Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4975884 | Journal of the Franklin Institute | 2011 | 22 Pages |
Abstract
In this paper, we use input and output maps to develop simple procedures to obtain minimal realizations for linear continuous-time systems. The procedures developed are numerically efficient and yield explicit formulae for the state-space matrices of the realization in terms of the system parameters, notably the system eigenvalues. Both systems with distinct eigenvalues and repeated eigenvalues are treated. We also present a procedure for transforming a realization obtained through the input or output map to Jordan canonical form. The transformation matrices required to transform the realization to Jordan canonical form are specified entirely in terms of the system eigenvalues. We illustrate the results obtained with several examples.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
M. Sami Fadali, Hossein M. Oloomi,