{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T16:40:00Z","timestamp":1762101600830},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2014,9,17]],"date-time":"2014-09-17T00:00:00Z","timestamp":1410912000000},"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":["Sci. China Inf. Sci."],"published-print":{"date-parts":[[2015,5]]},"DOI":"10.1007\/s11432-014-5173-x","type":"journal-article","created":{"date-parts":[[2014,9,17]],"date-time":"2014-09-17T17:16:53Z","timestamp":1410974213000},"page":"1-12","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Two new upper bounds of the solution for the continuous algebraic Riccati equation and their application"],"prefix":"10.1007","volume":"58","author":[{"given":"YaPing","family":"Xia","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ChenXiao","family":"Cai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MingHui","family":"Yin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yun","family":"Zou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,9,17]]},"reference":[{"key":"5173_CR1","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1109\/TAC.2005.863514","volume":"51","author":"C H Lee","year":"2006","unstructured":"Lee C H. New upper solution bounds of the continuous algebraic Riccati matrix equation. IEEE Trans Automat Contr, 2006, 51: 330\u2013334","journal-title":"IEEE Trans Automat Contr"},{"key":"5173_CR2","doi-asserted-by":"crossref","first-page":"2128","DOI":"10.1016\/j.jfranklin.2011.06.007","volume":"348","author":"J Z Liu","year":"2011","unstructured":"Liu J Z, Zhang J, Liu Y. New solution bounds for the continuous algebraic Riccati equation. J Franklin Inst, 2011, 348: 2128\u20132141","journal-title":"J Franklin Inst"},{"key":"5173_CR3","doi-asserted-by":"crossref","first-page":"1477","DOI":"10.1007\/s00034-012-9498-7","volume":"32","author":"W Zhang","year":"2013","unstructured":"Zhang W, Su H S, Wang J. Computation of upper bounds for the solution of continuous algebraic Riccati equations. Circuits Syst Signal Process, 2013, 32: 1477\u20131488","journal-title":"Circuits Syst Signal Process"},{"key":"5173_CR4","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1109\/9.553695","volume":"42","author":"C H Lee","year":"1997","unstructured":"Lee C H. New results for the bounds of the solution for the continuous Riccati and lyapunov equations. IEEE Trans Automat Contr, 1997, 42: 118\u2013123","journal-title":"IEEE Trans Automat Contr"},{"key":"5173_CR5","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1080\/002071797224847","volume":"66","author":"C H Lee","year":"1997","unstructured":"Lee C H. On the upper and lower bounds of the solution for the continuous Riccati matrix equation. Int J Contr, 1997, 66: 105\u2013118","journal-title":"Int J Contr"},{"key":"5173_CR6","doi-asserted-by":"crossref","first-page":"1409","DOI":"10.1109\/TAC.2003.815029","volume":"48","author":"C H Lee","year":"2003","unstructured":"Lee C H. Solution bounds of the continuous Riccati matrix equation. IEEE Trans Automat Contr, 2003, 48: 1409\u20131414","journal-title":"IEEE Trans Automat Contr"},{"key":"5173_CR7","doi-asserted-by":"crossref","first-page":"2074","DOI":"10.1109\/TAC.2011.2179429","volume":"57","author":"C H Lee","year":"2012","unstructured":"Lee C H. A new approach for upper bound estimations of the solution of the continuous Riccati equation. IEEE Trans Automat Contr, 2012, 57: 2074\u20132077","journal-title":"IEEE Trans Automat Contr"},{"key":"5173_CR8","doi-asserted-by":"crossref","first-page":"1973","DOI":"10.1007\/s11432-009-0189-3","volume":"52","author":"Z S Duan","year":"2009","unstructured":"Duan Z S, Huang L, Yang Y. The effects of redundant control inputs in optimal control. Sci China Ser-F: Inf Sci, 2009, 52: 1973\u20131981","journal-title":"Sci China Ser-F: Inf Sci"},{"key":"5173_CR9","doi-asserted-by":"crossref","first-page":"2168","DOI":"10.1016\/j.automatica.2012.06.001","volume":"48","author":"Z S Duan","year":"2012","unstructured":"Duan Z S, Huang L, Yao Y, et al. On the effects of redundant control inputs. Automatica, 2012, 48: 2168\u20132174","journal-title":"Automatica"},{"key":"5173_CR10","first-page":"277","volume-title":"Matrix Mathematics: Theory, Facts and Formulas with Application to Linear Systems Theory","author":"D S Bernstein","year":"2005","unstructured":"Bernstein D S. Matrix Mathematics: Theory, Facts and Formulas with Application to Linear Systems Theory. Princeton: Princeton University Press, 2005. 277\u2013288"},{"key":"5173_CR11","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1063\/1.1291592","volume":"E83-A","author":"S W Kim","year":"2000","unstructured":"Kim S W, Park P G. Upper bounds of the continuous algebraic Riccati equation solution. IEICE Trans Fund Electron Commun Comput Sci, 2000, E83-A: 380\u2013385","journal-title":"IEICE Trans Fund Electron Commun Comput Sci"},{"key":"5173_CR12","first-page":"186","volume":"2","author":"C L Zhu","year":"2003","unstructured":"Zhu C L. The eigenvalue of the product of positive semi-definite matrix (in Chinese). J Huai Yin Teach Coll, 2003, 2: 186\u2013189","journal-title":"J Huai Yin Teach Coll"},{"key":"5173_CR13","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1109\/TAC.1978.1101676","volume":"23","author":"R V Patel","year":"1978","unstructured":"Patel R V, Toda M. On norm bounds for algebraic Riccati and lyapunov equations. IEEE Trans Automat Contr, 1978, 23: 87\u201388","journal-title":"IEEE Trans Automat Contr"},{"key":"5173_CR14","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1109\/TAC.1979.1102075","volume":"24","author":"K Yasuda","year":"1979","unstructured":"Yasuda K, Hirai K. Upper and lower bounds on the solution of the algebraic Riccati equation. IEEE Trans Automat Contr, 1979, 24: 483\u2013487","journal-title":"IEEE Trans Automat Contr"}],"container-title":["Science China Information Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-014-5173-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11432-014-5173-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-014-5173-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T15:37:58Z","timestamp":1559403478000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11432-014-5173-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,9,17]]},"references-count":14,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2015,5]]}},"alternative-id":["5173"],"URL":"https:\/\/doi.org\/10.1007\/s11432-014-5173-x","relation":{},"ISSN":["1674-733X","1869-1919"],"issn-type":[{"value":"1674-733X","type":"print"},{"value":"1869-1919","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,9,17]]}}}