{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T22:53:49Z","timestamp":1773615229642,"version":"3.50.1"},"reference-count":27,"publisher":"Allerton Press","issue":"1","license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"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":["Aut. Control Comp. Sci."],"published-print":{"date-parts":[[2017,1]]},"DOI":"10.3103\/s0146411617010084","type":"journal-article","created":{"date-parts":[[2017,3,23]],"date-time":"2017-03-23T07:52:11Z","timestamp":1490255531000},"page":"42-49","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A sufficient and necessary condition for stabilization of zeros in discrete-time multirate sampled systems"],"prefix":"10.3103","volume":"51","author":[{"given":"Cheng","family":"Zeng","sequence":"first","affiliation":[]},{"given":"Yingying","family":"Su","sequence":"additional","affiliation":[]},{"given":"Shan","family":"Liang","sequence":"additional","affiliation":[]}],"member":"1627","published-online":{"date-parts":[[2017,3,24]]},"reference":[{"key":"6570_CR1","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/0005-1098(84)90062-1","volume":"20","author":"K.J. Astrom","year":"1984","unstructured":"Astrom, K.J., Hagander, P., and Sternby, J., Zeros of sampled systems, Automatica, 1984, vol. 20, pp. 31\u201338.","journal-title":"Automatica"},{"issue":"10","key":"6570_CR2","first-page":"1213","volume":"30","author":"C. Zeng","year":"2013","unstructured":"Zeng, C., Liang, S., Li, H., and Su, Y., Current development and future challenges for zero dynamics of discrete- time systems, Control Theory Appl., 2013, vol. 30, no. 10, pp. 1213\u20131230.","journal-title":"Control Theory Appl."},{"issue":"4","key":"6570_CR3","first-page":"235","volume":"110-C","author":"T. Hagiwara","year":"1990","unstructured":"Hagiwara, T. and Araki, M., Properties of limiting zeros of sampled systems, Trans. Inst. Electr. Eng. Jpn., 1990, vol. 110-C, no. 4, pp. 235\u2013244.","journal-title":"Trans. Inst. Electr. Eng. Jpn."},{"key":"6570_CR4","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1109\/9.481531","volume":"41","author":"T. Hagiwara","year":"1996","unstructured":"Hagiwara, T., Analytic study on the intrinsic zeros of sampled-data system, IEEE Trans. Autom. Control, 1996, vol. 41, pp. 263\u2013783.","journal-title":"IEEE Trans. Autom. Control"},{"key":"6570_CR5","doi-asserted-by":"publisher","first-page":"1325","DOI":"10.1080\/00207179308923057","volume":"58","author":"T. Hagiwara","year":"1993","unstructured":"Hagiwara, T., Yuasa, T., and Araki, M., Stability of the limiting zeros of sampled-data systems with zero- and first-order holds, Int. J. Control, 1993, vol. 58, pp. 1325\u20131346.","journal-title":"Int. J. Control"},{"key":"6570_CR6","doi-asserted-by":"publisher","first-page":"340","DOI":"10.1109\/9.905706","volume":"46","author":"S.R. Weller","year":"2001","unstructured":"Weller, S.R., Moran, W., Ninness, B., and Pollington, A.D., Sampling zeros and the Euler-Frobenius polynomials, IEEE Trans. Autom. Control, 2001, vol. 46, pp. 340\u2013343.","journal-title":"IEEE Trans. Autom. Control"},{"key":"6570_CR7","doi-asserted-by":"publisher","first-page":"1229","DOI":"10.1109\/9.769380","volume":"44","author":"M.J. Blachuta","year":"1999","unstructured":"Blachuta, M.J., On zeros of pulse transfer functions, IEEE Trans. Autom. Control, 1999, vol. 44, pp. 1229\u20131234.","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"6570_CR8","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1007\/s11071-014-1646-0","volume":"79","author":"C. Zeng","year":"2015","unstructured":"Zeng, C., Liang, S., and Li, H., The properties of zero dynamics for nonlinear discretized systems with time delay via Taylor method, Nonlinear Dyn., 2015, vol. 79, no. 1, pp. 11\u201325.","journal-title":"Nonlinear Dyn."