{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,13]],"date-time":"2025-04-13T04:54:12Z","timestamp":1744520052615},"reference-count":63,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[1997,1,1]],"date-time":"1997-01-01T00:00:00Z","timestamp":852076800000},"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":[[1997]]},"DOI":"10.1109\/9.618238","type":"journal-article","created":{"date-parts":[[2002,8,24]],"date-time":"2002-08-24T20:40:30Z","timestamp":1030221630000},"page":"1085-1097","source":"Crossref","is-referenced-by-count":66,"title":["General matrix pencil techniques for the solution of algebraic Riccati equations: a unified approach"],"prefix":"10.1109","volume":"42","author":[{"given":"V.","family":"Ionescu","sequence":"first","affiliation":[]},{"given":"C.","family":"Oara","sequence":"additional","affiliation":[]},{"given":"M.","family":"Weiss","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1137\/0311037"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1080\/00207216308937540"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-58223-3_7"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.1982.268400"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1979.1102178"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.1978.267893"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(95)00257-X"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0039443"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(89)90707-6"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0255(71)80020-8"},{"key":"ref60","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1109\/9.280787","article-title":"spectral and inner-outer factorization in the general case through the constrained riccati equation","volume":"39","author":"weiss","year":"1994","journal-title":"IEEE Transactions on Automatic Control"},{"key":"ref62","author":"wilkinson","year":"1965","journal-title":"The Algebraic Eigenvalue Problem"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1971.1099831"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(79)90140-X"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-58223-3_2"},{"key":"ref27","author":"kuriyama","year":"1995","journal-title":"Studies on the extended $H_\\infty$ control theory"},{"key":"ref29","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198537953.001.0001","author":"lancaster","year":"1995","journal-title":"Algebraic Riccati Equations"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1987.1104694"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(88)90003-1"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012994261823"},{"key":"ref22","article-title":"indefinite sign riccati theory for descriptor systems","author":"ionescu","year":"1997","journal-title":"Proc 4th European Contr Conf"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/BF01191245"},{"key":"ref24","author":"kailath","year":"1980","journal-title":"Linear Systems"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/0319018"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-58223-3_3"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1968.1098829"},{"key":"ref50","author":"stoorvogel","year":"1992","journal-title":"The $H^ \\infty $ Control Problem A State-Space Approach"},{"key":"ref51","doi-asserted-by":"crossref","first-page":"1128","DOI":"10.23919\/ACC.1992.4792268","article-title":"the discrete-time riccati equation related to $h^{\\infty}$<\/tex><\/formula> control problems","author":"stoorvogel","year":"1992","journal-title":"Proc 1992 Amer Contr Conf"},{"key":"ref59","author":"weiss","year":"1994","journal-title":"Riccati equations in Hilbert spaces A Popov function approach"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.1982.268402"},{"key":"ref57","first-page":"337","article-title":"computation of kronecker-like forms of system pencils and applications","author":"varga","year":"0","journal-title":"Proc Wkshp Descriptor Syst"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(94)00017-P"},{"key":"ref55","first-page":"392","article-title":"numerical algorithms and software tools for analysis and modeling of descriptor systems","author":"varga","year":"1992","journal-title":"Proc 2nd IFAC Wkshp Syst Structure Contr"},{"key":"ref54","first-page":"89","article-title":"computation of irreductible generalized state-space systems","volume":"26","author":"varga","year":"1989","journal-title":"Kybernetika"},{"key":"ref53","volume":"973","author":"van dooren","year":"1983","journal-title":"Reducing subspaces Definitions properties and algorithms"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1137\/0902010"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(89)90677-0"},{"key":"ref40","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/0024-3795(94)00341-6","article-title":"stabilizing solution to the reverse discrete-time riccati equation","volume":"246","author":"oara\u02d8","year":"1996","journal-title":"Linear Algebra Its Appl"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/9.29425"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1980.1102449"},{"key":"ref13","volume":"i and ii","author":"gantmacher","year":"1959","journal-title":"Theory of Matrices"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-7418-2"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8499-0"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(92)90053-D"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(93)90277-U"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1080\/00207179308934382"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(94)00035-2"},{"key":"ref4","article-title":"a collection of benchmark examples for the numerical solution of algebraic riccati equations i: continuous-time case","author":"benner","year":"1995","journal-title":"Technische Universitat Chemnitz-Zwickau"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(87)90119-1"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-58223-3"},{"key":"ref5","article-title":"a collection of benchmark examples for the numerical solution of algebraic riccati equations ii: discrete-time case","author":"benner","year":"1995","journal-title":"Technische Universitat Chemnitz-Zwickau"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/0613028"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1986.1104186"},{"key":"ref49","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1137\/1015095","article-title":"error perturbation bounds for subspaces associated with certain eigenvalue problems","volume":"15","author":"stewart","year":"1973","journal-title":"SIAM Rev"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1137\/0610001"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1137\/0114044"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-65654-5"},{"key":"ref48","article-title":"discrete riccati equations: alternative algorithms, asymptotic properties and system theoretic interpretations","volume":"12","author":"silverman","year":"1976","journal-title":"Control and Dynamic Systems Advances in Theory and Applications"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/BF01936867"},{"key":"ref42","author":"oara\u02d8","year":"1995","journal-title":"Generalized Riccati theory A Popov function approach"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1007\/BF02140690"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1980.1102434"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(96)00078-3"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx4\/9\/13432\/00618238.pdf?arnumber=618238","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,5]],"date-time":"2024-01-05T18:45:14Z","timestamp":1704480314000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/618238\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997]]},"references-count":63,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/9.618238","relation":{},"ISSN":["0018-9286"],"issn-type":[{"value":"0018-9286","type":"print"}],"subject":[],"published":{"date-parts":[[1997]]}}}