Methods for the interpolation of DLTI ROMs¶
This is library for state-space models interpolation. These routines are intended for small size state-space models (ROMs), hence some methods may not be optimised to exploit sparsity structures. For generality purposes, all methods require in input interpolatory weights.
The module includes the methods:
transfer_function()
: returns an interpolatory state-space model based on the transfer function method [1]. This method is general and is, effectively, a wrapper of thesharpy.linear.src.libss.join()
method.BT_transfer_function()
: evolution of transfer function methods. The growth of the interpolated system size is avoided through balancing.
References:
[1] Benner, P., Gugercin, S. & Willcox, K., 2015. A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems. SIAM Review, 57(4), pp.483–531.
Author: S. Maraniello
Date: Mar-Apr 2019