},{"key":"6570_CR9","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1109\/9.739097","volume":"44","author":"S.R. Weller","year":"1999","unstructured":"Weller, S.R., Limiting zeros of decouplable MIMO systems, IEEE Trans. Autom. Control, 1999, vol. 44, pp. 292\u2013300.","journal-title":"IEEE Trans. Autom. Control"},{"issue":"11","key":"6570_CR10","doi-asserted-by":"publisher","first-page":"2985","DOI":"10.1109\/TAC.2013.2261175","volume":"58","author":"M. Ishitobi","year":"2013","unstructured":"Ishitobi, M., Nishi, M., and Kunimatsu, S., Asymptotic properties and stability criteria of zeros of sampled-data models for decouplable MIMO systems, IEEE Trans. Autom. Control, 2013, vol. 58, no. 11, pp. 2985\u20132990.","journal-title":"IEEE Trans. Autom. Control"},{"key":"6570_CR11","first-page":"1","volume":"2014","author":"C. Zeng","year":"2014","unstructured":"Zeng, C., Liang, S., Zhong, J., and Su, Y., Improvement of the asymptotic properties of zero dynamics for sampled- data systems in the case of a time delay, Abstr. Appl. Anal., 2014, vol. 2014, pp. 1\u201312.","journal-title":"Abstr. Appl. Anal."},{"key":"6570_CR12","doi-asserted-by":"publisher","first-page":"1905","DOI":"10.1080\/00207178808906145","volume":"47","author":"K.M. Passino","year":"1988","unstructured":"Passino, K.M. and Antsaklis, P.J., Inverse stable sampled low-pass systems, Int. J. Control, 1988, vol. 47, pp. 1905\u20131913.","journal-title":"Int. J. Control"},{"key":"6570_CR13","doi-asserted-by":"publisher","first-page":"296","DOI":"10.1049\/ip-cta:19960394","volume":"143","author":"M. Ishitobi","year":"1996","unstructured":"Ishitobi, M., Stability of zeros of sampled system with fractional order hold, IEEE Proc. Control Theory Appl., 1996, vol. 143, pp. 296\u2013300.","journal-title":"IEEE Proc. Control Theory Appl."},{"issue":"4","key":"6570_CR14","doi-asserted-by":"publisher","first-page":"456","DOI":"10.1049\/ip-cta:20000550","volume":"147","author":"R. Barcena","year":"2000","unstructured":"Barcena, R., de la Sen, M., and Sagastabeitia, I., Improving the stability properties of the zeros of sampled systems with fractional order hold, IEEE Proc. Control Theory Appl., 2000, vol. 147, no. 4, pp. 456\u2013464.","journal-title":"IEEE Proc. Control Theory Appl."},{"issue":"2","key":"6570_CR15","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1049\/ip-cta:20010196","volume":"148","author":"R. Barcena","year":"2001","unstructured":"Barcena, R., de la Sen, M., Sagastabeitia, I., and Collantes, J.M., Discrete control for a computer hard disk by using a fractional order hold device, IEEE Proc. Control Theory Appl., 2001, vol. 148, no. 2, pp. 117\u2013124.","journal-title":"IEEE Proc. Control Theory Appl."},{"key":"6570_CR16","doi-asserted-by":"publisher","first-page":"1699","DOI":"10.1080\/00207170310001631945","volume":"76","author":"S. Liang","year":"2003","unstructured":"Liang, S., Ishitobi, M., and Zhu, Q., Improvement of stability of zeros in discrete-time multivariable systems using fractional-order hold, Int. J. Control, 2003, vol. 76, pp. 1699\u20131711.","journal-title":"Int. J. Control"},{"issue":"4","key":"6570_CR17","doi-asserted-by":"publisher","first-page":"745","DOI":"10.2478\/amcs-2014-0055","volume":"24","author":"C. Zeng","year":"2014","unstructured":"Zeng, C., Liang, S., Zhang, Y., Zhong, J., and Su, Y., Improving the stability of discretization zeros with the Taylor method using a generalization of the fractional-order hold, Int. J. Appl. Math. Comput. Sci., 2014, vol. 24, no. 4, pp. 745\u2013757.","journal-title":"Int. J. Appl. Math. Comput. Sci."},{"key":"6570_CR18","first-page":"1","volume":"2013","author":"C. Zeng","year":"2013","unstructured":"Zeng, C., Liang, S., and Su, Y., Improving the asymptotic properties of discrete system zeros in fractional-order hold case, J. Appl. Math., 2013, vol. 2013, pp. 1\u201317.","journal-title":"J. Appl. Math."},{"issue":"11","key":"6570_CR19","first-page":"88","volume":"246","author":"C. Zeng","year":"2014","unstructured":"Zeng, C. and Liang, S., Zeros dynamics of sampled-data models for nonlinear multivariable systems in fractional- order hold caseI, Appl. Math. Comput., 2014, vol. 246, no. 11, pp. 88\u2013102.","journal-title":"Appl. Math. Comput."