{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T16:00:21Z","timestamp":1725897621537},"publisher-location":"Berlin, Heidelberg","reference-count":20,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642360619"},{"type":"electronic","value":"9783642360626"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-36062-6_22","type":"book-chapter","created":{"date-parts":[[2013,2,19]],"date-time":"2013-02-19T17:39:20Z","timestamp":1361295560000},"page":"217-224","source":"Crossref","is-referenced-by-count":1,"title":["MPC\/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations"],"prefix":"10.1007","author":[{"given":"Peter","family":"Benner","sequence":"first","affiliation":[]},{"given":"Sabine","family":"Hein","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"3","key":"22_CR1","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1137\/0329029","volume":"29","author":"H. Banks","year":"1991","unstructured":"Banks, H., Ito, K.: A numerical algorithm for optimal feedback gains in high dimensional linear quadratic regulator problems. SIAM J. Cont. Optim.\u00a029(3), 499\u2013515 (1991)","journal-title":"SIAM J. Cont. Optim."},{"key":"22_CR2","doi-asserted-by":"publisher","first-page":"684","DOI":"10.1137\/0322043","volume":"22","author":"H. Banks","year":"1984","unstructured":"Banks, H., Kunisch, K.: The linear regulator problem for parabolic systems. SIAM J. Cont. Optim.\u00a022, 684\u2013698 (1984)","journal-title":"SIAM J. Cont. Optim."},{"issue":"1","key":"22_CR3","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1109\/MCS.2004.1272745","volume":"14","author":"P. Benner","year":"2004","unstructured":"Benner, P.: Solving large-scale control problems. IEEE Control Systems Magazine\u00a014(1), 44\u201359 (2004)","journal-title":"IEEE Control Systems Magazine"},{"issue":"1","key":"22_CR4","doi-asserted-by":"publisher","first-page":"781","DOI":"10.1002\/pamm.200610371","volume":"6","author":"P. Benner","year":"2006","unstructured":"Benner, P., G\u00f6rner, S.: MPC for the Burgers equation based on an LGQ design. Proc. Appl. Math. Mech.\u00a06(1), 781\u2013782 (2006)","journal-title":"Proc. Appl. Math. Mech."},{"key":"22_CR5","unstructured":"Benner, P., Hein, S.: Model predictive control based on an LQG design for time-varying linearizations. Preprint CSC\/09\u201307, Chemnitz Scientific Computing Preprints, Fakult\u00e4t f\u00fcr Mathematik, TU Chemnitz (2009), \n                    \n                      http:\/\/nbn-resolving.de\/urn:nbn:de:bsz:ch1-201000221"},{"issue":"1","key":"22_CR6","doi-asserted-by":"publisher","first-page":"613","DOI":"10.1002\/pamm.200910278","volume":"9","author":"P. Benner","year":"2009","unstructured":"Benner, P., Hein, S.: Model predictive control for nonlinear parabolic differential equations based on a linear quadratic Gaussian design. Proc. Appl. Math. Mech.\u00a09(1), 613\u2013614 (2009)","journal-title":"Proc. Appl. Math. Mech."},{"issue":"9","key":"22_CR7","doi-asserted-by":"publisher","first-page":"755","DOI":"10.1002\/nla.622","volume":"15","author":"P. Benner","year":"2008","unstructured":"Benner, P., Li, J.R., Penzl, T.: Numerical solution of large Lyapunov equations, Riccati equations, and linear-quadratic control problems. Numer. Lin. Alg. Appl.\u00a015(9), 755\u2013777 (2008)","journal-title":"Numer. Lin. Alg. Appl."},{"key":"22_CR8","unstructured":"Benner, P., Saak, J.: Linear-quadratic regulator design for optimal cooling of steel profiles. Tech. Rep. SFB393\/05-05, Sonderforschungsbereich 393 Parallele Numerische Simulation f\u00fcr Physik und Kontinuumsmechanik, TU Chemnitz, 09107 Chemnitz, FRG (2005), \n                    \n                      http:\/\/www.tu-chemnitz.de\/sfb393"},{"key":"22_CR9","unstructured":"Benner, P., Saak, J.: A Galerkin-Newton-ADI Method for Solving Large-Scale Algebraic Riccati Equations. Preprint SPP1253-090, DFG Priority Program \u201cOptimization with Partial Differential Equations\u201d (SPP1253) (January 2010), \n                    \n                      http:\/\/www.am.uni-erlangen.de\/home\/spp1253\/wiki\/index.php\/Preprints"},{"key":"22_CR10","series-title":"Advanced Textbooks in Control and Signal Processing","volume-title":"Model Predictive Control","author":"E. Camacho","year":"2004","unstructured":"Camacho, E., Bordons, C.: Model Predictive Control, 2nd edn. Advanced Textbooks in Control and Signal Processing. Springer, London (2004)","edition":"2"},{"key":"22_CR11","series-title":"LNCIS","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0006761","volume-title":"Infinite Dimensional Linear System Theory","author":"R. Curtain","year":"1978","unstructured":"Curtain, R., Pritchard, T.: Infinite Dimensional Linear System Theory. LNCIS, vol.