The paper deals with the realization theory of linear switched systems. First, it presents a procedure for constructing a minimal realization from a given linear switched system. Second, it gives necessary and sufficient conditions for an input-output map to be realizable by a linear switched system. The proof of the sufficiency also yields a procedure for constructing a minimal representation of the input-output map.

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Modelling, Analysis and Simulation [MAS]
Scientific Computing

Petreczky, M. (2004). Realization theory for linear switched systems. Modelling, Analysis and Simulation [MAS]. CWI.