Name
Title | ||
|---|---|---|
Optimal $\mathcal{H}_{2}$ model approximation based on multiple input/output delays systems. |
Abstract | ||
|---|---|---|
In this paper, the $mathcal{H}_{2}$ optimal approximation of a $n_{y}times{n_{u}}$ transfer function $mathbf{G}(s)$ by a finite dimensional system $hat{mathbf{H}}_{d}(s)$ including input/output delays, is addressed. The underlying $mathcal{H}_{2}$ optimality conditions of the approximation problem are firstly derived and established in the case of a poles/residues decomposition. These latter form an extension of the tangential interpolatory conditions, presented in~cite{gugercin2008h_2,dooren2007} for the delay-free case, which is the main contribution of this paper. Secondly, a two stage algorithm is proposed in order to practically obtain such an approximation. |
Year | Venue | Field |
|---|---|---|
2015 | arXiv: Systems and Control | Discrete mathematics,Mathematical optimization,Control theory,Input/output,Transfer function,Mathematics |
DocType | Volume | Citations |
Journal | abs/1511.05252 | 0 |
PageRank | References | Authors |
0.34 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Igor Pontes Duff | 1 | 3 | 2.54 |
| Charles Poussot-Vassal | 2 | 25 | 13.45 |
| Cédric Seren | 3 | 5 | 3.02 |