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Reachability, controllability to zero and observability of the positive discrete-time Lyapunov systems. (English) Zbl 1301.93025

Summary: The new necessary and sufficient conditions for the reachability, controllability to zero and observability of the positive discrete-time Lyapunov systems are established. The notion of the dual positive Lyapunov system is introduced and the relationship between the reachability and observability are given. The considerations are illustrated with numerical examples.

MSC:

93B03 Attainable sets, reachability
93B05 Controllability
93B07 Observability
93C55 Discrete-time control/observation systems
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