{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T03:36:26Z","timestamp":1768707386064,"version":"3.49.0"},"publisher-location":"London","reference-count":12,"publisher":"Springer London","isbn-type":[{"value":"9781447151029","type":"electronic"}],"license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"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":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-1-4471-5102-9_201-3","type":"book-chapter","created":{"date-parts":[[2014,10,2]],"date-time":"2014-10-02T02:12:15Z","timestamp":1412215935000},"page":"1-8","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Linear Quadratic Optimal Control"],"prefix":"10.1007","author":[{"given":"Harry","family":"Trentelman","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,3,17]]},"reference":[{"key":"201-3_CR1","volume-title":"Linear optimal control","author":"BDO Anderson","year":"1971","unstructured":"Anderson BDO, Moore JB (1971) Linear optimal control. Prentice Hall, Englewood Cliffs"},{"key":"201-3_CR2","volume-title":"Finite dimensional linear systems","author":"RW Brockett","year":"1969","unstructured":"Brockett RW (1969) Finite dimensional linear systems. Wiley, New York"},{"key":"201-3_CR3","doi-asserted-by":"crossref","unstructured":"Clements DJ, Anderson BDO (1978) Singular optimal control: the linear quadratic problem. Volume 5 of lecture notes in control and information sciences. Springer, New York","DOI":"10.1007\/BFb0004988"},{"key":"201-3_CR4","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1017\/S0004972700041071","volume":"10","author":"WA Coppel","year":"1974","unstructured":"Coppel WA (1974) Matrix quadratic equations. Bull Aust Math Soc 10:377\u2013401","journal-title":"Bull Aust Math Soc"},{"key":"201-3_CR5","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1016\/0024-3795(83)90062-9","volume":"50","author":"MLJ Hautus","year":"1983","unstructured":"Hautus MLJ, Silverman LM (1983) System structure and singular control. Linear Algebra Appl 50:369\u2013402","journal-title":"Linear Algebra Appl"},{"key":"201-3_CR6","first-page":"102","volume":"5","author":"RE Kalman","year":"1960","unstructured":"Kalman RE (1960) Contributions to the theory of optimal control. Bol Soc Mat Mex 5:102\u2013119","journal-title":"Bol Soc Mat Mex"},{"key":"201-3_CR7","volume-title":"Linear optimal control theory","author":"H Kwakernaak","year":"1972","unstructured":"Kwakernaak H, Sivan R (1972) Linear optimal control theory. Wiley, New York"},{"key":"201-3_CR8","doi-asserted-by":"publisher","first-page":"262","DOI":"10.1016\/S0167-6911(83)80002-4","volume":"2","author":"JM Schumacher","year":"1983","unstructured":"Schumacher JM (1983) The role of the dissipation matrix in singular optimal control. Syst Control Lett 2:262\u2013266","journal-title":"Syst Control Lett"},{"key":"201-3_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-0339-4","volume-title":"Control theory for linear systems","author":"HL Trentelman","year":"2001","unstructured":"Trentelman HL, Hautus MLJ, Stoorvogel AA (2001) Control theory for linear systems. Springer, London"},{"key":"201-3_CR10","doi-asserted-by":"publisher","first-page":"621","DOI":"10.1109\/TAC.1971.1099831","volume":"16","author":"JC Willems","year":"1971","unstructured":"Willems JC (1971) Least squares stationary optimal control and the algebraic Riccati equation. IEEE Trans Autom Control 16:621\u2013634","journal-title":"IEEE Trans Autom Control"},{"key":"201-3_CR11","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1137\/0324018","volume":"24","author":"JC Willems","year":"1986","unstructured":"Willems JC, Kitap\u00e7i A, Silverman LM (1986) Singular optimal control: a geometric approach. SIAM J Control Optim 24:323\u2013337","journal-title":"SIAM J Control Optim"},{"issue":"4","key":"201-3_CR12","doi-asserted-by":"publisher","first-page":"681","DOI":"10.1137\/0306044","volume":"6","author":"WM Wonham","year":"1968","unstructured":"Wonham WM (1968) On a matrix Riccati equation of stochastic control. SIAM J Control Optim 6(4):681\u2013697","journal-title":"SIAM J Control Optim"}],"container-title":["Encyclopedia of Systems and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-4471-5102-9_201-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,9]],"date-time":"2023-02-09T22:46:35Z","timestamp":1675982795000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-1-4471-5102-9_201-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9781447151029"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-1-4471-5102-9_201-3","relation":{},"subject":[],"published":{"date-parts":[[2013]]},"assertion":[{"value":"30 December 2013, 03:59:50","order":1,"name":"received","label":"Received","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"30 December 2013, 03:59:50","order":2,"name":"accepted","label":"Accepted","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"17 March 2014","order":3,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}