In this paper we introduce the novel concept of a hybrid generating series and show that continuous state and output trajectories of bilinear hybrid systems can be described in terms of these series. The results represent an extension of the Fliess-series expansion for bilinear systems to hybrid systems.
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Elsevier
doi.org/10.1016/j.sysconle.2010.01.007
Systems & Control Letters
Scientific Computing

Petreczky, M., & van Schuppen, J. (2010). Generating series for bilinear hybrid systems. Systems & Control Letters, 59(3-4), 218–225. doi:10.1016/j.sysconle.2010.01.007