN.2012.91"},{"key":"25_CR2","doi-asserted-by":"crossref","unstructured":"Singh, V.P., Chandra, D.: Routh approximation based model reduction using series expansion of interval systems. In: IEEE International conference on power, control & embedded systems (ICPCES), vol 1, pp. 1\u20134 (2010)","DOI":"10.1109\/ICPCES.2010.5698658"},{"key":"25_CR3","first-page":"308","volume":"2","author":"E Hansen","year":"1965","unstructured":"Hansen, E.: Interval arithmetic in matrix computations. Part I, SIAM J. Num.Anal. 2, 308\u2013320 (1965)","journal-title":"Part I, SIAM J. Num.Anal."},{"issue":"2","key":"25_CR4","doi-asserted-by":"publisher","first-page":"454","DOI":"10.1109\/TAC.1982.1102930","volume":"27","author":"PO Gutman","year":"1982","unstructured":"Gutman, P.O., Mannerfelt, C.F., Molander, P.: Contributions to the model reduction problem. IEEE Trans. Autom. Control 27(2), 454\u2013455 (1982)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"10","key":"25_CR5","first-page":"51976","volume":"2","author":"DK Saini","year":"2010","unstructured":"Saini, D.K., Prasad, R.: Mixed evolutionary techniques to reduce order of linear interval systems using generlized routh array. Int. J. Eng. Sci. Technol. 2(10), 51976\u201355205 (2010)","journal-title":"Int. J. Eng. Sci. Technol."},{"issue":"1","key":"25_CR6","doi-asserted-by":"publisher","first-page":"6","DOI":"10.9756\/BIJDM.10131","volume":"3","author":"DK Kumar","year":"2013","unstructured":"Kumar, D.K., Nagar, S.K., Tiwari, J.P.: A new algorithm for model order reduction of interval systems. Bonfring Int. J. Data Min. 3(1), 6 (2013)","journal-title":"Bonfring Int. J. Data Min."},{"key":"25_CR7","unstructured":"Kumar, D.K., Nagar, S.K., Tiwari, J.P.: Model order reduction of interval systems using modified Routh approximation and factor division method. In: 35th national system conference (NSC), IIT Bhubaneswar, India (2011)"},{"issue":"7","key":"25_CR8","first-page":"5593","volume":"3","author":"DK Kumar","year":"2011","unstructured":"Kumar, D.K., Nagar, S.K., Tiwari, J.P.: Model order reduction of interval systems using mihailov criterion and routh approximations. Int. J. Eng. Sci. Technol. (IJEST) 3(7), 5593\u20135598 (2011)","journal-title":"Int. J. Eng. Sci. Technol. (IJEST)"},{"issue":"11","key":"25_CR9","first-page":"4","volume":"28","author":"DK Kumar","year":"2011","unstructured":"Kumar, D.K., Nagar, S.K., Tiwari, J.P.: Model order reduction of interval systems using mihailov criterion and factor division method. Int. J. Comput. Appl. (IJCA) 28(11), 4\u20138 (2011)","journal-title":"Int. J. Comput. Appl. (IJCA)"},{"key":"25_CR10","series-title":"Lecture Notes in Control and Information Sciences","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0040045","volume-title":"Robust Stabilization Against Structured Perturbations","author":"SP Bhattacharya","year":"1987","unstructured":"Bhattacharya, S.P.: Robust Stabilization Against Structured Perturbations. Lecture Notes in Control and Information Sciences. Springer, New York (1987)"},{"issue":"8","key":"25_CR11","doi-asserted-by":"publisher","first-page":"1127","DOI":"10.1109\/9.618241","volume":"42","author":"B Bandyopadhyay","year":"1997","unstructured":"Bandyopadhyay, B., Upadhye, A., Ismail, O.: \u03b3\u2013\u03b4 Routh approximation for interval systems. IEEE Trans. Autom. Control 42(8), 1127\u20131130 (1997)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"9","key":"25_CR12","doi-asserted-by":"publisher","first-page":"1782","DOI":"10.1109\/9.788553","volume":"44","author":"C Hwang","year":"1999","unstructured":"Hwang, C., Yang, S.F.: Comments on the computations of interval Routh approximants. IEEE Trans. Autom. Control 44(9), 1782\u20131787 (1999)","journal-title":"IEEE Trans. Autom. Control"},{"key":"25_CR13","unstructured":"Ismail, O., Bandyopadhyay, B.: Model order reduction of linear interval systems using pade approximation. In: IEEE International Symposium on Circuit and Systems (1995)"},{"issue":"9","key":"25_CR14","doi-asserted-by":"publisher","first-page":"1610","DOI":"10.1109\/TAC.2003.816999","volume":"48","author":"Y Dolgin","year":"2003","unstructured":"Dolgin, Y., Zeheb, E.: On Routh pade model reduction of interval systems. IEEE Trans. Autom. Control 48(9), 1610\u20131612 (2003)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"3","key":"25_CR15","first-page":"348","volume":"44","author":"B Bandyopadhyay","year":"2008","unstructured":"Bandyopadhyay, B., Sreeram, V., Shingare, P.: Stable \u03b3\u2013\u03b4 Routh approximation for interval systems using Kharitonov polynomials. Int. J. Inf. Syst Sci. 44(3), 348\u2013361 (2008)","journal-title":"Int. J. Inf. Syst Sci."