},{"issue":"2","key":"6570_CR20","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1049\/ip-cta:20030066","volume":"150","author":"R. B\u2019arcena","year":"2003","unstructured":"B\u2019arcena, R. and de la Sen, M., On the sufficiently small sampling period for the convenient turning of fractional order hold circuits, IEEE Proc. Control Theory Appl., 2003, vol. 150, no. 2, pp. 183\u2013188.","journal-title":"IEEE Proc. Control Theory Appl."},{"issue":"6","key":"6570_CR21","doi-asserted-by":"publisher","first-page":"789","DOI":"10.1080\/002071798222541","volume":"69","author":"J.T. Chan","year":"1998","unstructured":"Chan, J.T., On the stabilization of discrete system zeros, Int. J. Control, 1998, vol. 69, no. 6, pp. 789\u2013796.","journal-title":"Int. J. Control"},{"issue":"7","key":"6570_CR22","doi-asserted-by":"publisher","first-page":"772","DOI":"10.1109\/TAC.1987.1104711","volume":"AC-32","author":"P.T. Kabamba","year":"1987","unstructured":"Kabamba, P.T., Control of linear systems using generalized sampled data hold functions, IEEE Trans. Autom. Control, 1987, vol. AC-32, no. 7, pp. 772\u2013783.","journal-title":"IEEE Trans. Autom. Control"},{"issue":"10","key":"6570_CR23","doi-asserted-by":"publisher","first-page":"759","DOI":"10.1080\/00207170210144920","volume":"75","author":"J.T. Chan","year":"2002","unstructured":"Chan, J.T., Stabilization of discrete system zeros: A improved design, Int. J. Control, 2002, vol. 75, no. 10, pp. 759\u2013765.","journal-title":"Int. J. Control"},{"key":"6570_CR24","doi-asserted-by":"publisher","first-page":"180","DOI":"10.1049\/ip-cta:20040038","volume":"151","author":"S. Liang","year":"2004","unstructured":"Liang, S. and Ishitobi, M., Properties of zeros of discretised system using multirate input and hold, IEEE Proc. Control Theory Appl., 2004, vol. 151, pp. 180\u2013184.","journal-title":"IEEE Proc. Control Theory Appl."},{"key":"6570_CR25","first-page":"761","volume-title":"43rd IEEE Conference on Decision and Control (CDC\u20192004)","author":"J.I. Yuz","year":"2004","unstructured":"Yuz, J.I., Goodwin, G.C., and Garnier, H., Generalized hold functions for fast sampling rates, 43rd IEEE Conference on Decision and Control (CDC\u20192004), Atlantis, Bahamas, 2004, pp. 761\u2013765."},{"issue":"6","key":"6570_CR26","doi-asserted-by":"publisher","first-page":"1171","DOI":"10.1016\/j.automatica.2012.03.004","volume":"48","author":"U. Ugalde","year":"2012","unstructured":"Ugalde, U., B`arcena, R., and Basterretxea, K., Generalized sampled-data hold functions with asymptotic zeroorder hold behavior and polynomic reconstruction, Automatica, 2012, vol. 48, no. 6, pp. 1171\u20131176.","journal-title":"Automatica"},{"key":"6570_CR27","first-page":"2917","volume":"6","author":"S. Liang","year":"2010","unstructured":"Liang, S., Xian, X., Ishitobi, M., and Xie, K., Stability of zeros of discrete time multivariable systems with GSHF, Int. J. Innovative Comput. Inf. Control, 2010, vol. 6, pp. 2917\u20132926.","journal-title":"Int. J. Innovative Comput. Inf. Control"}],"container-title":["Automatic Control and Computer Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.3103\/S0146411617010084.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.3103\/S0146411617010084","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.3103\/S0146411617010084.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T21:57:08Z","timestamp":1773611828000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.3103\/S0146411617010084"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1]]},"references-count":27,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,1]]}},"alternative-id":["6570"],"URL":"https:\/\/doi.org\/10.3103\/s0146411617010084","relation":{},"ISSN":["0146-4116","1558-108X"],"issn-type":[{"value":"0146-4116","type":"print"},{"value":"1558-108X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1]]},"assertion":[{"value":"24 March 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 October 2016","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 March 2017","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}