Realization theory of discrete-time linear switched systems

The paper presents realization theory of discrete-time linear switched systems (abbreviated by DTLSSs). We present necessary and sufficient conditions for an input-output map to admit a discrete-time linear switched state-space realization. In addition, we present a characterization of minimality of discrete-time linear switched systems in terms of reachability and observability. Further, we prove that minimal realizations are unique up to isomorphism. We also discuss procedures for converting a linear switched system to a minimal one and for constructing a state-space representation from input-output data. The paper uses the theory of rational formal power series in non-commutative variables.

• Type: Journal
• Year: 2011
• Where: CORR
• Authors: Mihály Petreczky, Laurent Bako, Jan H. van Schuppen
• Keywords: CORR 2011, Discrete-time Linear, Education, Linear Switched Systems, Rational Formal Power