},{"issue":"6","key":"25_CR16","first-page":"17","volume":"32","author":"DK Kumar","year":"2011","unstructured":"Kumar, D.K., Nagar, S.K., Tiwari, J.P.: Model order reduction of interval systems using mihailov criterion and cauer second form. Int. J. Comput. Appl. 32(6), 17\u201321 (2011)","journal-title":"Int. J. Comput. Appl."},{"issue":"5","key":"25_CR17","first-page":"316","volume":"2","author":"DK Saini","year":"2010","unstructured":"Saini, D.K., Prasad, R.: Order reduction of linear interval systems using genetic algorithm. Int. J. Eng. Technol. 2(5), 316\u2013319 (2010)","journal-title":"Int. J. Eng. Technol."},{"issue":"3","key":"25_CR18","doi-asserted-by":"publisher","first-page":"108","DOI":"10.3923\/ajsr.2012.108.120","volume":"5","author":"T Babu","year":"2012","unstructured":"Babu, T., Natarajan, P.: Design of robust pid controller using hybrid algorithm for reduced order interval system. Asian J. Sci. Res. 5(3), 108\u2013120 (2012)","journal-title":"Asian J. Sci. Res."},{"issue":"8","key":"25_CR19","doi-asserted-by":"publisher","first-page":"768","DOI":"10.1049\/el:20000571","volume":"36","author":"GVK Sastry","year":"2000","unstructured":"Sastry, G.V.K., Raja Rao, G.R., Rao, P.M.: Large scale interval system modeling using Routh approximants. Electron. Lett. 36(8), 768 (2000)","journal-title":"Electron. Lett."},{"issue":"1","key":"25_CR20","first-page":"16","volume":"1","author":"DK Saini","year":"2011","unstructured":"Saini, D.K., Prasad, R.: Order reduction of linear interval systems using particle swarm optimization. MIT Int, J. Elect. Instrum. Eng. 1(1), 16\u201319 (2011)","journal-title":"MIT Int, J. Elect. Instrum. Eng."},{"key":"25_CR21","first-page":"2086","volume":"14","author":"VL Kharitonov","year":"1978","unstructured":"Kharitonov, V.L.: Asymptotic stability of an equilibrium position of a family of systems of linear differential equations. Differrential\u2019nye Uravneniya 14, 2086\u20132088 (1978)","journal-title":"Differrential\u2019nye Uravneniya"},{"key":"25_CR22","doi-asserted-by":"publisher","first-page":"2454","DOI":"10.1109\/9.362850","volume":"39","author":"B Bandyopadhyay","year":"1994","unstructured":"Bandyopadhyay, B., Ismail, O., Gorez, R.: Routh pade approximation for interval systems. IEEE Trans. Autom. Control 39, 2454\u20132456 (1994)","journal-title":"IEEE Trans. Autom. Control"},{"key":"25_CR23","doi-asserted-by":"crossref","unstructured":"Saraswathi, G.: A mixed method for order reduction of interval systems. In: International Conference on Intelligent and Advanced Systems, pp. 1042\u20131046 (2007)","DOI":"10.1109\/ICIAS.2007.4658543"},{"issue":"2","key":"25_CR24","doi-asserted-by":"publisher","first-page":"274","DOI":"10.1109\/TAC.2005.843849","volume":"50","author":"Y Dolgin","year":"2007","unstructured":"Dolgin, Y.: Author\u2019s reply. IEEE Trans. Autom. Control 50(2), 274\u2013275 (2007)","journal-title":"IEEE Trans. Autom. Control"},{"key":"25_CR25","doi-asserted-by":"crossref","unstructured":"Singh,V.P., Chandra, D.: Model reduction of discrete interval system using dominant poles retention and direct series expansion method. In: IEEE 5th international power engineering and optimization conference (PEOCO), vol 1, pp. 27\u201330 (2011)","DOI":"10.1109\/PEOCO.2011.5970421"},{"issue":"2","key":"25_CR26","first-page":"208","volume":"5","author":"Y Choo","year":"2007","unstructured":"Choo, Y.: A note on discrete interval system reduction via retention of dominant poles. Int. J. Control Autom. Syst. 5(2), 208\u2013211 (2007)","journal-title":"Int. J. Control Autom. Syst."},{"key":"25_CR27","unstructured":"Kumar, D.K., Nagar, S.K., Tiwari, J.P.: Model order reduction of interval systems using Routh approximations and cauer second form. Int. J. Adv. Sci. Technol. (IJAST (2011)"}],"container-title":["Advances in Intelligent Systems and Computing","Proceedings of the Third International Conference on Soft Computing for Problem Solving"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-81-322-1768-8_25","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,31]],"date-time":"2023-01-31T00:22:16Z","timestamp":1675124536000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-81-322-1768-8_25"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9788132217671","9788132217688"],"references-count":27,"URL":"https:\/\/doi.org\/10.1007\/978-81-322-1768-8_25","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2014]]},"assertion":[{"value":"4 March 2014","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}