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Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control
1. | Max Planck Institute for Dynamics of Complex Technical Systems, Computational Methods in Systems and Control Theory, Magdeburg, Germany, Germany, Germany |
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show all references
References:
[1] |
in Proc. European Control Conf. ECC 2014, Strasbourg, IEEE, 2014, 1075-1079. Google Scholar |
[2] |
Numer. Lin. Alg. Appl., 19 (2012), 700-727.
doi: 10.1002/nla.799. |
[3] |
SIAM Publications, Philadelphia, PA, 2005.
doi: 10.1137/1.9780898718713. |
[4] |
Systems Control Lett., 46 (2002), 323-342.
doi: 10.1016/S0167-6911(02)00147-0. |
[5] |
SIAM, Philadelphia, PA, 1998.
doi: 10.1137/1.9781611971392. |
[6] |
SIAM J. Sci. Comput., 37 (2015), A832-A858.
doi: 10.1137/140980016. |
[7] |
Numer. Algorithms, 46 (2007), 351-368.
doi: 10.1007/s11075-007-9143-x. |
[8] |
Systems Control Lett., 67 (2014), 55-64.
doi: 10.1016/j.sysconle.2014.02.005. |
[9] |
Numer. Algorithms, 62 (2013), 225-251.
doi: 10.1007/s11075-012-9569-7. |
[10] |
Math. Comput. Model. Dyn. Syst., 19 (2013), 593-615.
doi: 10.1080/13873954.2013.794363. |
[11] |
Electron. Trans. Numer. Anal., 43 (2014), 142-162. |
[12] |
Numer. Lin. Alg. Appl., 15 (2008), 755-777.
doi: 10.1002/nla.622. |
[13] |
Springer-Verlag, Berlin/Heidelberg, Germany, 2005.
doi: 10.1007/3-540-27909-1. |
[14] |
SIAM J. Numer. Anal, 52 (2014), 581-600.
doi: 10.1137/130923993. |
[15] |
SIAM J. Matrix Anal. Appl., 15 (1994), 1310-1318.
doi: 10.1137/S0895479892233230. |
[16] |
Elsevier Academic Press, 2004. |
[17] |
European Consortium for Mathematics in Industry, B. G. Teubner GmbH, Stuttgart, 1998.
doi: 10.1007/978-3-663-09828-7. |
[18] |
Internat. J. Control, 39 (1984), 1115-1193.
doi: 10.1080/00207178408933239. |
[19] |
Johns Hopkins University Press, Baltimore, 1983. |
[20] |
SIAM J. Matrix Anal. Appl., 29 (2007), 870-894.
doi: 10.1137/040618102. |
[21] |
SIAM J. Sci. Comput., 35 (2013), B1010-B1033.
doi: 10.1137/130906635. |
[22] |
SIAM J. Sci. Comput., 30 (2008), 1038-1063.
doi: 10.1137/070681910. |
[23] |
in Finite Element Methods in Flow Problems (eds. J. T. Oden, R. H. Gallagher, C. Taylor and O. C. Zienkiewicz), University of Alabama in Huntsville Press, 1974, 121-132. Google Scholar |
[24] |
Textbooks in Mathematics, EMS Publishing House, Zürich, Switzerland, 2006.
doi: 10.4171/017. |
[25] |
SIAM J. Matrix Anal. Appl., 24 (2002), 260-280.
doi: 10.1137/S0895479801384937. |
[26] |
SIAM J. Sci. Comput., 21 (2000), 1401-1418.
doi: 10.1137/S1064827598347666. |
[27] |
Manchester University Press, Manchester, UK, 1992. |
[28] |
Springer-Verlag, Berlin, Heidelberg, 2008.
doi: 10.1007/978-3-540-78841-6. |
[29] |
SIAM J. Sci. Comput., 29 (2007), 1268-1288.
doi: 10.1137/06066120X. |
[30] |
2nd edition, Springer-Verlag, New York, NY, 1998.
doi: 10.1007/978-1-4612-0577-7. |
[31] |
Linear Algebra Appl., 415 (2006), 262-289.
doi: 10.1016/j.laa.2004.01.015. |
[32] |
Math. Control Signals Systems, 16 (2004), 297-319.
doi: 10.1007/s00498-004-0141-4. |
[33] |
Internat. J. Control, 46 (1987), 1319-1330.
doi: 10.1080/00207178708933971. |
[34] |
SIAM J. Matrix Anal. Appl., 31 (2010), 2553-2579.
doi: 10.1137/090764566. |
[35] |
arXiv e-prints 1312.1142v1, Cornell University, 2013, http://arxiv.org/abs/1312.1142, Math. NA. Google Scholar |
[36] |
Internat. J. Robust and Nonlinear Cont., 9 (1999), 183-198.
doi: 10.1002/(SICI)1099-1239(199903)9:3<121::AID-RNC395>3.0.CO;2-1. |
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