{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,24]],"date-time":"2026-01-24T08:08:05Z","timestamp":1769242085306,"version":"3.49.0"},"reference-count":21,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2010,1]]},"DOI":"10.1109\/tac.2009.2033841","type":"journal-article","created":{"date-parts":[[2009,12,1]],"date-time":"2009-12-01T15:07:58Z","timestamp":1259680078000},"page":"191-194","source":"Crossref","is-referenced-by-count":74,"title":["Solving the Matrix Differential Riccati Equation: A Lyapunov Equation Approach"],"prefix":"10.1109","volume":"55","author":[{"given":"Z.","family":"Gajic","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1968.1098829"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/S0005-1098(98)00141-1","article-title":"eigenvector approach for order-reduction of singularly perturbed linear-quadratic optimal control problems","volume":"35","author":"kecman","year":"1999","journal-title":"Automatica"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(87)90222-9"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1137\/0114044"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1979.1102178"},{"key":"ref15","author":"sima","year":"1996","journal-title":"Algorithms for Linear-Quadratic Optimization"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972700041071"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1980.1102495"},{"key":"ref18","author":"gajic","year":"2008","journal-title":"Lyapunov Matrix Equation in System Stability and Control"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/2.3.303"},{"key":"ref4","author":"anderson","year":"1971","journal-title":"Linear Optimal Control"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1973.1100210"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1017\/S0334270000004550"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1080\/00207177208932213"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1007\/10997703_12","volume":"312 2005","author":"vandenberghe","year":"2005","journal-title":"Positive Polynomials in Control"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/S0895-7177(98)00035-1"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1985.1103822"},{"key":"ref1","first-page":"102","article-title":"contribution to the theory of optimal control","volume":"5","author":"kalman","year":"1960","journal-title":"Bol Soc Mat Mex"},{"key":"ref9","author":"kwakernaak","year":"1972","journal-title":"Linear Optimal Control Systems"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1137\/04061101X"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1983.1103343"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/9\/5379206\/05340647.pdf?arnumber=5340647","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,11]],"date-time":"2021-10-11T01:00:15Z","timestamp":1633914015000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5340647\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":21,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tac.2009.2033841","relation":{},"ISSN":["0018-9286","1558-2523"],"issn-type":[{"value":"0018-9286","type":"print"},{"value":"1558-2523","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1]]}}}