{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:15Z","timestamp":1740134535346,"version":"3.37.3"},"reference-count":19,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["60574003","2013CB328903","cstc2012jjA40026","CDJXS12170006"],"award-info":[{"award-number":["60574003","2013CB328903","cstc2012jjA40026","CDJXS12170006"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Basic Research Program of China","doi-asserted-by":"crossref","award":["60574003","2013CB328903","cstc2012jjA40026","CDJXS12170006"],"award-info":[{"award-number":["60574003","2013CB328903","cstc2012jjA40026","CDJXS12170006"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100005230","name":"Natural Science Foundation of Chongqing","doi-asserted-by":"publisher","award":["60574003","2013CB328903","cstc2012jjA40026","CDJXS12170006"],"award-info":[{"award-number":["60574003","2013CB328903","cstc2012jjA40026","CDJXS12170006"]}],"id":[{"id":"10.13039\/501100005230","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["60574003","2013CB328903","cstc2012jjA40026","CDJXS12170006"],"award-info":[{"award-number":["60574003","2013CB328903","cstc2012jjA40026","CDJXS12170006"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>Remarkable improvements in the asymptotic properties of discrete system zeros may be achieved by properly adjusted fractional-order hold (FROH) circuit. This paper analyzes asymptotic properties of the limiting zeros, as the sampling period<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>T<\/mml:mi><\/mml:mrow><\/mml:math>tends to zero, of the sampled-data models on the basis of the normal form representation of the continuous-time systems with FROH. Moreover, when the relative degree of the continuous-time system is equal to one or two, an approximate expression of the limiting zeros for the sampled-data system with FROH is also given as power series with respect to a sampling period up to the third-order term. And, further, the corresponding stability conditions of the sampling zeros are discussed for fast sampling rates. The ideas of the paper here provide a more accurate approximation for asymptotic zeros, and certain known achievements on asymptotic behavior of limiting zeros are shown to be particular cases of the results presented.<\/jats:p>","DOI":"10.1155\/2013\/268684","type":"journal-article","created":{"date-parts":[[2013,12,26]],"date-time":"2013-12-26T21:00:54Z","timestamp":1388091654000},"page":"1-16","source":"Crossref","is-referenced-by-count":3,"title":["Improving the Asymptotic Properties of Discrete System Zeros in Fractional-Order Hold Case"],"prefix":"10.1155","volume":"2013","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8721-6178","authenticated-orcid":true,"given":"Cheng","family":"Zeng","sequence":"first","affiliation":[{"name":"College of Automation, Chongqing University, Chongqing 400044, China"},{"name":"Department of Mathematics, Guiyang University, Guiyang 550005, China"}]},{"given":"Shan","family":"Liang","sequence":"additional","affiliation":[{"name":"College of Automation, Chongqing University, Chongqing 400044, China"},{"name":"Key Laboratory of Dependable Service Computing in Cyber Physical Society Ministry of Education, Chongqing University, Chongqing 400044, China"}]},{"given":"Yingying","family":"Su","sequence":"additional","affiliation":[{"name":"College of Automation, Chongqing University, Chongqing 400044, China"},{"name":"Department of Electric and Electronic Information Engineering, Chongqing University of Science and Technology, Chongqing 401331, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(84)90062-1"},{"issue":"4","key":"2","first-page":"235","volume":"110-c","year":"1990","journal-title":"Transactions of the Institute of Electrical Engineers of Japan"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/9.481531"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1080\/00207179308923057"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1109\/9.905706"},{"issue":"6","key":"6","doi-asserted-by":"crossref","first-page":"C1229","DOI":"10.1109\/9.769380","volume":"44","year":"1999","journal-title":"IEEE Transactions on Automatic Control"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(83)80006-1"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/9.739097"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1109\/9.839952"},{"issue":"4","key":"10","first-page":"439","volume":"33","year":"2007","journal-title":"Acta Automatica Sinica"},{"issue":"6","key":"11","doi-asserted-by":"crossref","first-page":"1905","DOI":"10.1080\/00207178808906145","volume":"47","year":"1988","journal-title":"International Journal of Control"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cta:19960394"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cta:20000550"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cta:20010196"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1080\/00207170310001631945"},{"issue":"3","key":"16","first-page":"299","volume":"11","year":"2004","journal-title":"Dynamics of Continuous, Discrete & Impulsive Systems B"},{"year":"1995","key":"19"},{"year":"2002","key":"20"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1109\/81.933332"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/268684.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/268684.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/268684.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,11]],"date-time":"2020-05-11T18:00:08Z","timestamp":1589220008000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/268684\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":19,"alternative-id":["268684","268684"],"URL":"https:\/\/doi.org\/10.1155\/2013\/268684","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}