\u00a08. Springer, New York (1978)"},{"key":"22_CR12","unstructured":"Datta, B.: Numerical Methods for Linear Control Systems. Elsevier Academic Press (2004)"},{"key":"22_CR13","volume-title":"One-Parameter Semigroups for Linear Evolution Equations","author":"K.L. Engel","year":"2000","unstructured":"Engel, K.L., Nagel, R.: One-Parameter Semigroups for Linear Evolution Equations. Springer, New York (2000)"},{"key":"22_CR14","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-85729-501-9","volume-title":"Nonlinear Model Predictive Control: Theory and Algorithms","author":"L. Gr\u00fcne","year":"2011","unstructured":"Gr\u00fcne, L., Pannek, J.: Nonlinear Model Predictive Control: Theory and Algorithms. Springer, London (2011)"},{"key":"22_CR15","unstructured":"Hein, S.: MPC\/LQG-Based Optimal Control of Nonlinear Parabolic PDEs. Ph.D. thesis, TU Chemnitz, Department of Mathematics (March 2010), \n                    \n                      http:\/\/nbn-resolving.de\/urn:nbn:de:bsz:ch1-201000134"},{"key":"22_CR16","doi-asserted-by":"publisher","first-page":"1455","DOI":"10.1137\/S0363012900366042","volume":"40","author":"K. Ito","year":"2001","unstructured":"Ito, K., Kunisch, K.: On asymptotic properties of receding horizon optimal control. SIAM J. Cont. Optim.\u00a040, 1455\u20131472 (2001)","journal-title":"SIAM J. Cont. Optim."},{"key":"22_CR17","doi-asserted-by":"publisher","first-page":"741","DOI":"10.1051\/cocv:2002032","volume":"8","author":"K. Ito","year":"2002","unstructured":"Ito, K., Kunisch, K.: Receding horizon optimal control for infinite dimensional systems. ESAIM: Control Optim. Calc. Var.\u00a08, 741\u2013760 (2002)","journal-title":"ESAIM: Control Optim. Calc. Var."},{"issue":"1","key":"22_CR18","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1137\/S0363012903437988","volume":"45","author":"K. Ito","year":"2006","unstructured":"Ito, K., Kunisch, K.: Receding horizon control with incomplete observations. SIAM J. Cont. Optim.\u00a045(1), 207\u2013225 (2006)","journal-title":"SIAM J. Cont. Optim."},{"key":"22_CR19","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1115\/1.3658902","volume":"83","author":"R. Kalman","year":"1961","unstructured":"Kalman, R., Bucy, R.: New results in linear filtering and prediction theory. Trans. ASME, Series D\u00a083, 95\u2013108 (1961)","journal-title":"Trans. ASME, Series D"},{"key":"22_CR20","series-title":"Lect. Notes Pure Appl. Math","first-page":"257","volume-title":"Control and Boundary Analysis","author":"K. Morris","year":"2005","unstructured":"Morris, K., Navasca, C.: Solution of algebraic Riccati equations arising in control of partial differential equations. In: Control and Boundary Analysis. Lect. Notes Pure Appl. Math, vol.\u00a0240, pp. 257\u2013280. Chapman & Hall\/CRC, Boca Raton (2005)"}],"container-title":["IFIP Advances in Information and Communication Technology","System Modeling and Optimization"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-36062-6_22","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,11]],"date-time":"2019-05-11T08:47:59Z","timestamp":1557564479000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-36062-6_22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642360619","9783642360626"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-36062-6_22","relation":{},"ISSN":["1868-4238","1861-2288"],"issn-type":[{"type":"print","value":"1868-4238"},{"type":"electronic","value":"1861-2288"}],"subject":[],"published":{"date-parts":[[2013]]}}}