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CORR
2011
Springer

Realization theory of discrete-time linear switched systems

8 years 10 days ago
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.
Mihály Petreczky, Laurent Bako, Jan H. van
Added 13 May 2011
Updated 13 May 2011
Type Journal
Year 2011
Where CORR
Authors Mihály Petreczky, Laurent Bako, Jan H. van Schuppen
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