Kaczorek, Tadeusz; Przyborowski, Przemysław Reachability, controllability to zero and observability of the positive discrete-time Lyapunov systems. (English) Zbl 1301.93025 Control Cybern. 38, No. 2, 529-541 (2009). 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. Cited in 2 Documents MSC: 93B03 Attainable sets, reachability 93B05 Controllability 93B07 Observability 93C55 Discrete-time control/observation systems Keywords:reachability; controllability to zero; observability; Lyapunov systems PDF BibTeX XML Cite \textit{T. Kaczorek} and \textit{P. Przyborowski}, Control Cybern. 38, No. 2, 529--541 (2009; Zbl 1301.93025) OpenURL