H2-optimal approximation of MIMO linear dynamical systems
| dc.creator | Van Dooren, Paul | |
| dc.creator | Gallivan, Kyle A. | |
| dc.creator | Absil, P. -A. | |
| dc.date | 2008-07-30 | |
| dc.date.accessioned | 2026-07-07T09:53:42Z | |
| dc.date.available | 2026-07-07T09:53:42Z | |
| dc.description | We consider the problem of approximating a multiple-input multiple-output (MIMO) $p\times m$ rational transfer function $H(s)$ of high degree by another $p\times m$ rational transfer function $\hat H(s)$ of much smaller degree, so that the ${\cal H}_2$ norm of the approximation error is minimized. We characterize the stationary points of the ${\cal H}_2$ norm of the approximation error by tangential interpolation conditions and also extend these results to the discrete-time case. We analyze whether it is reasonable to assume that lower-order models can always be approximated arbitrarily closely by imposing only first-order interpolation conditions. Finally, we analyze the ${\cal H}_2$ norm of the approximation error for a simple case in order to illustrate the complexity of the minimization problem. | |
| dc.description | Paper ID sheet: http://www.inma.ucl.ac.be/~absil/Publi/H2-modred-mimo.htm | |
| dc.identifier | https://arxiv.org/abs/0807.4807 | |
| dc.identifier | http://arxiv.org/abs/0807.4807 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166046 | |
| dc.subject | Optimization and Control | |
| dc.subject | Dynamical Systems | |
| dc.subject | 41A05; 65D05; 93B40 | |
| dc.title | H2-optimal approximation of MIMO linear dynamical systems | |
| dc.type | text |