The paper presents partial-realization theory and a realization algorithm for linear switched systems. The results are similar to partial-realization theory of linear and bilinear systems. Our main tool is the theory of rational formal power series.
Petreczky, M., & Schuppen, J. H. V. (2011). Partial-realization theory for linear switched systems - A formal power series approach. Automatica, 47(10), 2177-2184. https://doi.org/10.1016/j.automatica.2011.08.013